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Papers in Refereed Journals
Abrams, D. M., Lobkovsky, A. E., Petroff, A. P., Straub, K. M., McElroy, B., Mohrig, D. C., Kudrolli, A, and Rothman, D. H.,
Growth laws for channel networks incised by groundwater flow,
Nature Geoscience 2, 193-196, March 2009.
Smith, B., Kudrolli, A., Lobkovsky, A.E., and Rothman, D.H.,
Channel erosion due to subsurface flow,
Chaos 18, Art. No. 041105 (1 page), DOI:10.1063/1.2997333, December 31, 2008.
Lobkovsky, A. E., Orpe, A. V., Molloy, R., Kudrolli, A., and Rothman, D. H., Erosion of a granular bed driven by laminar fluid flow, Journal of Fluid Mechanics 605, June 25, 2008
Rothman, D. H. and Forney, D. C.,
Response to Comment on `Physical model for the decay and preservation of marine organic carbon', Science 319, doi:10.1126/science.1148678, March 21, 2008
Straub, K.M, Jerolmack, D.J., Mohrig, D., and Rothman, D.H.,
Channel network scaling laws in submarine basins, Geophysical Research Letters 34, L12613, doi:10.1029/2007GL030089, June 2007.
Latva-Kokko M. and Rothman D.H.,
Scaling of Dynamic Contact Angles in a Lattice-Boltzmann Model Physical Review Letters 98, Art. No. 254503, June 22, 2007.
Rothman, D.H. and Forney, D. C., "Physical model for the decay and preservation of marine organic carbon,"
Science 316, 1325--1328, June 1, 2007.
Lobkovsky, A.E., Smith, B.E., Kudrolli, A., Mohrig, D.C., and Rothman, D.H., "Erosive dynamics of channels incised by subsurface water flow," Journal of Geophysical Research-Earth Surface 112 Art. No. F03S12, March 3, 2007.
Latva-Kokko M. and Rothman D.H.,
Static contact angle in lattice Boltzmann models of immiscible fluids, Physical Review E 72, Art. No. 046701, October 2005.
Latva-Kokko M. and Rothman D.H.,
"Diffusion properties of gradient-based lattice Boltzmann models of immiscible fluids," Physical Review E 71, Art. No. 056702, May 2005.
Lobkovsky, A.E., Jensen, B., Kudrolli, A., and Rothman, D.H.,
``Threshold phenomena in erosion driven by subsurface flow,''
Journal of Geophysical Research-Earth Surface 109, Art. No. F04010, December 24, 2004.
Manuscript form: [abstract] [pdf]
Weitz, J.S. and Rothman, D.H.,
``Dynamics of a contact process with ontogeny,''
Physical Review E, 70, 021915, August 2004.
Manuscript form: [abstract] [ps] [pdf]
Schorghofer, N., Jensen, B., Kudrolli, A., and Rothman, D.H.,
``Spontaneous channelization in permeable ground: Theory, experiment, and observation''
Journal of Fluid Mechanics, 503, 357-374, March 2004.
Manuscript form: [abstract] [pdf]
Weitz, J. S. and Rothman, D. H.
``Scale-dependence of resource-biodiversity relationships''
Journal of Theoretical Biology, 225, 205-214, November 21, 2003.
Manuscript form: [abstract] [ps] [pdf]
Rothman, D.H., Hayes, J. M., and Summons, R.E.,
``Dynamics of the Neoproterozoic carbon cycle''
Proceedings of the National Academy of Sciences USA, 100, 8124-8129, July 8, 2003.
Manuscript form: [abstract] [ps] [pdf]
Schorghofer, N. and Rothman, D.H.,
``Acausal relations between topographic slope and drainage area''
Geophysical Research Letters, 29, 10.1029/2002GL015144, 2002.
Manuscript form: [abstract] [pdf]
Rothman, D.H.,
``Atmospheric CO2 levels for the last 500 million years''
Proceedings of the National Academy of Sciences USA, 99, 4167-4171, April 2, 2002.
Manuscript form: [abstract] [ps] [pdf]
Aharonson O., Zuber, M. T., Rothman, D. H., Schorghofer, N., and Whipple, K.,
``Drainage basins and channel incision on Mars''
Proceedings of the National Academy of Sciences USA, 99, 1780-1783, February 19, 2002.
Manuscript form: [abstract] [pdf]
Aharonson O., M. T. Zuber, and D. H. Rothman,
``Statistics of Mars' Topography from the Mars Orbiter Laser Altimeter: Slopes, Correlations, and Physical Models.''
Journal of Geophysical Research, 106, 23723-23735, October 25, 2001 .
Manuscript form: [pdf]
Chan, K. and Rothman, D.H.,
``Coupled length scales in eroding landscapes.''
Physical Review E, 63, 055102(R) (4 pages), May 2001.
Manuscript form: [abstract] [ps (gzipped)] [pdf]
Rothman, D.H.,
``Global Biodiversity and the Ancient Carbon Cycle.''
Proceedings of the National Academy of Sciences USA, 98, 4305-4310, April 10, 2001.
