Non-equilibrium scaling limit for a tagged particle in the simple exclusion process with long jumps

Details Non-equilibrium scaling limit for a tagged particle in the simple exclusion process with long jumps Non-equilibrium scaling limit for a tagged particle in the simple exclusion process with long jumps

2007-07-30

arxiv.org/abs/0707.4491v1

Communication on Pure and Applied Mathematics 62 (2009), no. 2, 198--214

Mathematics

Probability

14 pages

Scientific paper

10.1002/cpa.20253

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.

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