Anomalous non-gaussian diffusion in small disordered rings

Anatoly Yu. Smirnov and Alexander A. Dubkov

Physica A: Statistical Mechanics and its Applications, 1996, vol. 232, issue 1, 145-161

Abstract: We analyze an equilibrium classical diffusion of a Brownian particle confined to a ring coated on a two-dimensional disordered film. The random potential modeling the interaction with the inhomogeneous medium is assumed to be Gaussian with a finite correlation length. With a microscopic method, we derive the second and fourth cumulant function of the particle's displacement at large times. It is shown that the disorder gives rise to a quadratic time dependence of the fourth cumulant (anomalous non-Gaussian diffusion), whereas the usual diffusion covered by the second cumulant remains normal. This points to the fact that the motion of a Brownian particle along the disordered ring is attended by nonergodic fluctuations in its diffusion coefficient.

Keywords: Brownian motion; Anomalous diffusion (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:232:y:1996:i:1:p:145-161

DOI: 10.1016/0378-4371(96)00042-8

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