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arXiv · 1208.5357

Two Speed TASEP with Step Initial Condition

Jen Keng OYoung
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Abstract

In this paper, we consider zero range process with an initial condition which is equivalent to step initial condition in total asymmetric simple exclusion process (TASEP) as described in a paper by Rákos, A. and Schütz by using techniques developed by Borodin, Ferrari, and Sasamoto. The solution for the transition probability of total asymmetric simple exclusion process for particles with different hopping rates was first worked out by Schütz and Rakös (2005) for the case when $p=1$ or $q=1$. The formula was later applied to analyze two speed TASEP (Borodin, Ferrari, and Sasamoto, 2009) with alternating initial condition. Here we will investigate the two speed TASEP case with step initial condition.

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Jen Keng OYoung. 2012-09-15. Two Speed TASEP with Step Initial Condition. https://arxiv.org/abs/1208.5357

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