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
Records Publications / Presentations Teaching  Other
Academic Expertise Recognitions Books Novels
 Short Stories
 Papers Presentations Conferences organized Reviewer Courses Service Research Support

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

Membership in Academic, Professional, and Scholarly Societies

Books


 Low, P.F., J.H. Cushman and C.B. Roth, (2004), 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

  1. Parashar*, R., and J. H. Cushman (2007) The finite-size Lyapunov exponent for Levy motions. (submitted to Phys Rev E)
  2. Moroni*, M., A. Cenedese and J.H. Cushman (2007) Application of 3D-PTV to Track Passive Scalars in Porous Media (submitted to Measurement Science and Technology).
  3. Moroni*, M., N. Kleinfelter-Domelle* and J. H. Cushman (2007) Novel Measures of Dispersion Applied to a Vortex Generating Chromatograph (submitted to Phys Fluids).
  4. Parashar*, R. and J. H. Cushman (2007) Levy motions in a slit nano-pore. (submitted to Phys Rev E)
  5. Weinstein*, T., J. H. Cushman and L. S. Bennethum (2007) Two-Scale, Three-Phase Theory for Swelling Drug Delivery Systems. Part I: Mixture Theory (In Press, Journal of Pharmaceutical Sciences).
  6. Weinstein*, T., J. H. Cushman and L. S. Bennethum (2007) Two-Scale, Three-Phase Theory for Swelling Drug Delivery Systems. Part II: Flow and Transport Models (In Press, Journal of Pharmaceutical Sciences).
  7. Moroni*, M., N. Kleinfelter* and J. H. Cushman (2006) Analysis of dispersion in porous media via matched index particle tracking velocimetry experiments.  Advances in Water Resources (Published on line March 30, 2006 and in print vol 30 pp 1-15, 2007).
  8. Park*, M. and J. H. Cushman (2006) On upscaling operator-stable Levy motions in fractal porous media. J. Comp. Phys. 217:159-165.
  9. Kleinfelter*, N., M. Park* and J. H. Cushman (2006) Mixture theory for swelling soils. Transport in Porous Media. (Published online Dec. 14, 2006).
  10. Bonilla*, F. A., N. Kleinfelter* and J.H. Cushman (2006) Microfluidic Aspects of Adhesive Microbial Dynamics, Advances Water Resources (Published on line Sept 20, 2006).
  11. Kleinfelter*, N. and J. H. Cushman (2006) 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.
  12. Cushman, J.H. and T. R. Ginn* (2006) 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.
  13. 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.
  14. 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.
  15. 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.
  16. 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.
  17. 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.
  18. 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).
  19. 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.
  20. 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.
  21. 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.
  22. 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.
  23. 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.
  24. Singh*, P.P., J.H. Cushman and D.E. Maier (2003) Multiscale fluid transport theory for swelling biopolymers.  Chem. Eng. Sci. 58: 2409-2419.
  25. 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. 
  26. 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
  27. Singh*, P.P., J.H. Cushman and D. Maier (2003) Three scale thermomechanical theory for swelling biopolymeric systems.  Chem. Eng. Sci. 58: 4017-4035
  28. 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.
  29. 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.
  30. 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.
  31. 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.
  32. 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.
  33. 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.
  34. 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.
  35. 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.
  36. Stroud*, W., J. Curry*, and J.H. Cushman (2001) Capillary condensation and snapoff in nanoscale contacts.  Langmuir 17(3):688-698.
  37. Cenedese, A., J.H. Cushman and M. Moroni* (2001) 3-D PTV experiments in porous media.  Euromech. 411:1-10.
  38. 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.
  39. Bonilla*, A. and J.H. Cushman (2001) On perturbative expansions to the stochastic flow problem.  Trans. Porous Media 42:3-35.
  40. 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.
  41. 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.
  42. 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.
  43. 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.
  44. Murad*, M.A. and J.H. Cushman (2000) Thermomechanical theories for swelling porous media with microstructure.  Int. J. Eng. Sci. 38:517-564.
  45. 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.
  46. 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.
  47. 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.
  48. 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.
  49. 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.
  50. 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.
  51. 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.
  52. Curry*, J.E. and J.H. Cushman (1998) Structure in confined fluids: phase separation of binary simple liquid mixtures.  Tribology Letters 4:129-136.
  53. 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.
  54. 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.
