Non-equilibrium scaling limit for a tagged particle in the simple exclusion process with long jumps
arXiv:0707.4491 · doi:10.1002/cpa.20253
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.
14 pages