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

Jara, Milton, Nonequilibrium scaling limit for a tagged particle in the simple exclusion process with long jumps, Communications on Pure and Applied Mathematics;0010-3640, 62, 2, p. 198–214. 10.1002/cpa.20253

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Article accepté pour publication ou publié
Journal name
Communications on Pure and Applied Mathematics;0010-3640
Volume
62
Number
2
Publisher
WIley
Pages
198–214
Publication identifier
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Author(s)
Jara, Milton
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
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.
Subjects / Keywords
fractional Laplacian; hydrody namic limit; Lévy process; simple exclusion; Tagged particle