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

Marton Balazs; Timo Seppalainen

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

Marton Balazs·Timo Seppalainen

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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 results for the expected deviations and variance of a second class particle.

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Marton Balazs, Timo Seppalainen. 2008-02-05. Order of current variance and diffusivity in the asymmetric simple exclusion process. https://arxiv.org/abs/math/0608400

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