262 citations · 539 across the 7 of their papers we have counts for
7 papers
Controls that expedite first passage times in disordered systems
Marc Höll, Alon Nissan, Brian Berkowitz +1
First passage time statistics in disordered systems exhibiting scale invariance are studied widely. In particular, long trapping times in energy or entropic traps are fat-tailed di…
Modeling non-Fickian solute transport due to mass transfer and physical heterogeneity on arbitrary groundwater velocity fields
Scott K. Hansen, Brian Berkowitz
We present a hybrid approach to groundwater transport modeling, "CTRW-on-a-streamline", that allows continuous-time random walk (CTRW) particle tracking on large-scale, explicitly-…
Origins of Anomalous Transport in Disordered Media: Structural and Dynamic Controls
Yaniv Edery, Harvey Scher, Alberto Guadagnini +1
We quantitatively identify the origin of anomalous transport in a representative model of a heterogeneous system---tracer migration in the complex flow patterns of a lognormally di…
Record-breaking statistics for random walks in the presence of measurement error and noise
Yaniv Edery, Alexander B. Kostinski, Satya N. Majumdar +1
We address the question of distance record-setting by a random walker in the presence of measurement error, , and additive noise, and show that the mean number of (upper) re…
Physical Pictures of Transport in Heterogeneous Media: Advection-Dispersion, Random Walk and Fractional Derivative Formulations
Brian Berkowitz, Joseph Klafter, Ralf Metzler +1
The basic conceptual picture and theoretical basis for development of transport equations in porous media are examined. The general form of the governing equations is derived for c…
The dynamical foundation of fractal stream chemistry: The origin of extremely long retention times
H. Scher, G. Margolin, R. Metzler +2
We present a physical model to explain the behavior of long-term, time series measurements of chloride, a natural passive tracer, in rainfall and runoff in catchments [Kirchner et…
Theory of continuum percolation III. Low density expansion
Alon Drory, Brian Berkowitz, Giorgio Parisi +1
We use a previously introduced mapping between the continuum percolation model and the Potts fluid (a system of interacting s-states spins which are free to move in the continuum)…