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John H. Cushman
University Distinguished Professor of Earth and Atmospheric
Science
Professor Mathematics
Ph.D. 1978 Mathematics and
Soil Physics.
Office: Math Sciences, Room 816
Mailing Address:Purdue University
Earth and Atmospheric Sciences
550 Stadium Mall Drive
West Lafayette, IN 47907-2051
E-mail: jcushman@purdue.edu
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Academic
Record
B.S. |
1975 Mathematics, Iowa State University |
M.S. |
1976 Mathematics and Soil Physics, Iowa State University |
Ph.D. |
1978 Mathematics and Soil Physics, Iowa State University |
Appointments
2005 |
University Distinguished Professor of Earth and Atmospheric
Sciences |
2001 (Fall) |
Visiting Scholar, Dept. of Molecular and Cellular Biology,
Harvard University |
1998 (Fall) |
Visiting Professor of Environmental Fluid Mechanics,
University of Rome I (La Sapienza) |
1995 (Fall) |
Visiting Professor of Applied Mathematics, Departmento de
Matematica, PUC-RIO, Brazil |
1995 - |
Professor of Mathematics, Purdue University |
1994 - 1995 |
Visiting Professor of Applied Mathematics, Purdue University |
1985 - 1988 |
President, Hydroscience Associates, Inc. |
1984 - 1988 |
Director of the Indiana Water Resources Research Center |
1985 - |
Professor of Environmental Physics, Purdue University |
1982 - 1985 |
Associate Professor of Environmental Physics, Purdue
University |
1978 - 1982 |
Assistant Professor of Environmental Physics, Purdue
University |
Scientific Expertise
Confined
nanofilms, up-scaling, porous media and multi-phase physics, swelling
biopolymers, statistical mechanics, stochastic processes, microbial
dynamics, polar and classical continuum mechanics.
Professional Recognitions
- Purdue University, School
of Science, Graduate Mentor Award
(2006)
- University Distinguished
Professor (2005)
- Fellow, American Geophysical
Union (1996)
- Purdue University Herbert
Newby McCoy Award (1995) given in honor of the faculty member who made
the most significant contribution to science during the previous year.
- Editor-in-Chief: the
International Journal of Stochastic Hydrology and Hydraulics
(1992-1997).
- Guest Editor: special volume
on Fractal Porous Media for the Journal of Transport in Porous Media
13(1), (1993).
- Member of the International
Editorial Board of the journal: Transport in Porous Media (1991-2005 )
- Member of the Editorial Board
of the journal: Water Resources Research (1990 -1998 ).
- Member of the International
Editorial Board of the journal: Stochastic Hydrology and Hydraulics
(1990 – 1992, 1997-).
- Member of the International
Editorial Board of the journal: Advances in Water Resources
(1986-1988).
- Fellow, Soil Science Society
of America (1990).
- Appointed by Secretaries of
Energy Hodel and Herrington to be a member of the Secretary of Energy's
Subcommittee on Ecology (1985-1986).
- Appointed by Secretaries of
Energy Hodel and Herrington to be a member of the Secretary of Energy's
Health and Environmental Research Advisory Committee (1985-1988)
- Purdue University Agriculture
Research Award for development of a model to simulate uptake of ions by
growing roots (1983).
Membership in Academic, Professional, and
Scholarly Societies
- Society for Industrial and
Applied Math
- American Geophysical Union
(Fellow)
- Society of Engineering Science
- Soil Science Society of
America (Fellow)
- Materials Research Society
Books
Low, P.F., J.H. Cushman and C.B. Roth, (2007), The
Physical Chemistry of Clay Colloids, Kluwer Academic Press, 400 pages
(in revision)
Cushman, J.H., (1997), The
Physics of Fluids in Hierarchical Porous Media: Angstroms to Miles,
Kluwer Academic Press, 490 pages.
Cushman, J.H., editor (1990) Dynamics
of Fluids in Hierarchical Porous Media. Academic Press,
London, 500 pages.
Novels
Cushman, J.H. (2007)
The Bandeirante’s Stones: Discovery, 325 pages (Submitted).
Cushman, J.H. (2007)
The Bandeirante’s Stones: Origins, 315 pages (Submitted).
Short Stories
Cushman, J.H. (2007) The Bandeirante, 4000 words (submitted) (download
an excerpt from the "Bandeirante")
Papers and Book Chapters
- Kleinfelter-Domelle*,
N., M. Moroni* and J.H. Cushman (2008) The Generalized Dispersion
Tensor
Revisited: Theory and Calculation for Homogeneous Porous Media. Phys
Fluids
(submitted).
- Park*,
M. and J. H. Cushman (2008) Operator-Stable Levy Motions and
Renormalizing the
Chaotic Dynamics of Microbes in Anisotropic Porous Media. SIAM
Multiscale
Modeling and Simulation (in revision)
- Parashar*,
R., D. O’Malley* and J. H. Cushman (2008) Mean First Passage Time for
Supper-Diffusion in a Slit-Pore With Sticky Boundary. Phys. Rev. E. (in
revision).
- Cushman,
J.H., M. Moroni*, N. Kleinfelter-Domelle* and M. Park* (2008) A
Universal Field
Equation for Dispersive Processes in Geophysics. J. Geophysical
Research
(accepted).
- Moroni*,
M., A. Cenedese
and J.H. Cushman (2008) Application of 3D-PTV to Track Passive Scalars
in
Porous Media. Transport in Porous Media
(in
press).
- Moroni*,
M., N.
Kleinfelter-Domelle* and J. H. Cushman (2008) Novel Measures of
Dispersion
Applied to a Convoluted Channel. Advances in Water Resources (in press).
- Parashar*,
R. and J. H. Cushman (2008) Scaling the Fractional Advective-Dispersive
Equation for Numerical Evaluation of Microbial Dynamics in Confined
Geometries
With Sticky Boundaries. J Computational Physics 227:6598-6611.
- Weinstein*,
T., J. H. Cushman and L. S. Bennethum* (2008) Two-Scale, Three-Phase
Theory for
Swelling Drug Delivery Systems. Part I: Mixture Theory. J. Pharm Sci
97(5):
1878-1903.
- Weinstein*,
T., J. H. Cushman and L. S. Bennethum* (2008) Two-Scale, Three-Phase
Theory for
Swelling Drug Delivery Systems. Part II: Flow and Transport. J. Pharm
Sci
97(5): 1904-1915.
- Parashar*,
R., and J. H. Cushman (2007) The finite-size Lyapunov exponent for Levy
motions. Phys Rev E. 76, 017201-1 to 017201-4
- Moroni*,
M., N.
Kleinfelter* and J. H. Cushman (2007) Analysis of dispersion in porous
media
via matched index particle tracking velocimetry experiments. Advances in Water Resources. 30: 1-15.
- Kleinfelter*,
N., M. Park* and J. H. Cushman (2007) Mixture theory for unsaturated
flow in swelling
soils. Transport in Porous Media 68 (1): 69-89.
- Bonilla*,
F. A., N. Kleinfelter* and J.H.
Cushman (2007)
Microfluidic Aspects of Adhesive Microbial Dynamics, Advances Water
Resources
30: 1680-1695.
- Kleinfelter*,
N. and J. H. Cushman (2007) Nonreactive contaminant transport in the
saturated zone,
Ch 18 in Handbook of Groundwater Engineering, 2nd
addition.,
(ed) J. Delleur. CRC Press, pp18-1 to 18-18.
- Cushman,
J.H. and T. R. Ginn* (2007) Reactive contaminant transport in the
saturated
zone, Ch 19 in Handbook of Groundwater Engineering, 2nd
addition.,
(ed) J. Delleur. CRC Press, pp19-1 to 19-29.
- Park*,
M. and J. H. Cushman (2006) On upscaling operator-stable Levy motions
in
fractal porous media. J. Comp. Phys. 217:159-165.
- Park*,
M., N. Kleinfelter* and J. H. Cushman (2006) Renormalizing chaotic
dynamics in
fractal porous media with application to microbe motility.
Geophysical Research Letters, 33, L01401, 1-4.
- Park*,
M., N. Kleinfelter* and J. H. Cushman (2005) Scaling laws and
Fokker-Planck
equations for 3-dimensional porous media with fractal mesoscale. SIAM Multiscale Modeling
and
Simulation, 4(4): 1233-1244.
- Park*,
M., N. Kleinfelter* and J. H. Cushman (2005) Scaling laws and
dispersion
equations for Levy particles in 1-dimensional fractal porous media.,
Physical
Review E, 72, 056305: 1-7.
- Kleinfelter*,
N., M. Moroni*, and J. H. Cushman (2005) Application of a finite-size
Lyapunov
exponent to particle tracking velocimetry in fluid mechanics
experiments. Physical
Review E, 72, 056306: 1-12.
