# Scott Mason: Statistical mechanics and the Ising model

**Time: **
Fri 2019-09-13 13.15 - 14.00

**Lecturer: **
Scott Mason

**Location: **
Room 3418, Lindstedtsvägen 25, 4th floor, Department of Mathematics, KTH

Statistical mechanics as a branch of physics has had great

success as a model for interacting particle systems at equilibrium

and has started yielding fruit in the non-equilibrium setting, it has

also prompted mathematical research into new directions at various

points in history. This talk will consist of an introduction to

statistical mechanics at equilibrium and defining quantities of interest

followed by an analysis of the Ising model on Z^d, the analysis will be

for the 1d case and then a mean-field approximation will be taken for

d>1. Following this we will discuss approaches to the 2d case and a

relatively short duality argument will be given for the existence of the

phase transition, if time permits. This is for a general mathematics PhD

audience and everyone is welcome.