Article ID Journal Published Year Pages File Type
5102778 Physica A: Statistical Mechanics and its Applications 2017 11 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Authors
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