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

The hopping rate equation for charged particles with self-consistent Coulomb interaction on an arbitrary periodic lattice can be solved exactly. It is shown that if one scales the time t and the distances x (including the characteristic length l = [(e2/ϵ0)∂n0/∂μ]−12)as t → λ2t, x → λx, then in the λ → ∞ limit the charge density and the potential tend to their macroscopical electrodynamic counterparts faster than λ−3 and λ−1, respectively.

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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. 103.1980, 1, p. 119-139
Publisher:	Elsevier

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

Persistent link: https://www.econbiz.de/10011061556