Student Probability Seminar

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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.