Scaling limits of a tagged particle in the exclusion process with variable diffusion coefficient

Details Scaling limits of a tagged particle in the exclusion process with variable diffusion coefficient Scaling limits of a tagged particle in the exclusion process with variable diffusion coefficient

2008-04-18

arxiv.org/abs/0804.3018v1

Journal of Statistical Physics 132 (2008), no.6, 1135--1143

Physics

Condensed Matter

Statistical Mechanics

9 pages

Scientific paper

10.1007/s10955-008-9595-y

We prove a law of large numbers and a central limit theorem for a tagged particle in a symmetric simple exclusion process in the one-dimensional lattice with variable diffusion coefficient. The scaling limits are obtained from a similar result for the current through -1/2 for a zero-range process with bond disorder. For the CLT, we prove convergence to a fractional Brownian motion of Hurst exponent 1/4.

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