- Cushman,
J. H., M. Park*, N. Kleinfelter*, and M Moroni* (2005) Super-diffusion
via Levy
Lagrangian velocity processes. Geophysical Research Letters, 32 (19)
L19816: 1-4.
- Axtell*,
N.K., M. Park* and J.H. Cushman (2005) Micromorphic fluid in an elastic
porous
body: Blood flow in tissues. Int. J.
Multiscale
Computational Engineering. 3(1).
- Cushman,
J. H., L.S. Bennethum* and P.P. Singh* (2004) Toward rational design of
drug
delivery substrates: I. Mixture theory for two-scale biocompatible
polymers. SIAM J.
Multiscale Modeling and Simulation 2(2): 302-334.
- Cushman,
J. H., P.P. Singh* and L.S. Bennethum* (2004) Toward rational design of
drug
delivery substrates: II. Mixture theory
for three-scale biocompatible polymers and a computational example. SIAM J. Multiscale Modeling and Simulation 2(2):
335-357.
- Singh*,
P.P., D. Maier, J.H. Cushman and O.H. Campanella (2004) Effect of
viscoelastic
relaxation on fluid transport in foods. Part
II: Imbibition and drying of seeds. J.
Math. Biol. 49: 1-19.
- Singh*,
P.O., D.E. Maier, J.H. Cushman, K. Haghighi and C. Corvalan (2004)
Effect of
viscoelastic relaxation on fluid transport in foods.
Part I: Solution of the general transport
equation. J. Math. Biol. 49: 20-34.
- Cushman,
J.H. and J.E. Curry* (2004) The complex behavior of simple fluids in
nanoscale restricted
geometrics. In Dynamics and Friction
in Sub-micron Scale Confined Systems (ed) Y. Braiman, ACS Symposium
Series
882: 157.
- Singh*,
P.P., J.H. Cushman and D.E. Maier (2003) Multiscale fluid transport
theory for swelling
biopolymers. Chem. Eng.
Sci. 58:
2409-2419.
- Moroni*,
M., J.H. Cushman and A. Cenedese (2003) 3D-PTV two-projection study of
pre-asymptotic dispersion in porous media which are heterogeneous on
the bench
scale. Int. J. Eng. Sci. 41: 337-370.
- Singh*,
P.P., J.H. Cushman, L.S. Bennethum* and D.E.. Maier (2003)
Thermomechanics of
swelling biopolymeric systems. Trans.
Porous Media 53:1-24
- Singh*,
P.P., J.H. Cushman and D. Maier (2003) Three scale thermomechanical
theory for
swelling biopolymeric systems. Chem. Eng.
Sci. 58:
4017-4035
- Su*,
Z., J.E. Curry* and J.H. Cushman (2003) Tunable diffusion of OMCTS and
cyclohexane monolayers in mica slit pores. J.
Chem. Phys. 118:1417-1422.
- Cushman,
J.H., L.S. Bennethum* and B.X. Hu* (2002) A primer on upscaling methods
for
porous media. Adv. Water Resour.
25:1043-1067.
- Bonilla*,
A. and J.H. Cushman (2002) The effect of a-stable
adsorptive waiting
times on microbial transport in slit-pores. Phys.
Rev. E 66(3):1915-1 to 1915-17.
- Hu*,
B.X., H. Huang*, A.E. Hassan* and J.H. Cushman (2002) Stochastic
reactive
transport in porous media: Higher order closures. Adv.
Water Res. 25:513-531.
- Bennethum*,
L.S. and J.H. Cushman (2002) Multicomponent, multiphase thermodynamics
of
swelling porous media with electroquasistatics I: Macroscale field
equations. Trans. Porous Media
47(3):309-336.
- Bennethum*,
L.S. and J.H. Cushman (2002) Multiphase, multicomponent thermodynamics
of
swelling porous media with electroquasistatics II:
Constitutive theory. Trans.
Porous Media 47(3):337-362.
- Moroni*,
M. and J.H.
Cushman (2002) Anomalous dispersion of conservative tracers: Theory and
3-DPTV
experiments. In Stochastic methods in subsurface hydrology,
Ed. R.S. Govindaraju, Amer. Soc. Civ. Eng. pp.365-393.
- Cushman,
J.H., M. Moroni* and T.R. Ginn* (2001) Projection operators and fractal
dispersion. In Scaling Laws in Ice
Mechanics and Ice Dynamics (ed) J. Dempsey and H. Shen, Kluwer
Acad.
427-438.
- Stroud*,
W., J. Curry*, and J.H. Cushman (2001) Capillary condensation and
snapoff in
nanoscale contacts. Langmuir
17(3):688-698.
- Cenedese,
A., J.H. Cushman and M. Moroni* (2001) 3-D PTV experiments in porous
media. Euromech. 411:1-10.
- Moroni*,
M. and J.H.
Cushman (2001) 3D-PTV studies of the transition from pore dispersion to
Fickian
dispersion for homogeneous porous media. Water
Resour. Res. 37(4):873-884.
- Bonilla*,
A. and J.H. Cushman (2001) On perturbative expansions to the stochastic
flow
problem. Trans. Porous Media 42:3-35.
- Cushman,
J.H. and M. Moroni* (2001) Statistical mechanics with 3D-PTV
experiments in the
study of anomalous dispersion: Part I. Theory. Phys.
Fluids 13(1):75-80.
- Moroni*,
M. and J.H.
Cushman (2001) Statistical mechanics with 3D-PTV experiments in the
study of
anomalous dispersion: Part II. Experiment. Phys.
Fluids 13(1):81-91.
- Cushman,
J.H. and T.R. Ginn* (2000) Fractional advective dispersion equation: A
classical mass balance with convolution-Fickian flux.
Water Resour. Res. 36(12)3763-3766.
- Bonilla*,
F.A. and J.H. Cushman (2000) Role of boundary conditions on convergence
and
nonlocality of solutions to stochastic flow problems in bounded domains. Water Resour. Res. 36(4):981-997.
- Murad*,
M.A. and J.H. Cushman (2000) Thermomechanical theories for swelling
porous
media with microstructure. Int. J. Eng.
Sci. 38:517-564.
- Bennethum*,
L.S., M.A. Murad*, and J.H. Cushman (2000) Macroscale thermodynamics
and the
chemical potential for swelling porous media. Trans.
Porous Media 39(2):187-225.
- Kuo*,
R.K.H., N.C. Irwin*, R.A. Greenkorn and J.H. Cushman (2000)
Experimental investigation
of mixing in a periodic heterogeneous porous media: Comparisons with
stochastic
transport theory. Trans. Por. Media
37(2):169-182.
- Irwin*,
N.C., R.A. Greenkorn*, S.A. Altobelli and J.H. Cushman (2000)
Examination of
stochastic dispersion theory by MRI in aperiodic porous media. AICh.E 46(2):2344-2351.
- Hu*, B.X., A.E. Hassan* and J.H. Cushman (1999) Eulerian
solutions of for the stochastic
transport problem for conservative
tracers coupled with solutions for the
flow problem in a infinite
domain. Water Resour. Res. 35(12):3685-3698.
- Irwin*, N.C., R.A. Greenkorn, J.H. Cushman, and S.A. Altobelli
(1999) Magnetic resonance imaging experiments for examination of
solutions to the stochastic transport problem of .
AIChE
45(6):1351-1354.
- Bennethum*,
L.S. and J.H. Cushman (1999) Coupled solvent and heat transport in a
mixture of
swelling porous particles and fluids: Single time-scale problem. Trans. Por. Media 36(2):211-244.
- Hassan*,
A.E., J.H. Cushman, and J.W. Delleur (1998) The significance of
porosity
variability to transport in heterogeneous porous media.
Water Resour. Res. 34(9):2249-2259.
- Curry*,
J.E. and J.H. Cushman (1998) Structure in confined fluids: phase
separation of
binary simple liquid mixtures. Tribology
Letters 4:129-136.
- Hassan*,
A., J.H. Cushman, and J.W. Delleur (1998) A Monte Carlo assessment of
Eulerian
flow and transport perturbation models. Water
Resour. Res. 34(5):1143-1163.
- Mukhopadhyay*,
S. and J.H. Cushman (1998) Monte Carlo simulations of contaminant
transport: I. Long-range correlations
in fracture conductivity. Trans. Porous
Media 31(2):145-181.
- Mukhopadhyay*,
S. and J.H. Cushman (1998) Monte Carlo
simulation of contaminant transport: II.
Morphological disorder and percolation. Trans.
Porous Media 31(2):183-211.
- Mukhopadhyay*,
S. and J.H. (1998) Diffusive transport of organic vapors in
nonaqueous-phase
liquid contaminated soil: A fractal model. Trans.
Porous Media 30(2):125-154.
