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

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.

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Year of publication:	1980
Authors:	Bányai, L. ; Gartner, P.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 102.1980, 2, p. 357-369
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011064332