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

P. Ferrari, P. Nejjar, P. Ghosal, ArXiv (2018).

Preprint | Published | English
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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.
Publishing Year
Date Published
2018-05-22
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ArXiv
IST-REx-ID

Cite this

Ferrari P, Nejjar P, Ghosal P. Limit law of a second class particle in TASEP with non-random initial condition. ArXiv. 2018.
Ferrari, P., Nejjar, P., & Ghosal, P. (2018). Limit law of a second class particle in TASEP with non-random initial condition. ArXiv. ArXiv.
Ferrari, Patrick, Peter Nejjar, and Promit Ghosal. “Limit Law of a Second Class Particle in TASEP with Non-Random Initial Condition.” ArXiv. ArXiv, 2018.
P. Ferrari, P. Nejjar, and P. Ghosal, “Limit law of a second class particle in TASEP with non-random initial condition,” ArXiv. ArXiv, 2018.
Ferrari P, Nejjar P, Ghosal P. 2018. Limit law of a second class particle in TASEP with non-random initial condition. ArXiv.
Ferrari, Patrick, et al. “Limit Law of a Second Class Particle in TASEP with Non-Random Initial Condition.” ArXiv, ArXiv, 2018.

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