- Cushman,
J.H. and T.R. Ginn* (1998) Reactive contaminant transport in the
saturated
zone. In Ground Water Hydrology
Handbook, (ed) J.W. Delleur, CRC Press. pp.
15-1 to 15-21.
- Irwin*,
N.C., S.A. Altobelli, J.H. Cushman, and R.A. Greenkorn (1998) NMR
imaging
experiments for the verification of stochastic transport theory. Mag. Res. Imaging 16(516)493-496.
- Deng*,
F.-W. and J.H. Cushman (1998) On higher order corrections to the flow
velocity
covariance tensor: Revisited. Water
Resour. Res. 34(1):103-106.
- Murad*,
M.A. and J.H. Cushman (1997) New directions for modeling consolidation
of
swelling clay soils. Trends in Soil
Science 2:1-35.
- Hu*,
X., F.-W. Deng*, and J.H. Cushman (1997) Nonlocal reactive transport
with
physical and chemical heterogeneity: Linear nonequilibrium sorption
with random
rate coefficients. Subsurface Flow
and Transport: A Stochastic Approach, (ed) G. Dagan and S.P.
Neuman,
Cambridge Press 146-156.
- Cushman, J.H. and B.X. Hu*
(1997) Solutions to the stochastic transport problem of
for
conservative solutes. Stoch. Hydrol. Hyd. 11(4):297-302.
- Curry*,
J.E. and J.H. Cushman (1997) Normal-strain induced change in
lattice-type for
confined cyclohexane films. In Dynamics
in Small Confined Systems III. (ed) J.M. Drake, J. Klafter, D.D.
Awschalom,
R. Kopelman, Materials Research Soc. 115-120.
- Mukhopadhyay*,
S. and J.H. Cushman (1997) Monte Carlo
simulation of radioactive contaminant transport in fractured geologic
media:
disorder and long-range correlations. In
(W. Gray, ed.) Scientific basis for nuclear waste management. MRS publications, Vol. 465, Boston, 885-892.
- Hassan*,
A.E., J.H. Cushman, and J.W. Delleur (1997) Monte
Carlo
studies of flow and transport in fractal conductivity fields:
Comparison with
stochastic perturbation theory. Water
Resour. Res. 33(11):2519-2534.
- Achanta*,
S., M. Okos, J.H. Cushman, and D. Kessler (1997) Moisture transport in
shrinking gels during saturated drying. AIChE
J. 43(8):2112-2122.
- Murad*,
M.A. and J.H. Cushman (1997) A multiscale theory of swelling porous
media: II.
Dual porosity models for consolidation of clays incorporating physical
chemical
effects. Trans. Porous Media
28(1):69-108.
- Bennethum*,
L.S., M. Murad*, and J.H. Cushman (1997) Modified Darcy's law, Fick's
law, and
Terzaghis effective stress principle for swelling clay soils. J. Computers in Geotechniques
20(3/4):245-266.
- Hu*,
X. and J.H. Cushman (1997) Comparison of nonlocal-eulerian to
lagrangian
moments for transport in an anisotropic heterogeneous aquifer with
deterministic linear nonequilibrium sorption. Water
Resour. Res. 33(4):891-896.
- Murad*,
M. and J.H. Cushman (1997) A three scale model for consolidation of
swelling
clay soils. Numerical Modeling in
Geomechanics (ed.) S. Pictruszczak and G.N. Pan de Balkema Press. Rotterdam:117-122.
- Hu*,
X., J.H. Cushman, and F.-W. Deng* (1997) Nonlocal theory of reactive
transport
with physical, chemical and biological heterogeneity.
Adv. Water Resour. Res. 20:293-308.
- Bennethum*,
L.S., M. Murad*, and J.H. Cushman (1996) Clarifying mixture theory and
the
macroscale chemical potential for porous media. Int.
J. Eng.
Sci. 34(4):1611-1621.
- Cushman,
J.H., X. Hu*, and F.-W. Deng* (1996) Comparison of Eulerian to
Lagrangian
expected spatial moments for transport in a heterogeneous porous medium
with
deterministic linear nonequilibrium adsorption. Chem.
Eng.
Com. 148-150:5-21.
- Sternberg*,
S.P.K., J.H. Cushman, and R.A. Greenkorn (1996) Laboratory observation
of
nonlocal dispersion. Transport in Porous
Media 23(2):135-151.
- Murad*,
M.A. and J.H. Cushman (1996) Multiscale flow and deformation in
hydrophilic
swelling porous media. Int. J. Eng.
Sci.
34(3):313-338.
- Sternberg*,
S.P.K., J.H. Cushman, and R.A. Greenkorn (1996) Random walks in
prefractal
porous media. AIChE 42(4):921-926.
- Bennethum*,
L.S. and J.H. Cushman (1996) Multiscale hybrid mixture theory for
swelling
systems. Part I: Balance laws. Int. J. Eng. Sci. 34(2):125-145.
- Bennethum*,
L.S. and J.H. Cushman (1996) Multiscale hybrid mixture theory for
swelling
systems. Part II: Constitutive
theory. Int. J. Eng.
Sci.
34(2):147-169.
- Cushman,
J.H., F.W. Deng* and X. Hu* (1995) A nonlocal theory of reactive
transport with
physical and chemical heterogeneity: Localization
errors. Water
Resour. Res. 31(9):2239-2255.
- Curry*,
J. and J.H. Cushman (1995) Nanophase coexistence and sieving in binary
mixtures
confined between corrugated walls. J.
Chem. Phys. 103:2132-2139.
- Curry*,
J. and J.H. Cushman (1995) Mixtures in micropores with pore-walls
structured on
both the atomic and molecular scale. Dynamics
in Small Confined Systems, (ed) J.M. Drake, J. Klafter, D.D.
Awschalom, R.
Kopelman, Materials Research Soc., Pittsburgh, PA, 366:141-152.
- Hu*,
X., F.W. Deng* and J.H. Cushman (1995) A nonlocal theory of reactive
transport
with physical and chemical heterogeneity: Linear
nonequilibrium sorption with random Kd.
Water Resour. Res. 31(9):2219-2237.
- Murad*,
M., L.S. Bennethum*, J.H. Cushman (1995) A multi-scale theory of
swelling
porous media: I. Application to
one-dimensional consolidation. J.
Transport in Porous Media 19:93-122.
- Deng*,
F.-W. and J.H. Cushman (1995) On higher order corrections to the
flow-velocity
covariance tensor. Water Resour. Res.
31(7):1659-1672.
- Cushman,
J.H. and X. Hu* (1995) A resumé of nonlocal transport theories. Stoch. Hydrol. Hyd. 9:105-116.
- Curry*,
J. and J.H. Cushman (1995) Binary mixtures of simple fluids in
structured
slit-micropores. Mol. Phys.
85(1):173-192.
- Deng*,
F.-W. and J.H. Cushman (1995) Comparison of moments for classical-,
quasi- and
convolution-Fickian dispersion of a conservative tracer.
Water Resour. Res. 31(4):1147-1149.
- Curry*,
J.E., Zhang*, F., J.H. Cushman, M. Schoen*, D.J. Diestler (1994)
Transiently
coexisting nanophases in ultrathin films confined between corrugated
walls. J. Chem. Phys.
101(12):10824-10832.
- Achanta*,
S. and J.H. Cushman (1994) Nonequilibrium swelling and capillary
pressure
relations for colloidal systems. J.
Colloid Interface Sci. 168(1):266-268.
- Schoen*,
M., D.J. Diestler, J.H. Cushman (1994) Stratification-induced
order-disorder
phase transitions in molecularly thin confined films.
J. Chem. Phys. 101(8):6865-6873.
- Achanta*,
S., J.H. Cushman, M.R. Okos (1994) On multiphase, multicomponent
thermomechanics with interfaces. Int. J.
Engineering Science 32(11):1717-1738.
- Diestler,
D.J., M. Schoen*, J.E. Curry*, J.H. Cushman (1994) Thermodynamics of a
fluid
confined to a slit-pore with structured walls. J.
Chem. Phys. 100:9140-9146.
- Hu*,
X., J.H. Cushman (1994) Nonequilibrium statistical mechanical
derivation of a
nonlocal Darcy's law for unsaturated flow. Stoch.
Hydrol. Hyd. 8:109-116.
- Schoen*,
M., D.J. Diestler, J.H. Cushman (1994) A grand isostress-ensemble Monte Carlo
study of thin
films under shear. Berichte der
Bunsen-Gesellschaft
für physikalische chemie 98, 454-457.
- Schoen*,
M., D.J. Diestler, J.H. Cushman (1994) Fluids in Micropores IV. The behavior of molecularly thin confined
films in the Grand Isostress Ensemble. J.
Chem. Phys. 100(10):7707-7717.
