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arXiv:1709.06594 [math.PR]AbstractReferencesReviewsResources

A Destroying Driven Tagged Particle in Symmetric Simple Exclusion Processes

Zhe Wang

Published 2017-09-19Version 1

We consider the symmetric simple exclusion processes with a destroying tagged particle on Z. In this process, untagged particles disappear once they jump to the left of a tagged particle. We investigate the behavior of the displacement of the tagged particle and prove limit theorems. Martingale arguments and regenerative structures are used with two auxiliary processes.

Comments: 18 pages, 4 figures
Categories: math.PR
Subjects: 60K37, 82C22, 82C44
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