Manuscript form: [abstract] [ps] [pdf]
Dodds, P.S., Rothman, D.H. and Weitz, J.S.,
``Re-examination of the 3/4-law of Metabolism.''
Journal of Theoretical Biology, 209, 9-27, March 2001.
Manuscript form: [abstract] [ps] [ps (gzipped)] [pdf]
Schorghofer, N. and Rothman D.H.,
``Basins of attraction on random topography''
Physical Review E, 63, 026112 (7 pages), February 2001.
Manuscript form: [abstract] [ps] [ps (gzipped)]
Dodds, P.S. and Rothman D.H.,
``Geometry of River Networks III: Characterization of Component Connectivity,''
Physical Review E, 63, 016117 (10 pages), January 2001.
Manuscript form: [abstract] [ps] [ps (gzipped)] [pdf]
Dodds, P.S. and Rothman D.H.,
``Geometry of River Networks II: Distributions of Component Size and Number,''
Physical Review E, 63, 016116 (15 pages), January 2001.
Manuscript form: [abstract] [ps] [ps (gzipped)] [pdf]
Dodds, P.S. and Rothman D.H.,
``Geometry of River Networks I: Scaling, Fluctuations, and Deviations,''
Physical Review E, 63, 016115 (13 pages), January 2001.
Manuscript form: [abstract] [ps] [ps (gzipped)] [pdf]
Stelitano, D. and Rothman D.H.,
``Fluctuations of elastic interfaces in fluids: Theory and simulation,''
Physical Review E, 62, 6667-6680, November, 2000.
Manuscript form: [abstract] [ps] [ps (gzipped)] [pdf]
Dodds, P.S. and Rothman, D.H., Scaling, universality, and geomorphology, Annu. Rev. Earth Planet. Sci, 28, 571-610, 2000.
Manuscript form: [abstract] [ps] [ps (gzipped)] [pdf]
Dodds, P.S. and Rothman, D.H.,
``Unified view of scaling laws for river networks,''
Physical Review E, 59, 4865-4877, May, 1999.
Manuscript form: [abstract] [ps] [ps (gzipped)] [pdf]
van Genabeek, O. and Rothman, D.H.,
``Critical behavior in flow through a rough-walled channel,''
Physics Letters A, 255, 31-316, May 3, 1999.
Pastor-Satorras, R. and Rothman, D.H.,
``Scaling of a slope: the erosion of tilted landscapes,''
Journal of Statistical Physics, 93, 477-500, November, 1998.
Pastor-Satorras, R. and Rothman, D.H.,
``Stochastic equation for the erosion of inclined topography,''
Physical Review Letters 80, 4349-4352, May 11, 1998.
Rothman, D.H.,
``Oscillons, spiral waves, and stripes in a model of vibrated sand,''
Physical Review Letters 80, 4349-4352, May 11, 1998. Physical Review E 57, R1239-R1242, February, 1998.
Manuscript form: [abstract]
Aharonov, E., Rothman, D.H., and Thompson, A.,
``Transport properties and diagenesis in sedimentary rocks: the role of microscale geometry,''
Geology 25, 547-550, June, 1997.
Olson, J. and Rothman, D.H.,
``Two-phase flow in sedimentary rock: simulation, transport, and complexity,''
Journal of Fluid Mechanics, 341, 343-370, June 25, 1997.
Pot, V., Appert, C., Melayah, A., Rothman, D.H., and Zaleski, S.,
``Interacting lattice-gas automaton study of liquid-gas properties in porous media,''
Journal de Physique II France, 6, 1517-1534, October, 1996.
Grotzinger, J. and Rothman, D.H.,
``An abiotic model for stromatolite morphogenesis,''
Nature, 382, 423-425, October 3, 1996.
Auzerais, F.M., Dunsmuir, J., Ferréol, B., Martys, N., Olson, J., Ramakrishnan, T. S., Rothman, D.H., and Schwartz, L. M.,
``Transport in sandstone: a study based on three-dimensional microtomography,''
Geophysical Research Letters, 23, 705-708, April 1, 1996.
van Genabeek, O. and Rothman, D.H.,
``Macroscopic manifestations of microscopic flows through porous media: phenomenology from simulation,''
Annual Reviews of Earth Sciences, 24, 63-87, 1996.
Aharonov, E. and Rothman, D.H.,
``Growth of correlated pore-scale structures in sedimentary rocks: a dynamical model,''
Journal of Geophysical Research, 101, 2973-2987, February, 1996.
Flekkøy, E. and Rothman, D.H.,
``Fluctuating hydrodynamic interfaces: theory and simulation,''
Physical Review E, 53, 1622-1641, February, 1996.
Appert, C., Olson, J., Rothman, D.H., and Zaleski, S.,
``Phase separation in a three-dimensional two-phase hydrodynamic lattice gas,''
Journal of Statistical Physics, 81, 181-197, October, 1995.
Adler, C., Boghosian, B., Flekkøy, E., Margolus, N., and Rothman, D.H.,
``Simulating three-dimensional hydrodynamics on a cellular-automata machine,''
Journal of Statistical Physics, 81, 105-128, October, 1995.