- Cushman,
J.H., X. Hu*, T.R. Ginn* (1994) Nonequilibrium statistical mechanics of
preasymptotic dispersion. J. Stat. Phys.
75:859-878.
- Curry*,
J., J.H. Cushman, M. Schoen*, D.J. Diestler (1994) Interfacial tension
in
confined molecularly-thin films. Mol.
Phys. 81(5):1059-1073.
- Schoen*,
M., J.H. Cushman, D.J. Diestler (1994) Anomalous Diffusion in
Molecularly Thin
Films. Mol. Phys. 81(2):475-490.
- Cushman,
J.H. and T.R. Ginn* (1993) Nonlocal dispersion in porous media with
continuously evolving scales of heterogeneity. J.
Transport in Porous Media 13(1):123-138.
- Deng*,
F.-W., J.H. Cushman, J. Delleur (1993) Adaptive estimation of the
log-fluctuating conductivity from tracer data at the Cape Cod site. Water Resour. Res. 29(12):4011-4018.
- Diestler,
D.J., M. Schoen*, J.H. Cushman (1993) On thermodynamic stability of
confined
thin films under shear. Science
262:545-547.
- Lee*,
K.K., J.H. Cushman (1993) Multiscale adaptive estimation of the
conductivity
field using pump test data. Stoch.
Hydrol. Hyd. 7(4):241-254.
- Cushman,
J.H., T.R. Ginn* (1993) On dispersion in fractal porous media. Water Resour. Res. 29(10):3513-3515.
- Deng*,
F.-W., J.H. Cushman, J. Delleur (1993) A fast-fourier-transform
stochastic
analysis of the contaminant transport problem. Water
Resour. Res. 29(9):3241-3247.
- Cushman,
J.H. (1993) Nonlocal diffusion and strain-induced liquifaction of
particulate
media. Mechanics of Materials
16:119-124.
- Han*,
K-K., J.H. Cushman, D.J. Diestler (1993) Grand Canonical Monte Carlo
Studies of Stockmayer Fluids in
Micropores. Molecular Physics
79(3):537-545.
- Cushman,
J.H. (1993) On the Inseparability of the Measurement Process from
Theories of
Transport in Heterogeneous Materials, Concise Encyclopedia
of
Environmental Systems, (ed.) P. Young, pp. 624-630, Pergamon, NY.
- Cushman,
J.H., D.J. Diestler, M. Schoen* (1993) Phase transitions in confined
molecularly-thin films. Dynamics of
Small Confined Systems (ed.) J.M. Drake, J. Klafter, D.D. Awschalom
and R.
Kopelman, Materials Research Soc., Pittsburgh, 81-94.
- Lee*,
K.-K., F.-W. Deng*, J.H. Cushman (1993) Multiscale adaptive estimation
of the
conductivity field using head and tracer data. Stoch.
Hydrol. Hyd. 7(1):66-82.
- Schoen*,
M., D.J. Diestler, J.H. Cushman (1993) Isostress-isostrain ensemble
Monte Carlo
simulation of second-order phase transitions in a confined monolayer
fluid. Molecular Physics 78:1097-1115.
- Schoen*,
M., D.J. Diestler, J.H. Cushman (1993) Shear melting of confined solid
monolayer films. Physics Review B
47(10):5603-5613.
- Cushman,
J.H., D.J. Diestler, M. Schoen* (1992) Numerical Statistical Mechanical
Studies
of the Behavior of Simple Fluids in Structured Slit Micropores. In Modeling and Analysis of Diffusive and
Advective Processes in Geoscience, (ed.) W. Fitzgibbon and M.
Wheeler, Soc.
Ind. Appl. Math. 71-99.
- Deng*,
F-W., J.H. Cushman (1992) On Spectral Measure and Monte
Carlo Approaches to Flow in Heterogeneous Media. Water Resour. Res. 28(5):1447-1450.
- Han*,
K.-K., J.H. Cushman, D.J. Diestler (1992) Monte Carlo Calculation of
the Chemical
Potential for a Stockmayer Fluid, J. Chem. Phys. 96(10):7867-7868.
- Cushman,
J.H. (1992) Hierarchical Problems: Some
Conceptual Difficulties in the Development of Transport Equations, in Heat
and Mass Transfer in Porous Media, (ed) M. Quintard and M.
Todorovic,
Elsevier, 123-136.
- Ginn*,
T.R. and J.H. Cushman (1992) A Continuous-Time Inverse Operator for
Groundwater
and Contaminant Transport Modeling: Model
Identifiability, Water Resour. Res. 28(2):539-550.
- Rhykerd*,
C.L., Jr., J.H. Cushman, P.F. Low (1991) Application of
Multiple-Angle-of-Incidence Ellipsometry to the Study of Thin Films
Adsorbed on
Surfaces, Langmuir 7:2219-2229.
- Valleau,
J.P., D.J. Diestler, J.H. Cushman, M. Schoen*, A.W. Hertzner and M.E.
Riley
(1991) On Adsorption and Diffusion at Rough Surfaces:
A Comparison of Statistical Mechanics,
Molecular Dynamics and Kinetic Theory, J. Chem. Physics 95(8):6194-6195.
- Diestler,
D.J., M. Schoen*, A.W. Hertzner and J.H. Cushman (1991) Fluids in
Micropores
III: Self-diffusion in a Slit-Pore with
hard Rough Walls. J. Chem. Phys.
95(7):5432-5436.
- Cushman,
J.H., D.J. Diestler and M. Schoen* (1991) Nonlocal Transport Theories
in Media
with Microstructure, ASME, Applied Mechanics Division 117:17-22.
- Wheatcraft,
S.W., J.H. Cushman (1991) Hierarchical Approaches to Transport in
Heterogeneous
Porous Media. Revs. of Geophysics. Supplement - U.S.
National Report to International Union
of
Geodesy and Geophysics 1987-1990, pp. 263-269.
- Cushman,
J.H. (1991) On Diffusion in Fractal Porous Media. Water
Resour. Res. 27(4):643-644.
- Rhykerd*,
C.L., Jr., J.H. Cushman, P.F. Low (1990) Relative Vapor Pressure Via
FTIR, J.
Coll. Int. Sci. 139:593-594.
- Schoen*,
M., D.J. Diestler and J.H. Cushman (1990) Monte
Carlo
Methods in Classical Statistical Mechanics. In
Scientific Computing on Supercomputers II, Ed. J.
T. Pevrees,
North Holland
(pp. 195-228).
- Cushman,
J.H. (1990) Molecular Scale Lubrication, Nature 347(6290):227-228.
- K.-K.
Han*, J.H. Cushman and D.J. Diestler (1990) A New Computational
Approach to the
Chemical Potential, J. Chem. Phys. 93(7):5167-5171.
- Cushman,
J.H. (1990) An Introduction to Fluids in Hierarchical Porous Media. In Dynamics of Fluids in Hierarchical
Porous Media, ed. J.H. Cushman, Academic, NY, pp. 1-6.
- Ginn*,
T.R. and J.H. Cushman (1990) Stochastic Inverse Problems:
A Critical Review, Stoch. Hydrol. &
Hydraul. 4:1-26.
- Cushman,
J.H. (1990) Generalized Hydrodynamics of Heterogeneous Media: Relationships Between the Memory Function and
the Scale of Observation, in Dynamics of Fluids in Hierarchical
Porous Media,
ed. J.H. Cushman, Academic, NY, pp. 485-499.
- Zhang*,
Z.Z., P.F. Low, J.H. Cushman, and C.B. Roth (1990) Adsorption and Heats
of
Adsorption of Organic Compounds on Montmorillonite from Aqueous
Solutions, Soil
Sci. Soc. Am. J. 54:59-66.
- Ginn*,
T.R., J.H. Cushman, and M.H. Houck (1990) A Continuous-Time Inverse
Operator
for Groundwater and Contaminant Transport Modeling:
I, Deterministic Case, Water Resour. Res.
26(2):241-252.
- Chen*,
J.S., J.H. Cushman, and P.F. Low (1990) The Rheological Behavior of
Na-Montmorillonite Suspensions at Low Electrolyte Concentration, Clays
and Clay
Minerals 38(1):57-62.
- Schoen*,
M., C.L. Rhykerd*, Jr., D.J. Diestler, and J.H. Cushman (1989) Shear
Forces in
Molecularly Thin Films, Science 245:1223-1225.
- Haselow*,
J.S., J.H. Cushman, and R.A. Greenkorn (1989) A Discussion of the
Concepts for
Miscible, Multifluid Flow in Porous Media. Rec.
Adv. Hydrol., (ed.) J. E. Moore, A. A.
Zaporozec, S. C.
Csullany, T. C. Vaney, pp. 485-517, Amer. Inst. Hyd.
