Title: Dynamical phase transitions for the 2D Potts model
Speaker: Eyal Lubetzky (Courant Institute, New York University)
Abstract: The Potts model and its special case, the Ising model, are one of the most studied models in mathematical physics, tracing back to the 1920’s with the motivation of modeling ferromagnetism. In the classical 2D setting, the model assigns one of q possible colors to the sites of the square grid according to a given probability distribution, which is a function of the number of neighboring sites whose spins agree, as well as the temperature. A focal point of the study of the model has been the critical temperature, where the phase transition in the static model is accompanied by a dynamical phase transition for the natural stochastic processes that model its evolution, as well as provide efficient methods for sampling. I will survey the recent developments on understanding this dynamical phase transition, which subtly depends on the number of colors q and the boundary conditions.
Colloquium URL: https://web.math.osu.edu/colloquium/