Olson, J. and Rothman, D.H.,
``A three-dimensional immiscible lattice gas: application to sheared phase separation,''
Journal of Statistical Physics, 81, 199-222, October, 1995.
Rothman, D.H. and Grotzinger, J.,
``Scaling properties of gravity-driven sediments,''
Nonlinear Processes in Geophysics, 2, 178-185, September, 1995.
Ferréol, B. and Rothman, D.H.,
``Lattice-Boltzmann simulations of flow through Fontainebleau sandstone,''
Transport in Porous Media, 20, 3-20, August, 1995.
Flekkøy, E. and Rothman, D.H.,
``Fluctuating fluid interfaces,''
Physical Review Letters, 75, 260-263, July 10, 1995.
Rothman, D.H. and Zaleski, S.,
``Lattice-gas models of phase separation: interfaces, phase transitions, and multiphase flow,''
Reviews of Modern Physics, 66, 1417-1479, October, 1994.
Rothman, D.H. and Kadanoff, L. P.,
``Bubble, bubble, boil and trouble,''
Computers in Physics, 8, 199-204, March/April, 1994.
Adler, C., d'Humières, D., and Rothman, D.H.,
``Surface tension and interface fluctuations in immiscible lattice gases,''
Journal de Physique I (France), 4, 29-46, January, 1994.
Rothman, D.H., Grotzinger, J., and Flemings, P.,
``Scaling in turbidite deposition,''
Journal of Sedimentary Research, A64, 59-67, January, 1994.
Rothman, D.H.,
``From ordered bubbles to random stripes: pattern formation in a hydrodynamic lattice gas,''
Journal of Statistical Physics, 71, 641-652, May, 1993.
Aharonov, E. and Rothman, D.H.,
``Non-Newtonian flow (through porous media): a Lattice Boltzmann method,''
Geophysical Research Letters, 20, 679-682, April, 1993.
Gunstensen, A. and Rothman, D.H.,
``Lattice-Boltzmann studies of immiscible two-phase flow through porous media,''
Journal of Geophysical Research, 98, 6431-6441, April, 1993.
Holme, R. and Rothman, D.H.,
``Lattice-gas and lattice-Boltzmann models of miscible fluids,''
Journal of Statistical Physics, 68, 409-430, August, 1992.
Gunstensen, A. and Rothman, D.H.,
``Microscopic modeling of immiscible fluids in three dimensions by a lattice-Boltzmann method,''
Europhysics Letters 18, 157-161, February 14, 1992.
Gunstensen, A., Rothman, D.H., Zaleski, S., and Zanetti, G.,
``A lattice-Boltzmann model of immiscible fluids,''
Physical Review A 43, 4320-4327, April 15, 1991.
Rothman, D.H.,
``Complex rheology in a model of a phase-separating fluid,''
Europhysics Letters 14, 337-342, February 15, 1991.
Appert, C., Rothman, D.H., and Zaleski, S.,
``A liquid-gas model on a lattice,''
Physica D 47, 85-96, January, 1991.
Gunstensen, A. and Rothman, D.H.,
``A Galilean-invariant immiscible lattice gas,''
Physica D 47, 53-63, January, 1991.
Gunstensen, A. and Rothman, D.H.,
``A lattice-gas model for three immiscible fluids,''
Physica D 47, 47-52, January, 1991.
Rothman, D.H.,
``Deformation, growth, and order in sheared spinodal decomposition,''
Physical Review Letters 65, 3305-3308, December 24, 1990.
Cancelliere, A., Chang, C., Foti, E., Rothman, D.H., and Succi, S.,
``The permeability of a random medium: comparison of simulation with theory,''
Physics of Fluids A 2, 2085-2088, December 1990.
Rothman, D.H.,
``Macroscopic laws for immiscible two-phase flow in porous media: results from numerical experiments,''
Journal of Geophysical Research 95, 8663-8674, June 1990.
Rothman, D.H. and Zaleski, S.,
``Spinodal decomposition in a lattice-gas automaton,''
Journal de Physique (France) 50, 2161-2174, August 1989.
Rothman, D.H.,
``Negative-viscosity lattice gases,''
Journal of Statistical Physics 56, 517-524, August 1989.
Rothman, D.H. and Keller, J.M.,
``Immiscible cellular-automaton fluids,''
Journal of Statistical Physics 52, 1119-1127, August 1988.
Rothman, D.H.,
``Cellular-automaton fluids: a model for flow in porous media,''
Geophysics 53, 509-518, April 1988.
Rothman, D.H.,
``Modeling seismic P-waves with cellular automata,''
Geophysical Research Letters 14, 17-20, January 1987.
Rothman, D.H.,
``Automatic estimation of large residual statics corrections,''
Geophysics 51, 332-346, February 1986.
Rothman, D.H.,
``Nonlinear inversion, statistical mechanics, and residual statics estimation,''
Geophysics 50, 2784-2796, December 1985.
Rothman, D.H., Levin, S., and Rocca, F.,
``Residual migration: applications and limitations,''
Geophysics 50, 110-126, January 1985.