Hydrodynamic limit of gradient exclusion processes with conductances on $\bb Z^d$

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dc.creatorValentim, Fabio J.
dc.date2009-03-28
dc.date.accessioned2026-07-07T12:57:40Z
dc.date.available2026-07-07T12:57:40Z
dc.descriptionFix a smooth function $Φ: [l,r] \to \bb R$, defined on some interval $[l,r]$ of $\bb R$, such that $0<b \le Φ'\le b^{-1}$. We prove that the evolution, on the diffusive scale, of the empirical density of exclusion processes in $\bb Z^d$, with conductances given by special class of functions $W$, is described by the weak solutions of the non-linear parabolic partial differential equation $\partial_t ρ= \sum_{k=1}^d (d/dx_k)(d/dW_k)Φ(ρ)$. We also derive some properties of the operator $\sum^d_{k=1}(d/dx_k)(d/dW_k)$.
dc.identifierhttps://arxiv.org/abs/0903.4993
dc.identifierhttp://arxiv.org/abs/0903.4993
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225011
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K35, 26A24, 35K55, 82C44
dc.titleHydrodynamic limit of gradient exclusion processes with conductances on $\bb Z^d$
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