Search Results (All Fields:"Brownian motion") - e-spacio
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Universidad Nacional de EducaciÃ³n a DistanciaspFez 2.1 RC3http://blogs.law.harvard.edu/tech/rssCoarse-graining Brownian motion : from particles to a discrete diffusion equation
http://e-spacio.uned.es/fez/view/bibliuned:master-Ciencias-FSC-Jadelatorre
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 field2014-03-25T21:35:12Z
Torre RodrÃguez, Jaime Arturo de la