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Microscopic Structure of Travelling Waves in the Asymmetric Simple Exclusion Process

Microscopic Structure of Travelling Waves in the Asymmetric Simple Exclusion Process

The one-dimensional nearest neighbor asymmetric simple exclusion process has been used as a microscopic approximation for the Burgers equation. This equation has travelling wave solutions. In this paper we show that those solutions have a microscopic structure. More precisely, we consider the simple exclusion process with rate $p$ (respectively, $q …