Publicación: Coarse-graining Brownian motion : from particles to a discrete diffusion equation
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2010-10-13
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Atribución-NoComercial-SinDerivadas 4.0 Internacional
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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Universidad Nacional de Educación a Distancia (España). Facultad de Ciencias
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We consider a recently obtained coarse-grained discrete equation for the diffusion of Brownian particles. The detailed level of description is governed by a Brownian dynamics of non-interacting particles. The coarse-level is described by discrete concentration variables defined in terms of the Delaunay cell. These coarse variables obey a stochastic differential equation that can be understood as a discrete version of a diffusion equation. The diffusion equation contains two basic building blocks which are the entropy function and the friction matrix. The entropy function is shown to be non-additive due to the overlapping of cells in the Delaunay construction. The friction matrix is state dependent in principle, but for near-equilibrium situations it is shown that it may safely evaluated at the equilibrium value of the density field
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Facultad de Ciencias
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Física Fundamental