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

E.F. Costanza and G. Costanza

Physica A: Statistical Mechanics and its Applications, 2016, vol. 459, issue C, 32-41

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 within the context of the lattice gas model. A procedure allowing to construct one-dimensional lattices that are topologically equivalent to two-dimensional lattices is described in detail in the case of a rectangular lattice. This example shows the general features that possess the procedure and extensions are also suggested in order to provide a wider insight in the present approach.

Keywords: Discrete stochastic evolution equation; Lattice gas model; Non-Markovian processes (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:459:y:2016:i:c:p:32-41

DOI: 10.1016/j.physa.2016.04.016

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