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

Márton Balázs; Timo Seppäläinen

doi:http://doi.org/10.4007/annals.2010.171.1237

Abstract

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 moment bounds for a second class particle.

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

Abstract

Authors