- Schoen*,
M., C.L. Rhykerd*, Jr., J.H. Cushman, and D.J. Diestler (1989)
Slit-Pore
Sorption Isotherms by the Grand Canonical Monte
Carlo
Method: Manifestations of Hysteresis,
Molecular Physics 66(6):1171-1182.
- Cushman,
J.H. (1988) Stochastic Equations and Hierarchy in Subsurface Transport: Assumptions and Methodology. In Validation
of Flow and Transport Models for the Unsaturated Zone, eds. P.J.
Wierenga
and D. Bachelet, pp. 50-63.
- Schoen*,
M., J.H. Cushman, D.J. Diestler, and C.L. Rhykerd*, Jr. (1988) Fluids
in
Micropores, II. Self-Diffusion of a
Simple Classical Fluid in a Slit-Pore, J. Chem. Phys. 88(2):1394-1406.
- Cushman,
J.H. (1987) Development of Stochastic Partial Differential Equations
for
Subsurface Hydrology. Stochastic
Hydrology and Hydraulics 1:241-262.
- Rhykerd*,
Jr., C.L., J.H. Cushman, P.F. Low (1987) Multiple Angle of Incidence
Ellipsometry: A Sensitive Method for
Measuring Thickness and Refractive Index of Thin Water Films, Flow
and
Transport Through Unsaturated Fractured Rock, eds. D.D. Evans and
T.J.
Nicholson, Geophysical Monograph 42, AGU, 73-81.
- Chen*,
S.Z., P.F. Low, J.H. Cushman, and C.B. Roth (1987) Organic Compound
Effect on
Swelling and Flocculation of Upton-Montmorillonite, Soil Sci. Soc. Am.
J.
51(6):1444-1450.
- Rhykerd*,
Jr., C.L., M. Schoen*, D.J. Diestler, and J.H. Cushman (1987), Epitaxy
in
Simple Classical Fluids in Micropores and Near Solid Surfaces, Nature
330(3):461-463.
- Schoen*,
M., D.J. Diestler, and J.H. Cushman (1987) Fluids in Micropores, I. Structure of a Simple Classical Fluid in a
Slit-Pore, J. Chem. Phys., 87:5464-5476.
- He*,
H., J.H. Cushman, and D.J. Diestler (1987) Molecular Dynamics of Water
Near an
Uncharged Silicate Surface: Anisotropic
Diffusion, Flow and Transport Through Unsaturated Fractured Rock,
eds.
D.D. Evans and T.J. Nicholson, Geophysical Monograph 42, AGU, 61-71.
- Cushman,
J.H. (1987) Stochastic Filtering of Multiphase Transport Phenomena. Transport in Porous Media, 2(5):425-453.
- Cushman,
J.H. (1987) More on Stochastic Models. Water
Resources Research, 24(4):750-752.
- Cushman,
J.H. (1986) Multiphase Transport in the Space of Stochastic Tempered
Distributions. I.M.A.J. Applied Math,
36:159-175.
- Cushman,
J.H. and F.J. Wobber (1986) Keeping Supercomputers Under Control. Nature 321:21.
- Cushman,
J.H. (1986) On Measurement, Scale and Scaling. Water
Resources Research 20(2):129-134.
- Cushman,
J.H. (1985) Multiphase Transport Based on Compact Distributions. Acta Applicandae Mathematicae 3:239-254.
- Cushman,
J.H. (1984) Fourier Interpretations of Multiphase Averaging Theory. Advances in Water Resources 7:126-131.
- Cushman,
J.H. (1984) On Unifying the Concepts of Scale, Instrumentation, and
Stochastics
in the Development of Multiphase Transport Theory.
Water Resour. Res. 20(11):1668-1676.
- Mulla*,
D.J., P.F. Low, J.H. Cushman, and D.J. Diestler (1984) A Molecular
Dynamics
Study of Water Near Silicate Surfaces. J.
Colloid Interface Sci. 100(2):576-580.
- Cushman,
J.H. (1984) Nutrient Transport Inside and Outside the Root Rhizosphere: Generalized Model. Soil
Sci. 138(2):164-171.
- Mulla*,
D.J., J.H. Cushman, and P.F. Low (1984) Molecular Dynamics and
Statistical
Mechanics of Water Near an Uncharged Silicate Surface.
Water Resour. Res. 20:619-628.
- Cushman,
J.H. (1984) Numerical Study of Some Age-Dependent Parameters in Root
Nutrient
Uptake. Plant and Soil 79:123-141.
- Cushman,
J.H. (1983) On Three-Dimensional Stochastic Analysis of Macrodispersion
in
Aquifers. Water Resour. Res.
19(6):1641-1642.
- Huang*,
C., J.M. Bradford, and J.H. Cushman (1983) A Numerical Study of
Raindrop Impact
Phenomena: The Elastic Deformation
Case. Soil Sci. Soc. Amer. J.
47:855-861.
- Cushman,
J.H. (1983) Volume Averaging, Probabilistic Averaging and Ergodicity. Advances in Water Resources 6:182-184.
- Cushman,
J.H. (1983) Multiphase Transport Equations: I
- General Equation for Local Space-Time Homogeneity.
J. Transport Theory and Statistical Physics
12(1):35-71.
- Cushman,
J.H. (1983) Nonstandard Finite Elements and Immiscible Displacement. Soil Science 135:135-142.
- Cushman,
J.H. (1983) Incorporation of the Rhizosphere into Plant Root Models. In Chemical Mobility and Reactivity in
Soil Systems. ASA special
publication, pp. 165-182.
- Cushman,
J.H. (1982) Nutrient Transport Inside and Outside the Root Rhizosphere: Theory. Soil
Science Soc. Amer. J. 46:704-709.
- Cushman,
J.H. (1982) Proofs of the Volume Averaging Theorems for Multiphase Flow. Advances in Water Resources 5:248-253.
- Cushman,
J.H. and C. Huang* (1982) General Difference Formulas for Linear and
Quasilinear
Hyperbolic Equations. Int. J. Num.
Method. Fluids 2:387-405.
- Huang*,
C., J.M. Bradford, and J.H. Cushman (1982) A Numerical Study of
Raindrop Impact
Phenomena: The Rigid Case.
Soil Sci. Soc. Amer. J. 46(1):14-19.
- Cushman,
J.H. and C. Huang* (1982) kth-order
Closed Form Difference Equations for
One-Dimensional, First and Second Order Linear Hyperbolic Equations,
with
Applications to Quasilinear Systems. In Computational
Methods and Experimental Methods, pp. 405-417, Springer Verlag.
- Cushman,
J.H., (1981) Continuous Families of Lax-Wendroff Schemes.
Int. J. Num. Meth. Eng. 17:
975-989.
- Huang*,
C. and J.H. Cushman (1981) High Order Accurate Explicit, Difference
Formulas
for the Classical Wave Equation. J.
Comp. Phy. 40: 376-395.
- Barber,
S. and J.H. Cushman (1981) Nitrogen Uptake Model for Agronomic Crops. Ch. 14 in Modeling
Nutrient
Transport and Transformations in Land Treatment of Wastewater,
Wiley.
- Cushman,
J.H. (1980) Comparison of Convective and Diffusive Absorption of
Nutrients by
Growing Roots. Plant and Soil
57:407-421.
- Cushman,
J.H. (1980) Analytical Study of the Effect of Ion Depletion
(Replenishment)
Caused by Microbial Activity Near a Root. Soil
Sci. 129(2):69-87.
- Cushman,
J.H. (1980) Completion of the List of Analytical Solutions for Nutrient
Transport to Roots: Part I - Exact
Linear Models. Water Resour. Res.
16(5):891-896.
- Cushman,
J.H. (1979) Reply to Comment. Water
Resour. Res. 15(3):721-722.
- Cushman,
J.H. (1979) Difference Schemes or Element Schemes?
Int. J. Num. Meth. Eng. 14:1643-1651.
- Cushman,
J.H. (1979) An Analytical Solution to Solute Transport Near Root
Surfaces for
Low Initial Concentration: Part I. Equations Development. Soil
Sci. Soc. Amer. J. 43(6):1087-1090.
- Cushman,
J.H. (1979) An Analytical Solution to Solute Transport Near Root
Surfaces for
Low Initial Concentration: Part II. Applications. Soil
Sci. Soc. Amer. J. 43(6):1090-1095.
- Cushman,
J.H. (1979) The Effect of a Constant Efflux on Solute Movement to a
Root. Plant and Soil 53:303-317.
- Cushman,
J.H., D. Kirkham, and R.F. Keller (1979) A Galerkin in Time, Linearized
Finite
Element Model of Two-Dimensional Unsaturated-Saturated Porous Media
Drainage. Soil Sci. Soc. Amer. J.
43(4):638-641.
- Cushman,
J.H. and D. Kirkham (1978) Solute Travel Times to Wells in Single or
Multiple
Layered Aquifers. J. Hydrol. 37:169-184.
