One-dimensional lattices topologically equivalent to three-dimensional lattices within the context of the lattice gas model

E.F. Costanza and G. Costanza

Physica A: Statistical Mechanics and its Applications, 2017, vol. 481, issue C, 41-51

Abstract: Continuum partial differential equations are obtained from a set of discrete stochastic evolution equations of both non-Markovian and Markovian processes and applied to the diffusion on a cubic lattice within the context of the lattice gas model. A procedure allowing to construct one-dimensional lattices that are topologically equivalent to a cubic three-dimensional lattice is described in detail using a successive “unfolding” process. This example shows some new features that possess the procedure and extensions are also suggested in order to provide some another uses of the present approach.

Keywords: Stochastics evolution equations; Non-Markovian processes; Lattice gas model (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:481:y:2017:i:c:p:41-51

DOI: 10.1016/j.physa.2017.04.010

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