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Anomalous non-gaussian diffusion in small disordered rings

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  • Smirnov, Anatoly Yu.
  • Dubkov, Alexander A.

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.

Suggested Citation

  • Smirnov, Anatoly Yu. & Dubkov, Alexander A., 1996. "Anomalous non-gaussian diffusion in small disordered rings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 145-161.
    • Handle: RePEc:eee:phsmap:v:232:y:1996:i:1:p:145-161
    DOI: 10.1016/0378-4371(96)00042-8
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    References listed on IDEAS

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    1. Nelkin, Dorothy & Brown, Michael S., 1984. "Workers At Risk," University of Chicago Press Economics Books, University of Chicago Press, number 9780226571270, January.
    2. Nelkin, Dorothy, 1981. "Some Social and Political Dimensions of Nuclear Power: Examples from Three Mile Island," American Political Science Review, Cambridge University Press, vol. 75(1), pages 132-142, March.
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    Keywords

    Brownian motion; Anomalous diffusion;

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