A phase transition for -TASEP with a few slower particles
arXiv:1404.7409 · doi:10.1016/j.spa.2015.01.009
Abstract
We consider a -TASEP model started from step initial condition where all but finitely many particles have speed and a few particles are slower. It is shown in [9] that the rescaled particles position of -TASEP with identical hopping rates obeys a central 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-Vetö's and does not require any condition on the parameter nor the macroscopic position of particles.
27 pages, 5 figures
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