On the anomalous diffusion behavior in disordered media

K.G. Wang

Physica A: Statistical Mechanics and its Applications, 1992, vol. 182, issue 1, 1-8

Abstract: A particle diffusing in a disordered medium with a Gaussian distribution of potential well depths is studied. The transition rates are related to the random potentials in the well-known Arrhenius form. A log-normal distribution of transition rates is naturally established. Finally, we show that the behaviour of diffusing particles in the one-dimensional case can be expressed as ln 〈X2〉1/2 ∼ (kT/σ)2(ln t)2, when kT/σ ∠ 1 (low temperature), where σ, T and k are the variance of the Gaussian distribution, the absolute temperature and the Boltzmann constant, respectively. When kT/σ ∠ 1 (high temperature) the normal type of diffusion behavior is exhibited. The anomalous types of diffusion behavior associated with higher dimensions are also investigated.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:182:y:1992:i:1:p:1-8

DOI: 10.1016/0378-4371(92)90224-E

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