Scaling limits of a tagged particle in the exclusion process with variable diffusion coefficient
arXiv:0804.3018 · doi:10.1007/s10955-008-9595-y
Abstract
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.
9 pages