  55. 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.
  56. 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.
  57. 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.
  58. 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.
  59. 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.
  60. Murad*, M.A. and J.H. Cushman (1997) New directions for modeling consolidation of swelling clay soils.  Trends in Soil Science 2:1-35.
  61. 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.
  62. 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.
  63. 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.
  64. 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.
  65. 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.
  66. 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.
  67. 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.
  68. 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.
  69. 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.
  70. 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.
  71. 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.
  72. 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.
  73. 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.
  74. 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.
  75. 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.
  76. Sternberg*, S.P.K., J.H. Cushman, and R.A. Greenkorn (1996) Random walks in prefractal porous media.  AIChE 42(4):921-926.
  77. 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.
  78. 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.
  79. 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.
  80. Curry*, J. and J.H. Cushman (1995) Nanophase coexistence and sieving in binary mixtures confined between corrugated walls.  J. Chem. Phys. 103:2132-2139.
  81. 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.
  82. 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.
  83.  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.
  84.  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.
  85.  Cushman, J.H. and X. Hu* (1995) A resumé of nonlocal transport theories.  Stoch. Hydrol. Hyd. 9:105-116.
  86.  Curry*, J. and J.H. Cushman (1995) Binary mixtures of simple fluids in structured slit-micropores.  Mol. Phys. 85(1):173-192.
  87.  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.
  88. 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.
  89. Achanta*, S. and J.H. Cushman (1994) Nonequilibrium swelling and capillary pressure relations for colloidal systems.  J. Colloid Interface Sci. 168(1):266-268.
  90. 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.
  91. Achanta*, S., J.H. Cushman, M.R. Okos (1994) On multiphase, multicomponent thermomechanics with interfaces.  Int. J. Engineering Science 32(11):1717-1738.
  92. 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.
  93. 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.
  94. 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.
  95. 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.
  96. Cushman, J.H., X. Hu*, T.R. Ginn* (1994) Nonequilibrium statistical mechanics of preasymptotic dispersion.  J. Stat. Phys. 75:859-878.
  97. Curry*, J., J.H. Cushman, M. Schoen*, D.J. Diestler (1994) Interfacial tension in confined molecularly-thin films.  Mol. Phys. 81(5):1059-1073.
  98. Schoen*, M., J.H. Cushman, D.J. Diestler (1994) Anomalous Diffusion in Molecularly Thin Films.  Mol. Phys. 81(2):475-490.
  99. 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.
  100. 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.
  101. Diestler, D.J., M. Schoen*, J.H. Cushman (1993) On thermodynamic stability of confined thin films under shear.  Science 262:545-547.
  102. 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.
  103. Cushman, J.H., T.R. Ginn* (1993) On dispersion in fractal porous media.  Water Resour. Res. 29(10):3513-3515.
  104. 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.
  105. Cushman, J.H. (1993) Nonlocal diffusion and strain-induced liquifaction of particulate media.  Mechanics of Materials 16:119-124.
  106. 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.
  107. 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.
  108. 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.
  109. 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.
  110. 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.
  111. Schoen*, M., D.J. Diestler, J.H. Cushman (1993) Shear melting of confined solid monolayer films.  Physics Review B 47(10):5603-5613.
  112. 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.
  113. 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.
  114. 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.
  115. 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.
  116. 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.
  117. 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.
  118. 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.
  119. 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.
  120. Cushman, J.H., D.J. Diestler and M. Schoen* (1991) Nonlocal Transport Theories in Media with Microstructure, ASME, Applied Mechanics Division 117:17-22.
  121. Wheatcraft, S.W., J.H. Cushman (1991) Hierarchical Approaches to Transport in Heterogeneous Porous Media.  Revs. of Geophysics.  Supplement - U.S.Union of Geodesy and Geophysics 1987-1990, pp. 263-269.
  122. Cushman, J.H. (1991) On Diffusion in Fractal Porous Media.  Water Resour. Res. 27(4):643-644.
  123. Rhykerd*, C.L., Jr., J.H. Cushman, P.F. Low (1990) Relative Vapor Pressure Via FTIR, J. Coll. Int. Sci. 139:593-594.
  124. 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).
  125. Cushman, J.H. (1990) Molecular Scale Lubrication, Nature 347(6290):227-228.
  126. 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.
  127. 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.
