3 years ago

Some conditional probabilities in the TASEP with second class particles.

Eunghyun Lee, arXiv:1705.10544

In this paper we consider the TASEP with second class particles with the initial order is such that $k$ first class particles are located to the left of $N-k$ second class particles. Under this assumption of the initial state of order, we find the probability that the first class particles are at $x,x+1,\cdots, x+k-1$ and the first class particles are still located to the left of all second class particles at later time $t$. Moreover, we obtain an explicit formula of this probability for the step initial condition. This probability generalizes a result for $k=1$ in Lee (arXiv:1705.10544).

Publisher URL: http://arxiv.org/abs/1707.02539

DOI: arXiv:1707.02539v2

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