English

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

Probability 2009-04-24 v1 Mathematical Physics math.MP

Abstract

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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Cite

@article{arxiv.0707.4491,
  title  = {Non-equilibrium scaling limit for a tagged particle in the simple exclusion process with long jumps},
  author = {Milton D. Jara},
  journal= {arXiv preprint arXiv:0707.4491},
  year   = {2009}
}

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14 pages