  128. Ginn*, T.R. and J.H. Cushman (1990) Stochastic Inverse Problems:  A Critical Review, Stoch. Hydrol. & Hydraul. 4:1-26.
  129. 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.
  130.   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.
  131. 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.
  132. 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.
  133. Schoen*, M., C.L. Rhykerd*, Jr., D.J. Diestler, and J.H. Cushman (1989) Shear Forces in Molecularly Thin Films, Science 245:1223-1225.
  134. 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.
  135. 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.
  136. 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.
  137. 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.
  138. Cushman, J.H. (1987) Development of Stochastic Partial Differential Equations for Subsurface Hydrology.  Stochastic Hydrology and Hydraulics 1:241-262.
  139. 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.
  140. 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.
  141. 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.
  142. 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.
  143. 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.
  144. Cushman, J.H. (1987) Stochastic Filtering of Multiphase Transport Phenomena.  Transport in Porous Media, 2(5):425-453.
  145. Cushman, J.H. (1987) More on Stochastic Models.  Water Resources Research, 24(4):750-752.
  146. Cushman, J.H. (1986) Multiphase Transport in the Space of Stochastic Tempered Distributions.  I.M.A.J. Applied Math, 36:159-175.
  147. Cushman, J.H. and F.J. Wobber (1986) Keeping Supercomputers Under Control.  Nature 321:21.
  148. Cushman, J.H. (1986) On Measurement, Scale and Scaling.  Water Resources Research 20(2):129-134.
  149. Cushman, J.H. (1985) Multiphase Transport Based on Compact Distributions.  Acta Applicandae Mathematicae 3:239-254.
  150. Cushman, J.H. (1984) Fourier Interpretations of Multiphase Averaging Theory.  Advances in Water Resources 7:126-131.
  151. 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.
  152. 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.
  153. Cushman, J.H. (1984) Nutrient Transport Inside and Outside the Root Rhizosphere:  Generalized Model.  Soil Sci. 138(2):164-171.
  154. 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.
  155. Cushman, J.H. (1984) Numerical Study of Some Age-Dependent Parameters in Root Nutrient Uptake.  Plant and Soil 79:123-141.
  156. Cushman, J.H. (1983) On Three-Dimensional Stochastic Analysis of Macrodispersion in Aquifers.  Water Resour. Res. 19(6):1641-1642.
  157. 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.
  158. Cushman, J.H. (1983) Volume Averaging, Probabilistic Averaging and Ergodicity.  Advances in Water Resources 6:182-184.
  159. 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.
  160. Cushman, J.H. (1983) Nonstandard Finite Elements and Immiscible Displacement.  Soil Science 135:135-142.
  161. 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.
  162. Cushman, J.H. (1982) Nutrient Transport Inside and Outside the Root Rhizosphere:  Theory.  Soil Science Soc. Amer. J. 46:704-709.
  163. Cushman, J.H. (1982) Proofs of the Volume Averaging Theorems for Multiphase Flow.  Advances in Water Resources 5:248-253.
  164. Cushman, J.H. and C. Huang* (1982) General Difference Formulas for Linear and Quasilinear Hyperbolic Equations.  Int. J. Num. Method. Fluids 2:387-405.
  165. 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.
  166. 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.
  167. Cushman, J.H., (1981) Continuous Families of Lax-Wendroff Schemes.  Int. J. Num. Meth. Eng. 17:  975-989.
  168. Huang*, C. and J.H. Cushman (1981) High Order Accurate Explicit, Difference Formulas for the Classical Wave Equation.  J. Comp. Phy. 40:  376-395.
  169. 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.
  170. Cushman, J.H. (1980) Comparison of Convective and Diffusive Absorption of Nutrients by Growing Roots.  Plant and Soil 57:407-421.
  171. 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.
  172. 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.
  173. Cushman, J.H. (1979) Reply to Comment.  Water Resour. Res. 15(3):721-722.
  174. Cushman, J.H. (1979) Difference Schemes or Element Schemes?  Int. J. Num. Meth. Eng. 14:1643-1651.
  175. 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.
  176. 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.
  177. Cushman, J.H. (1979) The Effect of a Constant Efflux on Solute Movement to a Root.  Plant and Soil 53:303-317.
  178. 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.
  179. Cushman, J.H. and D. Kirkham (1978) Solute Travel Times to Wells in Single or Multiple Layered Aquifers.  J. Hydrol. 37:169-184.
