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Existence of a plateau for the flux of tasep with site disorder

Research paper by C Bahadoran, T Bodineau

Indexed on: 22 Feb '16Published on: 22 Feb '16Published in: Mathematics - Probability



Abstract

We prove that the flux function of the totally asymmetric simple exclusion process (TASEP) with site-disorder exhibits a plateau for sufficiently dilute disorder. The result is established under a decay assumption of the maximum current in finite boxes, which is implied in particular by a sufficiently slow power tail assumption on the disorder distribution near its minimum. To circumvent the absence of explicit invariant measures, we use a renormalization procedure and some ideas inspired by homogenization. MSC: 60K35, 60K37, 82C22