Generalized model for dynamic percolation

O. Bénichou*, J. Klafter, M. Moreau, G. Oshanin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The dynamics of a carrier performing a biased motion due to an external field in a 3D environment, modeled by dynamic percolation and created by hard-core particles, were analyzed. Based on the decomposition of the third-order correlation functions, an approximate closure scheme was used to derive a system of coupled discrete-space equations that describe the evolution of the density profiles of the environment as observed from the moving carrier and its velocity Vc. The Vc was found to depend on the density of the environment particles in front of and past the carrier. The equation which defines the force-velocity relation for the dynamic percolation under study simplifies considerably in the limit of small applied electric field.

Original languageEnglish
Pages (from-to)3327-3339
Number of pages13
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume62
Issue number3 A
DOIs
StatePublished - Sep 2000

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