NOTE: Several other papers are currently in review. Please contact Brian Berkowitz for details.
Berkowitz, B. and H. Scher, On characterization of
anomalous dispersion in porous and fractured media. Water
Resources Research, 31(6), 1461-1466, 1995.
Berkowitz, B. and H. Scher, Anomalous transport in
random fracture networks. Physical Review Letters, 79(20),
4038-4041, 1997.
Berkowitz, B. and H. Scher, Theory of anomalous chemical
transport in fracture networks. Physical Review E, 57(5),
5858-5869. 1998.
Berkowitz, B. and H. Scher, The role of probabilistic
approaches to transport theory in heterogeneous media, Transport
in Porous Media, 42(1-2), 241-263, 2001.
Berkowitz, B. and H. Scher, Exploring the nature of non-Fickian transport in laboratory experiments,
Advances in Water Resources, 32, 750-755, doi:10.1016/j.advwatres.2008.05.004, 2009.
Berkowitz, B. and H. Scher, Anomalous transport in correlated velocity fields,
Physical Review E, 81, 011128, doi:10.1103/PhysRevE.81.011128, 2010.
Berkowitz, B., A. Cortis, M. Dentz and H. Scher, Modeling non-Fickian transport
in geological formations as a continuous time random walk, Reviews of Geophysics, 44,
RG2003, doi:10.1029/2005RG000178, 2006.
Berkowitz, B., A. Cortis, I. Dror and H. Scher, Laboratory experiments on dispersive transport
across interfaces: The role of flow direction, Water Resources Research,
45, W02201, doi:10.1029/2008WR007342, 2009.
Berkowitz, B., S. Emmanuel and H. Scher, Non-Fickian transport and multiple-rate mass
transfer in porous media, Water Resources Research, 44,
W03402, doi:10.1029/2007WR005906, 2008.
Berkowitz, B., H. Scher and S. E. Silliman, Anomalous
transport in laboratory-scale, heterogeneous porous media, Water
Resources Research, 36(1), 149-158, 2000.
(Erratum: 36(5), 1371, 2000)
Berkowitz, B., J. Klafter, R. Metzler, and H. Scher,
Physical pictures of transport in heterogeneous media:
Advection-dispersion, random-walk and fractional
derivative formulations, Water Resources Research,
38(10), 1191, doi:10.1029/2001WR001030, 2002.
Berkowitz, B., G. Kosakowski, G. Margolin and H. Scher, Application of
continuous time random walk theory to tracer
test measurements in fractured and heterogeneous porous media,
Ground Water, 39(4), 593-604, 2001.
Cortis, A. and B. Berkowitz, Anomalous transport in ''classical'' soil and
sand columns,
Soil Science Society of America Journal, 68, 1539-1548, 2004.
(Erratum: 69, 285, 2005)
Cortis, A. and B. Berkowitz, Computing ''anomalous'' contaminant transport in porous media: The CTRW Matlab toolbox, Ground Water, 43(6), 947-950, 2005.
Cortis, A., Y. Chen, H. Scher and B. Berkowitz, Quantitative characterization
of pore-scale disorder effects on transport in "homogeneous" granular media,
Physical Review E, 70, 041108, doi:10.1103/PhysRevE.70.041108, 2004.
Cortis, A., C. Gallo, H. Scher and B. Berkowitz, Numerical simulation of
non-Fickian transport in geological formations with multiple-scale heterogeneities,
Water Resources Research, 40, W04209, doi:10.1029/2003WR002750, 2004.
Dentz, M. and B. Berkowitz, Transport behavior of a passive solute in
continuous time random walks and multirate mass transfer, Water Resources
Research, 39(5), 1111, doi:10.1029/2001WR001163, 2003.
Dentz, M. and B. Berkowitz, Exact effective transport dynamics
in a one-dimensional random environment, Physical Review E,
72, 031110, doi:10.1103/PhysRevE.72.031110, 2005.
Dentz, M., A. Cortis, H. Scher and B. Berkowitz, Time behavior of solute transport in heterogeneous media:
Transition from anomalous to normal transport, Advances in Water Resources, 27(2), 155-173, 2004.
Dentz, M., H. Scher, D. Holder and B. Berkowitz, Transport behavior of coupled continuous-time random
walks, Physical Review E, 78, 041110, doi:10.1103/PhysRevE.78.041110, 2008.
Edery, Y., H. Scher and B. Berkowitz, Modeling bimolecular reactions and transport in porous media,
Geophysical Research Letters, 36, L02407, doi:10.1029/2008GL036381.
Emmanuel, S. and B. Berkowitz, Continuous time random walks and heat transfer in porous media,
Transport in Porous Media, 67, 413–430, doi:10.1007/s11242-006-9033-z, 2007.
Hornung, G., B. Berkowitz and N. Barkai, Morphogen gradient formation in a complex environment: An anomalous
diffusion model, Physical Review E, 72, 041916, doi:10.1103/PhysRevE.72.041916, 2005.
[Also featured in: Virtual Journal of Biological Physics Research, 1 November 2005, http://www.vjbio.org]
Kosakowski, G., B. Berkowitz and H. Scher, Analysis of
field observations of tracer transport in a fractured till, Journal of
Contaminant Hydrology, 47(1), 29-51, 2001.
Levy, M. and B. Berkowitz, Measurement and analysis of non-Fickian
dispersion in heterogeneous porous media, Journal of Contaminant
Hydrology, 64(3-4), 203-226, 2003.
Margolin, G. and B. Berkowitz, Application of continuous
time random walks to transport in porous media, Journal of
Physical Chemistry B, 104(16), 3942-3947, 2000.
(Erratum: 104(36), 8762, 2000)
Margolin, G. and B. Berkowitz, Spatial behavior of anomalous
transport, Physical Review E, 65, 031101, 1-11, 2002.
Margolin, G. and B. Berkowitz, Continuous time random
walks revisited: First passage time and spatial distributions,
Physica A, 334, 46-66, 2004.
Margolin, G., M. Dentz and B. Berkowitz, Continuous time random
walk and multirate mass transfer modeling of sorption,
Chemical Physics, 295(1), 71-80, 2003.
Scher, H. and M. Lax, Stochastic transport in a
disordered solid, I. Theory, Physical Review B, 7(10),
4491-4502, 1973.
Scher, H. and M. Lax, Stochastic transport in a
disordered solid, II. Impurity conduction, Physical Review B, 7(10),
4502-4519, 1973.
Scher, H., and E. W. Montroll, Anomalous transit-time
dispersion in amorphous solids, Physical Review B, 12(6),
2455-2477, 1975.
Scher, H., G. Margolin, R. Metzler, J. Klafter and B. Berkowitz,
The dynamical foundation of fractal stream chemistry:
The origin of extremely long retention times, Geophysical
Research Letters, 29(5), doi:10.1029/2001GL014123, 2002.
Scher, H., M. F. Shlesinger, and J. T. Bendler,
Time-scale invariance in transport and relaxation, Physics Today,
January, 26-34, 1991.
Scher, H., G. Margolin and B. Berkowitz, Towards a unified framework for
anomalous transport in heterogeneous media, Chemical Physics,
284, 349-359, 2002.
Scher, H., K. Willbrand and B. Berkowitz, Transport in disordered media with spatially
non-uniform fields, Physical Review E, in press, 2010.