Shock Fluctuations in TASEP

Időpont: 
2017. November 02. 16:15
Helyszín: 
Building H room 306
Kategória: 
Előadás
Szervezés: 
BME-egyetem
Kapcsolattartó: 
Department of Stochastics

Lecturer: Peter Nejjar (IST Austria)
We consider the totally asymmetric simple exclusion process (TASEP) with a non-random initial condition that has a discontinuity (shock) in the particle density. If one inserts a "second class particle" in the system, it will follow the shock. For large time t, we show that the position of the second class particle fluctuates on the t^{1/3} scale and we determine its limiting law. Joint work with Patrik Ferrari and  Promit Ghosal.