The stationary measure of a 2-type totally asymmetric exclusion process. (English) Zbl 1087.60067
Summary: We give a combinatorial description of the stationary measure for a totally asymmetric exclusion process (TASEP) with second class particles, on either \(\mathbb Z\) or on the cycle \(\mathbb Z_{N}\). The measure is the image by a simple operation of the uniform measure on some larger finite state space. This reveals a combinatorial structure at work behind several results on the TASEP with second class particles.
MSC:
| 60K35 | Interacting random processes; statistical mechanics type models; percolation theory |
| 60C05 | Combinatorial probability |
| 60K25 | Queueing theory (aspects of probability theory) |
Keywords:
exclusion processReferences:
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