Nonequilibrium scaling limit for a tagged particle in the simple exclusion process with long jumps

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Probabilités et mathématiques appliquées
Sujet
fractional Laplacian; hydrody namic limit; Lévy process; simple exclusion; Tagged particle
Journal issue
Communications on Pure and Applied Mathematics;0010-3640
Volume
62
Number
2
Publication date
02-2009
Article pages
198–214
Publisher
WIley
DOI
http://dx.doi.org/10.1002/cpa.20253
URI
https://basepub.dauphine.fr/handle/123456789/17454
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Author
Jara, Milton
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Type
Article accepté pour publication ou publié
Abstract (EN)
We prove an invariance principle for a tagged particle in a simple exclusion process out of equilibrium. The scaling limit is a time-inhomogeneous process of independent increments, related to the solution of a fractional heat equation.