A Monte Carlo Study of Subdiffusive Displacements of Interacting Particles in a Percolating System

Document Type

Article

Publication Date

12-15-1992

Department

Physics and Astronomy

School

Mathematics and Natural Sciences

Abstract

A computer-simulation model is introduced to study the transport properties of interacting particles of concentration p in a percolating system near the percolation threshold. A nearest neighbor interaction is considered among the particles and the accessible sites of the percolating substrate. The transport behviour is found to be concentration p and temperature (T) limited in a specific p-T regime. The subdiffusive behaviour at high temperatures seems consistent with the anomalous diffusion of a noninteracting lattice gas. The rms displacement seems consistent with the anomalous diffusion of a noninteracting lattice gas. The rms displacement of the particles (Rtr) exhibits ultra-slow power-law diffusion at low temperatures at a moderate concentration p. The rms displacement of the center of mass of the particles (Rcm) on the other hand shows a diffusion like power-law behaviour before it saturates in a certain temperature regime.

Publication Title

Physica A: Statistical Mechanics and its Applications

Volume

191

Issue

1-4

First Page

438

Last Page

441

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