A note on the diffusivity of finite-range asymmetric exclusion processes on Z

zbMATH Open1173.82341arXiv0705.2416MaRDI QIDQ3537745

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Publication date: 10 November 2008

Abstract: The diffusivity $D(t)$ of finite-range asymmetric exclusion processes on $mathbbZ$ with non-zero drift is expected to be of order $t^{1/3}$. Sepp"{a}l"ainen and Bal'azs recently proved this conjecture for the nearest neighbor case. We extend their results to general finite range exclusion by proving that the Laplace transform of the diffusivity is of the conjectured order. We also obtain a pointwise upper bound for $D(t)$ the correct order.

Full work available at URL: https://arxiv.org/abs/0705.2416

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