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27 May 2020
  » arxiv » cond-mat/0506029

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Microscopic Model of Charge Carrier Transfer in Complex Media
O.Benichou ; J.Klafter ; M.Moreau ; G.Oshanin ;
Date 1 Jun 2005
Subject Statistical Mechanics; Soft Condensed Matter | cond-mat.stat-mech cond-mat.soft
Affiliation1,3) ( LPTMC, University Paris 6, France; School of Chemistry, Tel Aviv University, Israel; Department of Inhomogeneous Condensed Matter Theory, Max-Planck-Institut Stuttgart, Germany
AbstractWe present a microscopic model of a charge carrier transfer under an action of a constant electric field in a complex medium. Generalizing previous theoretical approaches, we model the dynamical environment hindering the carrier motion by dynamic percolation, i.e., as a medium comprising particles which move randomly on a simple cubic lattice, constrained by hard-core exclusion, and may spontaneously annihilate and re-appear at some prescribed rates. We determine analytically the density profiles of the "environment" particles, as seen from the stationary moving charge carrier, and calculate its terminal velocity as the function of the applied field and other system parameters. We realize that for sufficiently small external fields the force exerted on the carrier by the "environment" particles shows a viscous-like behavior and define an analog of the Stokes formula for such dynamic percolative environments. The corresponding friction coefficient is also derived.
Source arXiv, cond-mat/0506029
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