  180. 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

  1. Upscaling α-stable Levy Motions in Turbulence and Porous Media, SIAM Conference on Applications of Dynamical Systems, Snowbird Utah (2007)
  2. Dispersion of Microbes in Porous Media, SIAM Conference on Mathematical and Computational Issues in Geosciences, Santa Fe NM (2007)
  3. Anomalous Dispersion: Angstroms to Kilometers, SIAM Conference on Mathematical and Computational Issues in Geosciences, Santa Fe NM (2007)
  4. Dispersion Revisited: Generalized Hydrodynamics, Renormalization, Fractional Equations and the CTRW, Center for Stochastic and Chaotic Processes, Case Western Reserve University, Cleveland, Oh (2007)
  5. Three-Phase Theory for Swelling Drug Delivery Systems, IUTAM Conference on Swelling and Shrinking Porous Media, Petropolis, Brasil (2007)
  6. Levy Motions and Applications to Microbial Dynamics in Fractal Porous Media, 7th World Congress on Computational Mechanics, LA, Ca (2006)
  7. 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)
  8. Mixture Theory for Multi-scale Swelling Polymers, Nacional de Matemática Aplicada e Computacional  XXIX, CNMAC, Campinas Brazil (2006)
  9. Fractional Equations, Levy Motions and Generalized Hydrodynamics, International Meeting on Fractional Calculus, Dunedin, NZ (2006)
  10. 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)
  11. Fractional Dispersion and Renormalized Levy Motions, Dept. Mathematics, UNC (2005)
  12. Dispersion Revisited: Generalized Hydrodynamics, Renormalization, Fractional Equations and the CTRW, AGU Fall Meeting SF (2005)
  13. Upscaling Levy Motions and Anomalous Dispersion,  Western Pacific Geophysics Meeting, Honolulu (2004)
  14. Polar Continuum Models of Heavy Organics,  Int. Conf. Heavy Organic Depositions, Cabo San Lucas, Mx (2004)
  15. Chaotic Dynamics of Motile Microbes and Upscaling, SIAM Annual Meeting, Portland, Or (2004)
  16. Swelling Biopolymers and Other Viscoelastic Media: Theory and Numerics, SIAM Meeting on Geoscience, Austin, TX (2003).
  17. Genetic Evolution in Microbial Communities in Porous Media: Multiscale Physics and Upscaling,  ARO Symposium on Science and Complex Adaptive Systems , Durham NC (2003)
  18. On the Relation Between Anomalous Dispersion, the Finite-Size Lyapunov Exponent and the Intermediate Scattering Function, SIAM Meeting of Geoscience, Austin, TX (2003).
  19. Anomalous Dispersion in Porous Media: Theory and 3D-PTV Experiments, IUTAM, Netherlands (2003).
  20. 3D-PTV Experiments on Preasymptotic Dispersion, American Society of Civil Engineering, San Francisco, CA (2003).
  21. Anomalous Dispersion, Finite Size Lyapunov Exponents, the Full Intermediate Scattering Function and 3D-PTV, American Geophysical Union Fall Meeting, San Francisco, CA (2002).
  22. Saturated–Unsaturated Flow in Swelling Systems, American Geophysical Union Fall Meeting, San Francisco, CA (2002).
  23. 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).
  24. Size Affects on Nanoscale Contacts, Capillary Adsorption and Snapoff Animations.  American Chemical Society, Orlando, FL (2002).
  25. The Effect of Load and Shear on Confined Nanofilms.  SIAM 50th Annual Meeting, Philadelphia, PA (2002).
  26. Statistical Mechanics of Anolmalous Dispersion with 3D-PTV Experiments in Porous Media.  31st Statistical Physics Meeting, Taxco, Mexico (2002).
  27. The Effect of Symmetry Breaking Structures on Fluid Nanofilms: Application to Nanorheology, Nanochromatography and Nanotribology.  Harvard University (2001).
  28. An Overview of Porous Media Science, Harvard University (2001).
  29. 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).
  30. 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).
