A phase transition for q-TASEP with a few slower particles

Guillaume Barraquand

Stochastic Processes and their Applications, 2015, vol. 125, issue 7, 2674-2699

Abstract: We consider a q-TASEP model started from step initial condition where all but finitely many particles have speed 1 and a few particles are slower. It is shown in Ferrari and Veto (2013) that the rescaled particles position of q-TASEP with identical hopping rates obeys a limit theorem à la Tracy–Widom. We adapt this work to the case of different hopping rates and show that one observes the so-called BBP transition. Our proof is a refinement of Ferrari–Vető’s and does not require any condition on the parameter q nor the macroscopic position of particles.

Keywords: Interacting particle systems; KPZ universality class; Tracy–Widom distribution; Phase transition (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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DOI: 10.1016/j.spa.2015.01.009

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