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

Goncalves, Patricia;Jara, Milton
(2008) Journal of Statistical Physics —

Files

pdfdocument.pdf
  • Restricted Access
  • Adobe PDF
  • 296.76 KB
Request a copy

Details

Authors
  • Goncalves, Patricia
    Author
  • Jara, MiltonUCLouvain
    Author
Abstract
We prove a law of large numbers and a central limit theorem for a tagged particle in a symmetric simple exclusion process in Z 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.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Goncalves, P., & Jara, M. (2008). Scaling limits of a tagged particle in the exclusion process with variable diffusion coefficient. Journal of Statistical Physics. https://doi.org/10.1007/s10955-008-9595-y