  31. Mixture Theories of Multiscale Viscoelastic Porous Media.  SIAM Geosciences Conference, SIAM, Boulder, CO (2001).
  32. Theories of Anomalous Dispersion with Experimental Results.  Env. Eng. Dept., Johns Hopkins University (2001).
  33. Statistical Mechanics of Preasymptotic Dispersion, Physics Dept., Univ. of Rome, La Sapienza (2001).
  34. Anomalous Dispersion in the Environment, Env. Engr., University of South Florida (2001).
  35. 3D-PTV Experiments for Preasymptotic Dispersion, US-Mexico-Canada Meeting on Physics in Porous Media, Puerta Velarta, Mexico (2001).
  36. A Scale-Invariant Theory of Dispersion.  Univ. Paris, France (2000).
  37. A Scale-Invariant Theory of Dispersion.  IFP, Rueil, France (2000).
  38. A Scale-Invariant Dispersion Theory with Examples on the Scale of Nanometers and Meters.  GSA, Reno, NV (2000).
  39. Statistical Mechanical Theories of Anamolous Transport in Soils.  Kirkham Conference, Iowa State University (2000).
  40. Anomalous Dispersion.  IUTAM Scaling Laws in Ice Dynamics Symposium, Fairbanks (2000).
  41. Statistical Mechanical Theories and 3-DPTV Experiments on Anomalous Dispersion in Porous Media.  European Geophysics Society Millennium Meeting, Nice France (2000).
  42. Anamolous Transport of Conservative Chemicals: Theory and 3-DPTV Experiments.  Multiscale Modeling and Simulation of Flow and Transport in Porous Media, Los Alamos (1999).
  43. Capillary Adsorption and Snapoff.  Mexican-Canada Meeting on Applications of Physics to Porous Media, Puerto Vallarta, MX (1999).
  44. Capillary Snapoff.  SIAM Conference on Geosciences, San Antonio, TX (1999).
  45. The Physics of Fluids in Microporous Media.  University of Rome I, Italy (1998).
  46. Modern Stochastic Approaches to Subsurface Flow and Transport.  Lab. Env. Fluid Mechanics, University of Rome I, Rome, Italy (1998).
  47. Coupled Heat and Moisture Transport in Unsaturated Soils: Mixture Theory.  SSSA, Baltimore, MD (1998).
  48. Fluids in Colloids.  Workshop on Nonlinear Dynamics, Los Alamos, NM (1998).
  49. The Physics of Fluids in Hierarchical Porous Media: Angstroms to Miles – A Survey.  Department of Civil Engineering, University of Michigan (1997).
  50. Fluids in Micropores.  Canada-Mexico Workshop on Application of Physics to Porous Media, Alberta, Canada (1997).
  51. The Physics of Fluids in Porous Media: Angstroms to Miles.  SIAM Meeting on Geosciences, Albuquerque, NM (1997).
  52. Nonlocal Dispersive Transport:  Theory vs. Experiment.  27th ASCE/IHAR Congress, San Francisco (1997).
  53. Stochastic Perturbation and Reactive Chemical Transport.  Brasilian Soc. Appl. Comp. Math., Goiania, Brazil (1996).
  54. Stochastic PDE's in Hydrology.  Stochastic Methods in Applied Sciences, Los Alamos (1996).
  55. Traction on Deformable Porous Media.  Second North American Workshop on Mobility Modeling, USACE-WES (1996).
  56. Stochastic Perturbation Theories of Transport:  Monte Carlo Verification.  Army High Performance Computing Research Center, Univ. of Minnesota (1996).
  57. Nonlocal Theories of Reactive Chemical Transport in Porous Media.  Int. Meeting on Math Models for Porous Media, Oberwolfach, Germany (1996).
  58. Multiscale Transport.  Instituto Politecnico, Univ. de Estado do Rio de Janeiro (1995).
  59. Physics of Fluids in Porous Media:  Angstroms to Miles.  Lab. National Comp. Sci., Rio de Janeiro (1995).
  60. Nonlocal Eulerian Transport with Physical, Chemical and Biological Heterogeneity.  Geol. Soc. Am., New Orleans (1995).
  61. Multiscale Flow and Deformation in Swelling Porous Media.  Find Particles Society, Chicago (1995).
  62. 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)
  63. Nonlocal Dispersion:  Theory and Confirmation.  UNESCO/IAHS, Paris, France (1995).
  64. Classical-, quasi-, convolution-fickian and more general dispersive fluxes: regions of validity.  SIAM Conference on Geophysics, San Antonio, TX (1995).
