TY - JOUR
AB - 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.
AU - Ferrari, Patrick
AU - Ghosal, Promit
AU - Nejjar, Peter
ID - 72
IS - 3
JF - Annales de l'institut Henri Poincare (B) Probability and Statistics
SN - 02460203
TI - Limit law of a second class particle in TASEP with non-random initial condition
VL - 55
ER -