On the connection between the macroscopical and microscopical evolution in an exactly soluble hopping model

L. Bányai and P. Gartner

Physica A: Statistical Mechanics and its Applications, 1980, vol. 102, issue 2, 357-369

Abstract: The hopping rate equation for neutral particles, on an arbitrary periodical lattice, can be solved exactly. It is shown that if one scales the time t and the distances x(t→λ2t, x→λx) then, in the λ→∞ limit, the particle density tends to the solution of the diffusion equation faster than λ−3. The diffusion coefficient is the same as obtained from both Kubo and Miller-Abrahams theory via the Einstein relation.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:102:y:1980:i:2:p:357-369

DOI: 10.1016/0378-4371(80)90141-7

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