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arXiv · 1610.04601

Height fluctuations of stationary TASEP on a ring in relaxation time scale

Zhipeng Liu
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Abstract

We consider the totally asymmetric simple exclusion process on a ring with stationary initial conditions. The crossover between KPZ dynamics and equilibrium dynamics occurs when time is proportional to the $3/2$ power of the ring size. We obtain the limit of the height function along the direction of the characteristic line in this time scale. The two-point covariance function in this scale is also discussed.

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Zhipeng Liu. 2016-10-14. Height fluctuations of stationary TASEP on a ring in relaxation time scale. https://arxiv.org/abs/1610.04601

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