Analysis Seminar – Anthony Walter

When:
May 4, 2016 @ 3:30 pm – 4:30 pm
2016-05-04T15:30:00-10:00
2016-05-04T16:30:00-10:00
Where:
Keller 401

Speaker: Anthony Walter, University of Hawaii

Title: Introduction to the Ising model.

Abstract: We will define the Ising model, one of the simplest statistical mechanics
models which exhibits a phase transition. We are looking at a configuration
space on a discrete finite lattice, which is extended to the infinite lattice limit. Depending on some boundary conditions and a parameter $\beta$, in two or more dimensions it can be shown there is a phase transition from a disordered to an ordered phase. In particular we will look at the ferromagnetic case with positive boundary conditions.
We will prove a lower bound of the critical phase transition point.