  65. Theories of Dispersion: A Critical Discussion.  AGU, San Francisco (1994).
  66. Supercomputing in Soil Physics.  SSSA, Seattle (1994).
  67. A Hierarchy of Nonlocal Dispersion Theories.  Brasilian Soc. Appl. Comp. Math, Victoria, Brazil (1994).
  68. Nonlocal Dispersion Revisited.  Lab. National Comp. Sci., Rio de Janeiro, Brazil (1994).
  69. Scales of Measurement.  Division of Water Resources, CSIRO, Perth, Australia (1994).
  70. Overview of Mesoscale Phenomena.  Gordon Conference on Flow in Porous Media, Proctor Academy (1994).
  71. Nanotribology and the formation and destruction of nano capillaries.  Materials Research Soc., Boston (1994).
  72. Chemical Dispersion in Porous Media: A Modern Perspective.  Dept. of Environmental Mechanics, CSIRO, Canberra, Australia (1994).
  73. Dispersion Revisited.  Dept. of Environmental Engineering, University of Western Australia (1994).
  74. Quasistatic computational molecular tribology.  8th International Conference of Surface and Colloid Chemistry, Adelaid, Australia (1994).
  75. Scaling in hierarchical systems.  Chapman Conference on Building and Testing Atomistic-to-Basin-Scale Models, Lincoln, NH (1994).
  76. Stochastic Adaptive Estimation Techniques.  Environmental Sciences Program, BPNL, Richland (1993).
  77. Adsorption and Phase Transitions in Micropores.  Applications of Computational Chemistry to Soils, SSSA Cincinnati (1993).
  78. Clay Swelling: A Thermomechanical Derivation of Low's Empirical Equation.  Special Session in Honor of P.F. Low's 70th Birthday, ASA Cincinnati (1993).
  79. Nonlocal Constitutive Models for Chemical Transport in Porous Media.  Joint ASME-ASCE-SES meeting, Charlottesville, VA (1993).
  80. Information Propagation Over Scales.  NATO/ASI on Transport in Porous Media, Grenoble, France (1993).  (Canceled because of travel arrangement problems.)
  81. 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).
  82. A FFT/Stochastic Theory of Contaminant Transport.  Int. Conference on Stochastic and Statistical Methods in Hydrology and Environmental Engineering, University of Waterloo, Canada (1993).
  83. Nonlocal Dispersion Theories Based on Rigorous Theories of Statistical Mechanical Correlation Functions.  Dept. of Environmental Engineering, University of North Carolina (1993).
  84. Hierarchical Problems: From the Molecular to the Field Scale.  Workshop on Environmental Chemistry:  Soils and Groundwater, Battelle Conference Center, Seattle, WA (1992).
  85. Nonlocal Diffusion and Fractional Flow.  Dept. of Hydrology, Univ. of Arizona, Tucson (1992).
  86. Fractal Brown Diffusion in Porous Media.  23rd Annual Meeting of the Fine Particle Society, Las Vegas, NV (1992).
  87. On the Statistical Mechanics of Granular Flows.  Nonlinear Dynamics Program, Dept. of Physics, Clarkson University, Potsdam, NY (1992).
  88. Surface Forces in Molecularly-Thin Films.  Dept. of Civil Engineering, Duke University (1992).
  89. Nonlocal Diffusion in Porous Media.  Dept. Chem. Eng., Worcester Polytech., Worcester, MA (1992).
  90. Information Propagation Over Scales in Porous Media.  Environmental Studies Workshop, Institute for Math and It's Application, Minneapolis, MN (1992).
  91. Non-local Stochastic Transport Theories.  Oberwolfach Conference on Porous Media, (Cancelled because of travel conflicts) Oberwolfach, Germany (1992).
  92. Fractional Brownian Diffusion in Molecularly Thin Films.  Molecular Sciences Research Center, BPNL (1991).
  93. Multiscale Transport Processes in Porous Media.  IMACS, Dublin, Ireland (1991).
  94. On Diffusion and Dispersion in Fractal Porous Media.  Dept. of Civil Engineering, University of California at Berkeley (1991).
  95. Transport with Evolving Heterogeneities.  Dept. of Mathematics, Clemson University (1991).
  96. Fluids in Micropores.  Dept. of Civil Engineering, Duke University (1991).
  97. Fluids in Microfractures.  Flow and Transport in Unsaturated Fractured Rock -- Related to High-Level Radioactive Waste Disposal, V, Tucson, AZ (1991).
