# Student Probability Seminar

#### Static and Dynamical Phase Transitions of the 2D Potts Model

Speaker: Reza Gheissari

Location: Warren Weaver Hall 1314

Date: Tuesday, October 4, 2016, 2 p.m.

Synopsis:

We introduce the two-dimensional $$q$$ state Potts model, a generalization of the Ising model to $$q$$ possible states. At critical temperature $$\beta_c(q)$$, the model has a very rich phase transition that is continuous (second order) for $$q\leq 4$$ and believed to be discontinuous for $$q>4$$. We discuss the different phase transitions of the model. First we present recent results of Beffara and Duminil-Copin and Duminil-Copin, Sidoravicius, and Tassion identifying the critical temperature and the continuity of the phase transition for $$q\leq 4$$, including the expected conformal invariance. We then discuss how features of the static phase transition emerge in a parallel dynamical phase transition.