Limit law of a second class particle in TASEP with non-random initial condition Preprint


Author(s): Ferrari, Patrick L; Nejjar, Peter; Ghosal, Promit
Title: Limit law of a second class particle in TASEP with non-random initial condition
Affiliation IST Austria
Abstract: We consider the totally asymmetric simple exclusion process (TASEP) with non-random initial condition having density ρ on ℤ− and λ on ℤ+, and a second class particle initially at the origin. For ρ<λ, there is a shock and the second class particle moves with speed 1−λ−ρ. For large time t, we show that the position of the second class particle fluctuates on a t1/3 scale and determine its limiting law. We also obtain the limiting distribution of the number of steps made by the second class particle until time t.
Publication Title: ArXiv
Publisher: ArXiv  
Date Published: 2018-05-22
URL:
Open access: yes (repository)