Alexander Povolotsky(National Research University Higher School of Economics & Joint Institute for Nuclear Research)
Thu, Jan 28

We describe interacting particle models with product stationary measure, which can be solved by the coordinate Bethe anstaz. In the talk we show how to obtain very general family of such models, and review its particular cases. In the second part of the talk we concentrate on the results obtained for the particular model from this family, TASEP with generalized update. This model is the two-parametric generalization of the TASEP equipped with an additional interaction controlling the clustering of particles. We describe a transition from the KPZ universality to formation of a macroscopic jam.