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

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  • Costanza, E.F.
  • Costanza, G.

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.

Suggested Citation

  • Costanza, E.F. & Costanza, G., 2016. "One-dimensional lattices topologically equivalent to two-dimensional lattices within the context of the lattice gas model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 459(C), pages 32-41.
    • Handle: RePEc:eee:phsmap:v:459:y:2016:i:c:p:32-41
    DOI: 10.1016/j.physa.2016.04.016
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