- Cushman,
J.H. and D. Kirkham (1978) A Two-Dimensional View of One Dimensional
Unsaturated-Saturated Flow. Water
Resour. Res. 14(2):319-329.
Invited Presentations
- Renormalizing
Operator-Stable Lagrangian Velocities for Microbial Dynamics
Simulations, AGU
Meeting of the Americas,
Joint Assembly, Fort
Lauderdale, FL
(2008).
- Renormalizing
the Chaotic Dynamics of Motile Particles in Fractal Porous Media, International
Conference on Statistical Physics, Kolympari, Crete, Greece
(2008)
- Upscaling
α-stable Levy Motions in Turbulence and Porous Media, SIAM
Conference on
Applications of Dynamical Systems, Snowbird Utah (2007)
- The
FSLE in Geophysics, Union of Mexican Geophysicists, Puerto Vallarta,
MX. (2007)
- A
Universal Field Equation for Dispersive Processes in Geophysics, SAMSI
Meeting on Heterogeneous Media, Raleigh, NC
(2007)
- Novel
Measures of Dispersive Processes, AGU, San Francisco, CA
(2007).
- A
Universal Nonlocal Field Equation for Dispersion, International
Meeting on Stochastic Transport and Emergent Scaling on the
Earth’s Surface,
Lake
Tahoe, NV (2007)
- Universality
in Theories of Dispersion, 7th North American Workshop
on the
Applications of the Physics of Porous Media, Puerto Vallarta, MX (2007)
- Dispersion
of Microbes in Porous Media, SIAM Conference on
Mathematical and
Computational Issues in Geosciences, Santa Fe NM
(2007)
- Anomalous
Dispersion: Angstroms to Kilometers, SIAM
Conference on Mathematical and Computational Issues in Geosciences,
Santa Fe NM
(2007)
- Dispersion
Revisited: Generalized Hydrodynamics, Renormalization, Fractional
Equations and
the CTRW, Center for Stochastic and Chaotic Processes, Case Western
Reserve University,
Cleveland,
Oh
(2007)
- Three-Phase
Theory for Swelling Drug Delivery Systems, IUTAM Conference on
Swelling and
Shrinking Porous Media, Petropolis, Brasil (2007)
- Levy
Motions and Applications to Microbial Dynamics in Fractal Porous Media,
7th
World Congress on Computational Mechanics, LA, Ca (2006)
- Understanding
and Modeling Anomalous Diffusion and Dispersion in Porous Media,
Confined
Nano-films and Turbulence, Nacional de Matemática Aplicada e
Computacional XXIX, CNMAC, Campinas
Brazil (2006)
- Mixture
Theory for Multi-scale Swelling Polymers, Nacional de
Matemática Aplicada e
Computacional XXIX, CNMAC, Campinas Brazil
(2006)
- Fractional
Equations, Levy Motions and Generalized Hydrodynamics, International
Meeting
on Fractional Calculus, Dunedin,
NZ (2006)
- Renormalizing
Chaotic Dynamics in Fractal Porous Media: Application to Microbial
Transport, 6th
North American Workshop on the Applications of the Physics of Porous
Media, Puerto Vallarta,
Mx (2005)
- Fractional
Dispersion and Renormalized Levy Motions, Dept. Mathematics, UNC
(2005)
- Dispersion
Revisited: Generalized Hydrodynamics, Renormalization, Fractional
Equations and
the CTRW, AGU Fall Meeting SF (2005)
- Upscaling
Levy Motions and Anomalous Dispersion, Western
Pacific Geophysics Meeting, Honolulu
(2004)
- Polar
Continuum Models of Heavy Organics, Int.
Conf. Heavy Organic Depositions, Cabo San Lucas, Mx (2004)
- Chaotic
Dynamics of Motile Microbes and Upscaling, SIAM
Annual Meeting, Portland,
Or (2004)
- Swelling
Biopolymers and Other Viscoelastic Media: Theory and Numerics, SIAM Meeting on Geoscience,
Austin, TX
(2003).
- Genetic
Evolution in Microbial Communities in Porous Media: Multiscale Physics
and
Upscaling, ARO Symposium on Science
and Complex Adaptive Systems , Durham NC
(2003)
- On
the Relation Between Anomalous Dispersion, the Finite-Size Lyapunov
Exponent
and the Intermediate Scattering Function, SIAM Meeting of Geoscience,
Austin, TX (2003).
- Anomalous
Dispersion in Porous Media: Theory and 3D-PTV Experiments, IUTAM,
Netherlands
(2003).
- 3D-PTV
Experiments on Preasymptotic Dispersion, American Society of Civil
Engineering, San Francisco,
CA (2003).
- Anomalous
Dispersion, Finite Size Lyapunov Exponents, the Full Intermediate
Scattering
Function and 3D-PTV, American Geophysical Union Fall Meeting,
San
Francisco, CA (2002).
- Saturated–Unsaturated
Flow in Swelling Systems, American Geophysical Union Fall Meeting,
San Francisco, CA
(2002).
- 3D-PTV
Two-Projection Study of Pre-Asymptotic Dispersion in Porous Media Which
are
Heterogeneous on the Bench Scale, Eringen Symposium, 39th
Annual
Meeting Society Engineering Science, University Park, PA
(2002).
- Size
Affects on Nanoscale Contacts, Capillary Adsorption and Snapoff
Animations. American Chemical Society,
Orlando, FL
(2002).
- The
Effect of Load and Shear on Confined Nanofilms. SIAM
50th
Annual Meeting, Philadelphia,
PA (2002).
- Statistical
Mechanics of Anolmalous Dispersion with 3D-PTV Experiments in Porous
Media. 31st Statistical
Physics Meeting, Taxco,
Mexico
(2002).
- The
Effect of Symmetry Breaking Structures on Fluid Nanofilms: Application
to
Nanorheology, Nanochromatography and Nanotribology.
Harvard
University
(2001).
- An
Overview of Porous Media Science, Harvard University
(2001).
- Statistical
Mechanics, a-Stable Processes and
Continuous-Time
Random Walks. 2nd North
American Workshop on Application of Physics to Porous Media, Puerto Velarta, Mexico (2001).
- Scale
Invariant Theories of Dispersion with Experiments.
Fluid Flow and Transport in Porous Media:
Mathematical and Numerical Treatment, IMS, AMS,
SIAM, South Hadley, MA
(2001).
- Mixture
Theories of Multiscale Viscoelastic Porous Media. SIAM
Geosciences Conference, SIAM,
Boulder, CO (2001).
- Theories
of Anomalous Dispersion with Experimental Results.
Env. Eng.
Dept., Johns
Hopkins University
(2001).
- Statistical
Mechanics of Preasymptotic Dispersion, Physics Dept., Univ. of Rome,
La Sapienza (2001).
- Anomalous
Dispersion in the Environment, Env. Engr., University of South Florida
(2001).
- 3D-PTV
Experiments for Preasymptotic Dispersion, US-Mexico-Canada Meeting
on Physics
in Porous Media, Puerta
Velarta, Mexico
(2001).
- A
Scale-Invariant Theory of Dispersion. Univ.
Paris, France (2000).
- A
Scale-Invariant Theory of Dispersion. IFP,
Rueil, France (2000).
- A
Scale-Invariant Dispersion Theory with Examples on the Scale of
Nanometers and
Meters. GSA, Reno, NV
(2000).
- Statistical
Mechanical Theories of Anamolous Transport in Soils.
Kirkham
Conference, Iowa
State University (2000).
- Anomalous
Dispersion. IUTAM Scaling Laws in Ice
Dynamics Symposium, Fairbanks
(2000).
- Statistical
Mechanical Theories and 3-DPTV Experiments on Anomalous Dispersion in
Porous
Media. European Geophysics Society
Millennium Meeting, Nice France (2000).
- Anamolous
Transport of Conservative Chemicals: Theory and 3-DPTV Experiments. Multiscale Modeling and Simulation of Flow
and Transport in Porous Media, Los Alamos
(1999).
- Capillary Adsorption and
Snapoff. Mexican-Canada Meeting on
Applications of Physics to Porous Media, Puerto Vallarta, MX (1999).
- Capillary
Snapoff. SIAM
Conference on Geosciences, San
Antonio, TX
(1999).
- The
Physics of Fluids in Microporous Media. University of Rome
I, Italy
(1998).
- Modern
Stochastic Approaches to Subsurface Flow and Transport.
Lab. Env. Fluid Mechanics, University
of Rome
I, Rome, Italy (1998).
- Coupled
Heat and Moisture Transport in Unsaturated Soils: Mixture Theory. SSSA, Baltimore, MD
(1998).
- Fluids
in Colloids. Workshop on Nonlinear
Dynamics, Los Alamos,
NM (1998).
