Coarse-graining Brownian motion : from particles to a discrete diffusion equation

Torre Rodríguez, Jaime Arturo de la. (2010). Coarse-graining Brownian motion : from particles to a discrete diffusion equation Master Thesis, Universidad Nacional de Educación a Distancia (España). Facultad de Ciencias

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Título Coarse-graining Brownian motion : from particles to a discrete diffusion equation
Autor(es) Torre Rodríguez, Jaime Arturo de la
Abstract 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
Notas adicionales Trabajo de Fin de Máster. Máster Universitario en Física de Sistemas Complejos. UNED
Materia(s) Física
Editor(es) Universidad Nacional de Educación a Distancia (España). Facultad de Ciencias
Director/Tutor Español Garrigós, Pep (Tutor)
Fecha 2010-10-13
Formato application/pdf
Identificador http://e-spacio.uned.es/fez/view/bibliuned:master-Ciencias-FSC-Jadelatorre
bibliuned:master-Ciencias-FSC-Jadelatorre
Idioma eng
Versión de la publicación acceptedVersion
Nivel de acceso y licencia http://creativecommons.org/licenses/by-nc-nd/4.0
info:eu-repo/semantics/openAccess
Tipo de recurso master Thesis
Tipo de acceso Acceso abierto

 
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Creado: Tue, 25 Mar 2014, 12:35:12 CET