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. 103, issue 1, 119-139

Abstract: 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.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:103:y:1980:i:1:p:119-139

DOI: 10.1016/0378-4371(80)90210-1

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