- The Physics of Fluids in
Hierarchical Porous Media: Angstroms to Miles – A Survey.
Department of Civil Engineering, University of Michigan
(1997).
- Fluids
in Micropores. Canada-Mexico Workshop
on Application of Physics to Porous Media, Alberta, Canada (1997).
- The
Physics of Fluids in Porous Media: Angstroms to Miles.
SIAM
Meeting on Geosciences, Albuquerque,
NM (1997).
- Nonlocal
Dispersive Transport: Theory vs.
Experiment. 27th ASCE/IHAR Congress,
San Francisco (1997).
- Stochastic
Perturbation and Reactive Chemical Transport. Brasilian Soc. Appl.
Comp. Math., Goiania, Brazil
(1996).
- Stochastic
PDE's in Hydrology. Stochastic
Methods in Applied Sciences, Los Alamos
(1996).
- Traction
on Deformable Porous Media. Second
North American Workshop on Mobility Modeling, USACE-WES (1996).
- Stochastic
Perturbation Theories of Transport: Monte Carlo Verification. Army
High Performance Computing Research
Center, Univ. of Minnesota
(1996).
- Nonlocal
Theories of Reactive Chemical Transport in Porous Media.
Int. Meeting on Math Models for Porous
Media, Oberwolfach,
Germany
(1996).
- Multiscale
Transport. Instituto Politecnico,
Univ. de Estado
do Rio de Janeiro (1995).
- Physics
of Fluids in Porous Media: Angstroms to
Miles. Lab. National Comp.
Sci.,
Rio de Janeiro (1995).
- Nonlocal
Eulerian Transport with Physical, Chemical and Biological Heterogeneity. Geol. Soc. Am., New Orleans (1995).
- Multiscale
Flow and Deformation in Swelling Porous Media. Find
Particles Society, Chicago
(1995).
- Comparison
of Eulerian Nonlocal Models to Lagrangian Models of Chemical Transport
in
Heterogeneous Media. Sur la
Modelisation Mathematique des Enconlements en Milreu porous, St. Etiene, France
(1995)
- Nonlocal
Dispersion: Theory and
Confirmation. UNESCO/IAHS, Paris, France
(1995).
- Classical-,
quasi-, convolution-fickian and more general dispersive fluxes: regions
of
validity. SIAM
Conference on Geophysics, San
Antonio, TX
(1995).
- Theories
of Dispersion: A Critical Discussion. AGU,
San Francisco (1994).
- Supercomputing
in Soil Physics. SSSA, Seattle (1994).
- A
Hierarchy of Nonlocal Dispersion Theories. Brasilian
Soc. Appl. Comp. Math,
Victoria, Brazil
(1994).
- Nonlocal
Dispersion Revisited. Lab. National
Comp. Sci., Rio de Janeiro,
Brazil
(1994).
- Scales
of Measurement. Division of Water
Resources, CSIRO, Perth,
Australia
(1994).
- Overview
of Mesoscale Phenomena. Gordon
Conference on Flow in Porous Media, Proctor Academy
(1994).
- Nanotribology
and the formation and destruction of nano capillaries.
Materials Research Soc., Boston (1994).
- Chemical
Dispersion in Porous Media: A Modern Perspective. Dept.
of Environmental Mechanics,
CSIRO, Canberra, Australia (1994).
- Dispersion
Revisited. Dept. of Environmental
Engineering, University
of Western Australia
(1994).
- Quasistatic
computational molecular tribology. 8th
International Conference of Surface and Colloid Chemistry, Adelaid, Australia
(1994).
- Scaling
in hierarchical systems. Chapman
Conference on Building and Testing Atomistic-to-Basin-Scale Models,
Lincoln, NH
(1994).
- Stochastic
Adaptive Estimation Techniques. Environmental
Sciences Program, BPNL, Richland
(1993).
- Adsorption
and Phase Transitions in Micropores. Applications
of Computational Chemistry to Soils, SSSA Cincinnati (1993).
- Clay
Swelling: A Thermomechanical Derivation of Low's Empirical Equation. Special Session in Honor of P.F. Low's
70th Birthday, ASA Cincinnati
(1993).
- Nonlocal
Constitutive Models for Chemical Transport in Porous Media. Joint ASME-ASCE-SES meeting, Charlottesville, VA
(1993).
- Information
Propagation Over Scales. NATO/ASI on
Transport in Porous Media, Grenoble,
France
(1993). (Canceled because of travel
arrangement problems.)
- A
Kalman-Like Estimator for the Conductivity Field Using Tracer Data. Int. Conference on Stochastic and
Statistical Methods in Hydrology and Environmental Engineering, University of Waterloo, Canada (1993).
- A
FFT/Stochastic Theory of Contaminant Transport. Int.
Conference on Stochastic and Statistical Methods in
Hydrology
and Environmental Engineering, University of Waterloo, Canada
(1993).
- Nonlocal
Dispersion Theories Based on Rigorous Theories of Statistical
Mechanical
Correlation Functions. Dept. of
Environmental Engineering, University of North
Carolina
(1993).
- Hierarchical
Problems: From the Molecular to the Field Scale. Workshop
on Environmental Chemistry: Soils and
Groundwater, Battelle Conference Center,
Seattle, WA
(1992).
- Nonlocal
Diffusion and Fractional Flow. Dept.
of Hydrology, Univ. of Arizona, Tucson
(1992).
- Fractal
Brown Diffusion in Porous Media. 23rd
Annual Meeting of the Fine Particle Society, Las Vegas, NV
(1992).
- On
the Statistical Mechanics of Granular Flows. Nonlinear
Dynamics Program, Dept. of Physics, Clarkson
University, Potsdam, NY
(1992).
- Surface
Forces in Molecularly-Thin Films. Dept.
of Civil Engineering, Duke
University
(1992).
- Nonlocal
Diffusion in Porous
Media. Dept. Chem. Eng., Worcester
Polytech., Worcester,
MA (1992).
- Information
Propagation Over Scales in Porous Media. Environmental
Studies Workshop, Institute for Math and
It's
Application, Minneapolis,
MN (1992).
- Non-local
Stochastic Transport Theories. Oberwolfach
Conference on Porous Media, (Cancelled because of travel conflicts)
Oberwolfach, Germany (1992).
- Fractional
Brownian Diffusion in Molecularly Thin Films. Molecular
Sciences
Research Center,
BPNL (1991).
- Multiscale
Transport Processes in Porous Media. IMACS,
Dublin, Ireland (1991).
- On
Diffusion and Dispersion in Fractal Porous Media. Dept.
of Civil Engineering, University
of California
at Berkeley
(1991).
- Transport
with Evolving Heterogeneities. Dept.
of Mathematics, Clemson
University
(1991).
- Fluids
in Micropores. Dept. of Civil
Engineering, Duke
University
(1991).
- Fluids
in Microfractures. Flow and Transport
in Unsaturated Fractured Rock -- Related to High-Level Radioactive
Waste
Disposal, V, Tucson,
AZ (1991).
- The
Behavior of Fluids in Microporous Media. American
Chemical Society, Atlanta
(1991).
- Hierarchical
Transport in Porous Media. NSF-Micromechanics
of Granular Materials, Clarkson
University, Potsdam, NY
(1991).
- Nonlocal
Continuum Theories of Porous Media Transport. American
Society of Mechanical Engineers, Columbus, OH
(1991).
- Hierarchical
Problems: Some Conceptual Difficulties
in the Development of Transport Equations. International
Meeting on Heat and Mass Transport in
Porous Media, Dubrovnik,
Yugoslavia
(1991).
- Transport
in Fractals. Center for Energy and
the Environment, Rice University, Houston, TX
(1990).
- Diffusion
in Fractals. Desert Research
Institute, University of Nevada Reno
and Las Vegas
(1990).
- Diffusion
in Fractal Porous Media. Western
Pacific Geophysics Meeting, Kanazawa, Japan
(1990).
- Nonlocal
Transport Theories. International
Meeting on Transport and Mass Exhange Processes in Sand and Gravel
Aquifers: Field and Model Studies, Ottawa, Canada
(1990).
- On
Dispersion in Porous Media. Departments
of Chemical and Civil Engineering, University
of California, Davis (1990).
- On
the Behavior of Fluids Near Surfaces. Institute
for Theoretical Dynamics, University
of California, Davis (1990).
- Fluids
in Small Pores. Environmental and
Molecular Sciences Research Center,
Battelle Pacific Northwest Lab, Richland, WA
(1990.
- Molecular
Dynamics and Monte Carlo Studies of
Fluids in
Structured Micropores. Supercomputer
Institute, University
of Minnesota
(1989).
- Subsurface
Stochastic Models. Department of
Civil Engineering, Universitat
Stuttgart, West Germany
(1989).
- Fluids
in Microporous Soils. Department of
Soils, Universitat
Hohenheim, West Germany
(1989).
