# Baxter's book - "Exactly Solved Models in Statistical Mechanics"

#### by Jan de Gier

Institution: Department of Mathematics and Statistics, The University of Melbourne
Date: Tue 16th November 2010
Time: 1:00 PM
Location: Room 213, Richard Berry Building, The Univesity of Melbourne

Abstract: I will discuss explicit solutions to the integral equations for the largest eigenvalue of the transfer matrix that resulted from the Bethe Ansatz in the thermodynamic limit. In particular we will compute the residual entropy of square ice (i.e. the number of ways to place arrows on the square lattice satisfying the ice rule). The solution will depend non-analytically on the anisotropy parameter $\Delta$, giving rise to a non-trivial phase diagram. We'll cover sections 8.8 of Baxter's book.