Alexander Povolotsky

Generalized TASEP between KPZ and jamming regimes.

Totally Asymmetric Simple Exclusion Process (TASEP) with generalized update is an integrable stochastic model of interacting particles, which differs from the standard TASEP by the presence of an additional interaction controlling the degree of particle clustering. As the strength of the interaction varies, the system suffers the transition from the regime in which the fluctuations of the particle flow are described by standard random processes associated with the Kardar-Parisi-Zhang (KPZ) universality class, to the jamming regime, in which all particles stick to one cluster and move synchronously as the simple random walk. I will focus on the limiting laws of fluctuations of distances travelled by tagged particles both in the KPZ and in the transitional regime for two types of initial conditions. In particular new transitional processes interpolating between the known limiting cases will be discussed.