Physical review. E, Statistical, nonlinear, andâ€¦

2012

Renormalization-group operators are used to classify stochastic processes on two time scales. Repeated application of one operator is associated with the long-time behavior of the process while theâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2005

A finite-size (or scale) Lyapunov exponent (FSLE), lambdaa(x), is presented in a statistical mechanical framework and employed to characterize mixing in a variety of laboratory and computationalâ€¦ (More)

Monte Carlo and molecular dynamics methods have been used to study the shearing behavior of an atomic fluid between two plane-parallel solid surfaces having the face-centered cubic (100) structure. Aâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2009

If the mean-square displacement of a stochastic process is proportional to t;{beta} , beta not equal1 , then it is said to be anomalous. We construct a family of Markovian stochastic processes withâ€¦ (More)

Self-motile particles, such as microbes, that can preferentially orient their microscale movement are embedded in a multiscale anisotropic porous medium. Such an environment is consistent with mostâ€¦ (More)

Computer simulation of root nutrient uptake has become a very powerfull tool in the analysis of plant and soil characteristics. One of the shortcomings of earlier numerical models is the lack of aâ€¦ (More)

Microbial motility is often characterized by â€˜run and tumbleâ€™ behavior which consists of bacteria making sequences of runs followed by tumbles (random changes in direction). As a superset of Brownianâ€¦ (More)

Hybrid mixture theory, HMT, consists of classical mixture theory applied to a multiphase system with volume averaged eld equations. HMT is applicable to a multi-phase mixture in which theâ€¦ (More)