Order of current variance and diffusivity in the asymmetric simple exclusion process

Details Order of current variance and diffusivity in the asymmetric simple exclusion process Order of current variance and diffusivity in the asymmetric simple exclusion process

2006-08-15

arxiv.org/abs/math/0608400v3

Ann. Math. 171 (2010), No. 2, 1237-1265

Mathematics

Probability

28 pages, revised version after referee's report. A picture is also added now

Scientific paper

We prove that the variance of the current across a characteristic is of order
t^{2/3} in a stationary asymmetric simple exclusion process, and that the
diffusivity has order t^{1/3}. The proof proceeds via couplings to show the
corresponding results for the expected deviations and variance of a second
class particle.

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