  98. The Behavior of Fluids in Microporous Media.  American Chemical Society, Atlanta (1991).
  99. Hierarchical Transport in Porous Media.  NSF-Micromechanics of Granular Materials, Clarkson University, Potsdam, NY (1991).
  100. Nonlocal Continuum Theories of Porous Media Transport.  American Society of Mechanical Engineers, Columbus, OH (1991).
  101. Hierarchical Problems:  Some Conceptual Difficulties in the Development of Transport Equations.  International Meeting on Heat and Mass Transport in Porous Media, Dubrovnik, Yugoslavia (1991).
  102. Transport in Fractals.  Center for Energy and the Environment, Rice University, Houston, TX (1990).
  103. Diffusion in Fractals.  Desert Research Institute, University of Nevada Reno and Las Vegas (1990).
  104. Diffusion in Fractal Porous Media.  Western Pacific Geophysics Meeting, Kanazawa, Japan (1990).
  105. Nonlocal Transport Theories.  International Meeting on Transport and Mass Exhange Processes in Sand and Gravel Aquifers:  Field and Model Studies, Ottawa, Canada (1990).
  106. On Dispersion in Porous Media.  Departments of Chemical and Civil Engineering, University of California, Davis (1990).
  107. On the Behavior of Fluids Near Surfaces.  Institute for Theoretical Dynamics, University of California, Davis (1990).
  108. Fluids in Small Pores.  Environmental and Molecular Sciences Research Center, Battelle Pacific Northwest Lab, Richland, WA (1990.
  109. Molecular Dynamics and Monte Carlo Studies of Fluids in Structured Micropores.  Supercomputer Institute, University of Minnesota (1989).
  110. Subsurface Stochastic Models.  Department of Civil Engineering, Universitat Stuttgart, West Germany (1989).
  111. Fluids in Microporous Soils.  Department of Soils, Universitat Hohenheim, West Germany (1989).
  112. Application of Statistical Mechanics to Study the Behavior of Fluids in Clays.  Agronomic Institute, Versailles, France (1989).
  113. Stochastic Processes in Hydrology.  International Workshop on Mathematical Modeling for Flow and Transport in Porous Media, Irsee, Bavaria, Federal Republic of Germany (1989).
  114. Modern Approaches to Porous Media Transport Theory: Molecular to Field Scale.  Molecular Science Research Center, PNL, Richland, WA (1988).
  115. Recent Computational Results on Fluids in Micropores.  Department of Chemical Engineering, Cornell University, Ithaca, NY (1988).
  116. Theories of Stochastic Multiphase Processes.  Mathematical Sciences Institute, Cornell University, Ithaca, NY, (1988).
  117. Molecular-Scale Physics of Fluids Near Surfaces with Biotechnological and Soils Applications.  USDA-ARS, Washington, DC (1988).
  118. Stochastic PDE's for Transport in Heterogeneous Media.  Applied Mathematics Research Center, Cornell University, Ithaca, NY (1988).
  119. Structure and Dynamical Properties of Simple Fluids in Microporous Media.  Illinois State Geological Survey, Champaign, IL (1987).
  120. Applications of Stochastic Functional Analysis to Multiphase Transport.  Society of Engineering Science, Salt Lake City, Utah (1987).
  121. Organic Chemical Interaction with Clays.  Department of Civil Engineering, University of Illinois, Urbana, IL (1986).
  122. Organic and Water Interaction with Clays.  Am. Inst. Ch. Eng., Chicago (1985).
  123. Supercomputers in the Study of Clay-Organic-Water Interactions.  WRRC-DOE Seminar on Supercomputers in Hydrology:  Future Directions, Purdue University (1985).
  124. 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).
  125. Unifying Theories in Multiphase Transport.  Department of Civil Engineering, Princeton University (1984).
  126. Stochastic Problems in Porous Media Transport.  Water Resources Program, Department of Civil Engineering, Princeton University, sponsored by DOE (1984).
  127. Quantum and Statistical Mechanics for Clay Swelling; Preliminaries.  NATO Advanced Study Institute on Mechanics of Fluids in Porous Media, University of Delaware (1982).
  128. Toward a Theoretical Explanation of Swelling.  Department of Hydrology, University of Arizona (1982).
  129. Nutrient Movement and Absorption by Plants.  ASA Symposium on Ion Transport (1981).
  130. On the Proofs of the Volume Averaging Theorems for Multiphase Flow.  Department of Environmental Engineering, Johns Hopkins University (1981).