- Application
of Statistical Mechanics to Study the Behavior of Fluids in Clays. Agronomic Institute, Versailles, France
(1989).
- Stochastic
Processes in Hydrology. International
Workshop on Mathematical Modeling for Flow and Transport in Porous Media,
Irsee, Bavaria,
Federal Republic
of Germany
(1989).
- Modern
Approaches to Porous Media Transport Theory: Molecular to Field Scale. Molecular Science
Research Center,
PNL, Richland, WA (1988).
- Recent
Computational Results on Fluids in Micropores. Department
of Chemical Engineering, Cornell
University, Ithaca, NY
(1988).
- Theories
of Stochastic Multiphase Processes. Mathematical
Sciences Institute, Cornell
University, Ithaca, NY,
(1988).
- Molecular-Scale
Physics of Fluids Near Surfaces with Biotechnological and Soils
Applications. USDA-ARS, Washington,
DC (1988).
- Stochastic
PDE's for Transport in Heterogeneous Media. Applied
Mathematics Research Center,
Cornell University, Ithaca, NY
(1988).
- Structure
and Dynamical Properties of Simple Fluids in Microporous Media. Illinois
State Geological Survey,
Champaign, IL
(1987).
- Applications
of Stochastic Functional Analysis to Multiphase Transport.
Society of Engineering Science, Salt Lake City, Utah
(1987).
- Organic
Chemical Interaction with Clays. Department
of Civil Engineering, University
of Illinois, Urbana, IL
(1986).
- Organic
and Water Interaction with Clays. Am.
Inst. Ch. Eng., Chicago (1985).
- Supercomputers
in the Study of Clay-Organic-Water Interactions. WRRC-DOE
Seminar on Supercomputers in
Hydrology: Future Directions, Purdue University
(1985).
- Stochastic
Filtering of Multiphase Transport Equations. International
Union of
Theoretical
and Applied Mechanics Symposium on Multiphase Flow Through
Heterogeneous Porous
Materials. University of Waikata, New Zealand (1985).
- Unifying
Theories in Multiphase Transport. Department
of Civil Engineering, Princeton
University
(1984).
- Stochastic
Problems in Porous Media Transport. Water
Resources Program, Department of Civil Engineering, Princeton University,
sponsored by DOE (1984).
- Quantum
and Statistical Mechanics for Clay Swelling; Preliminaries. NATO Advanced Study Institute on Mechanics
of Fluids in Porous Media, University of Delaware
(1982).
- Toward
a Theoretical Explanation of Swelling. Department
of Hydrology, University
of Arizona (1982).
- Nutrient
Movement and Absorption by Plants. ASA
Symposium on Ion Transport (1981).
- On
the Proofs of the Volume Averaging Theorems for Multiphase Flow. Department of Environmental Engineering,
Johns
Hopkins University
(1981).
- Continuous
Families of Finite Difference Schemes. Water
Resources Program, Department of Civil Engineering, Princeton University
(1980).
- Analytical
Modeling of Nutrient Movement to Roots. Department
of Agronomy, Iowa
State University
(1980).
Conferences or Sessions Organized and
Chaired
- North
American Workshop on Applications of Physics to Porous Media, Puerto Vallarta,
Mx (2007)
- North
American Workshop on Applications of the Physics of Porous Media,
Puerto Vallarta, Mx (2005)
- Joint Canada, USA, Mexico
Meeting on Applications of Physics to Porous Media, Puerto Vallarta,
Mexico, 2003.
- Workshop on Modern
Mathematical/Physical Tools that May Lead to Improved models in
Subsurface Hydrology, NSF/Purdue University, 2003.
- European Geophysical Meeting
Special Session on Nondestructive Methods for Porous Media, Nice,
France, 2003.
- Joint Canada, USA, Mexico
Meeting on Applications of Physics to Porous Media, Puerto Vallarta,
Mexico, 2001.
- Joint Canada, USA, Mexico
Meeting on Applications of Physics to Porous Media, Puerto Vallarta,
Mexico, 1999.
- Theoretical, Computational,
and Experimental Modeling of Multiscale Phenomena in Porous Media,
SIAM, Albuquerque, 1997.
- Multiscale Processes in Porous
Media, Soc. Ind. Appl. Math, San Antonio, 1995.
- Multiscale-Phenomena: Session
on
Mesoscale Processes, Gordon Conference, Procter Academy, 1994.
- Hierarchical Problems,
Mathematical and Computational Issues in Geosciences, Houston, Soc.
Ind. Appl. Math, 1993.
- Foundational Theories for
Multiphase Mixtures, Soc. Eng. Sci., La Jolla, CA, 1992.
- Multiscale Transport in Porous
Media, IMACS World Congress on Computational and Applied Math, Dublin,
1991.
- Western Pacific Geophysical
Meeting - Hydrology Section, Kanazawa, Japan, 1990.
- The Structure and Dynamics of
Fluids in Microporous Media, Society for Industrial and Applied
Mathematics, Houston, 1989.
- Hierarchy of Scales in
Subsurface Transport. AGU Fall Meeting, San Francisco, 1988.
- Physics and Chemistry of
Fluids Near Surfaces and Mass Transport. AGU Fall Meeting, San
Francisco, 1987.
- Supercomputers in Hydrology:
Future Directions. West Lafayette, 1985.
Serves as Reviewer of Manuscripts for:
- Computational Geosciences
- J. Solids and Structures
- SIAM J Mult Mod Sim
- Geothermics
- Biotechnology and
Bioengineering
- Mathematical Geosciences
- Computers and Chemical
Engineering
- Numerical Methods for PDE's
- J. Fluid Mechanics
- J. Chemical Physics
- Physics of Fluids
- Water Resources Research
- Transport Theory and
Statistical Physics
- Soil Science Society of
America Journal
- International Journal of
Numerical Methods in Fluids
- International Journal of
Numerical Methods in Engineering
- J. Computational Physics
- Agronomy Journal
- J. Soil Science
- J. Colloid and Interface
Science
- Plant and Soil
- Transport in Porous Media
- Advances in Water Resources
- Chemical Engineering Science
- SIAM Journal of Applied
Mathematics
- IMA Journal of Applied
Mathematics
- J. Stochastic Hydrology and
Hydraulics
- J. Numerical Functional
Analysis and Optimization
- Langmuir
- Science
- Int. J. Num. Meth. Eng.
- Nature
- National Science Foundation
- Department of Energy
- Department of Agriculture
- BARD-US/ISRAEL
- National Science Engineering
Research Council, Canada
- Dept. of Defense
- National Science Foundation,
Hong Kong
Served as Reviewer for
Programs at:
- Oak Ridge National Lab
- Los Alamos National Lab
- Pacific Northwest National Lab
- Argonne National Lab
Courses Taught:
-
Analysis of Spatial/Temporal processes in Geophysics (EAS)
-
Spatial Variability (Math/EAS)
-
Mathematical Tools for Upscaling (Math/EAS)
-
Controlled Release (Math)
- Polar
Field Theories (Math/Agron)
-
Numerical Statistical Mechanics (Math/Agron)
-
Dispersion in Porous Media (Chem Eng/Math)
-
Advanced Topics in Continuum Mechanics (Math/Agron)
-
Stochastic Hydrology (Math/Civil Eng)
-
Continuum and Statistical Mechanics of Elasticity
(Math/Agron)
-
Stochastic Transport Processes (Math/Agri Bio Eng)
-
Physics of Fluids in Porous Media (Agron/Civil Eng)
-
Advanced Soil Physics (Agron)
-
Stochastic Soil Physics (Agron/ Agr Biol Eng)
-
Multiphase Transport (Agron)
-
Numerical Methods in Hydrology (Agron/ Civil Eng)
-
Statistical Mechanics with Applications to Clay-Water
Systems (Agron)
-
Soil Physical Properties (Agron)
NSF
Sponsored Summer Schools Organized
2006 Summer School in
Geophysical Porous Media: Multidisciplinary Science from Nano to Global
Scale , Purdue University
Service
From
1984 to 1988 Dr. Cushman served as the Director of the Indiana Water Resources
Research Center. His
administrative responsibilities included 1) receive, disburse, account
for and report on federal funds received; 2) administer and conduct
research, investigations, technology transfer, and related activities
as submitted to and approved by OWP; 3) provide an organized forum for
the discussion and exchange of information among scholars and
scientists; 4) provide the mechanism to promote the free and continuous
exchange of information among teachers and workers, leaders of
industry, agriculture, and private citizens and to encourage exchange
of information between public and private research laboratories and
state and federal agencies; 5) seek funding via proposals to
industrial, state, and federal institutions.
Research Support
Historically,
on average Dr. Cushman is sole PI on $300,000/year in competitive
research grants and secondary PI on $50,000-$100,000/year.
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