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20 September 2020
 
  » arxiv » 0804.3018

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Scaling limits of a tagged particle in the exclusion process with variable diffusion coefficient
Milton Jara ; Patricia Goncalves ;
Date 18 Apr 2008
AbstractWe 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.
Source arXiv, 0804.3018
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