Anomalous diffusion and charge relaxation on comb model: exact solutions

V.e Arkhincheev

Physica A: Statistical Mechanics and its Applications, 2000, vol. 280, issue 3, 304-314

Abstract: The random walks on the comb structure are considered. It is shown that due to fingers a diffusion has an anomalous character, that is an r.m.s. displacement depends on time by a power way with exponent 12. The generalized diffusion equation for an anomalous case is deduced. It essentially differs from a usual diffusion equation in the continuity equation form: instead of the first time derivative, the time derivative of fractal order 12 appears. In the second part the charge relaxation on the comb structure is studied. A non-Maxwell character is established. The reason is that the electric field has three components, but a charge may relax only along some conducting lines.

Date: 2000
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:280:y:2000:i:3:p:304-314

DOI: 10.1016/S0378-4371(99)00593-2

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