  131. Continuous Families of Finite Difference Schemes.  Water Resources Program, Department of Civil Engineering, Princeton University (1980).
  132. Analytical Modeling of Nutrient Movement to Roots.  Department of Agronomy, Iowa State University (1980).

Conferences or Sessions Organized and Chaired

  1. North American Workshop on Applications of Physics to Porous Media, Puerto Vallarta, Mx (2007)
  2. North American Workshop on Applications of the Physics of Porous Media, Puerto Vallarta, Mx (2005)
  3. Joint Canada, USA, Mexico Meeting on Applications of Physics to Porous Media, Puerto Vallarta, Mexico, 2003.
  4. Workshop on Modern Mathematical/Physical Tools that May Lead to Improved models in Subsurface Hydrology, NSF/Purdue University, 2003.
  5. European Geophysical Meeting Special Session on Nondestructive Methods for Porous Media, Nice, France, 2003.
  6. Joint Canada, USA, Mexico Meeting on Applications of Physics to Porous Media, Puerto Vallarta, Mexico, 2001.
  7. Joint Canada, USA, Mexico Meeting on Applications of Physics to Porous Media, Puerto Vallarta, Mexico, 1999.
  8. Theoretical, Computational, and Experimental Modeling of Multiscale Phenomena in Porous Media, SIAM, Albuquerque, 1997.
  9. Multiscale Processes in Porous Media, Soc. Ind. Appl. Math, San Antonio, 1995.
  10. Multiscale-Phenomena: Session on Mesoscale Processes, Gordon Conference, Procter Academy, 1994.
  11. Hierarchical Problems, Mathematical and Computational Issues in Geosciences, Houston, Soc. Ind. Appl. Math, 1993.
  12. Foundational Theories for Multiphase Mixtures, Soc. Eng. Sci., La Jolla, CA, 1992.
  13. Multiscale Transport in Porous Media, IMACS World Congress on Computational and Applied Math, Dublin, 1991.
  14. Western Pacific Geophysical Meeting - Hydrology Section, Kanazawa, Japan, 1990.
  15. The Structure and Dynamics of Fluids in Microporous Media, Society for Industrial and Applied Mathematics, Houston, 1989.
  16. Hierarchy of Scales in Subsurface Transport. AGU Fall Meeting, San Francisco, 1988.
  17. Physics and Chemistry of Fluids Near Surfaces and Mass Transport. AGU Fall Meeting, San Francisco, 1987.
  18. Supercomputers in Hydrology: Future Directions. West Lafayette, 1985.

Serves as Reviewer of Manuscripts for:

  1. Computational Geosciences
  2. J. Solids and Structures
  3. SIAM J Mult Mod Sim
  4. Geothermics
  5. Biotechnology and Bioengineering
  6. Mathematical Geosciences
  7. Computers and Chemical Engineering
  8. Numerical Methods for PDE's
  9. J. Fluid Mechanics
  10. J. Chemical Physics
  11. Physics of Fluids
  12. Water Resources Research
  13. Transport Theory and Statistical Physics
  14. Soil Science Society of America Journal
  15. International Journal of Numerical Methods in Fluids
  16. International Journal of Numerical Methods in Engineering
  17. J. Computational Physics
  18. Agronomy Journal
  19. J. Soil Science
  20. J. Colloid and Interface Science
  21. Plant and Soil
  22. Transport in Porous Media
  23. Advances in Water Resources
  24. Chemical Engineering Science
  25. SIAM Journal of Applied Mathematics
  26. IMA Journal of Applied Mathematics
  27. J. Stochastic Hydrology and Hydraulics
  28. J. Numerical Functional Analysis and Optimization
  29. Langmuir
  30. Science
  31. Int. J. Num. Meth. Eng.
  32. Nature
  33. National Science Foundation
  34. Department of Energy
  35. Department of Agriculture
  36. BARD-US/ISRAEL
  37. National Science Engineering Research Council, Canada
  38. Dept. of Defense
  39. National Science Foundation, Hong Kong

Served as Reviewer for Programs at:

  1. Oak Ridge National Lab
  2. Los Alamos National Lab
  3. Pacific Northwest National Lab
  4. Argonne National Lab

Courses Taught:

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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