English

Superdiffusivity of asymmetric exclusion process in dimensions one and two

Probability 2007-05-23 v1 Mathematical Physics math.MP

Abstract

We prove that the diffusion coefficient for the asymmetric exclusion process diverges at least as fast as t1/4t^{1/4} in dimension d=1d=1 and (logt)1/2(\log t)^{1/2} in d=2d=2. The method applies to nearest and non-nearest neighbor asymmetric exclusion processes.

Keywords

Cite

@article{arxiv.math/0201317,
  title  = {Superdiffusivity of asymmetric exclusion process in dimensions one and two},
  author = {C. Landim and J. Quastel and M. Salmhofer and H. T. Yau},
  journal= {arXiv preprint arXiv:math/0201317},
  year   = {2007}
}
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