The Blume-Capel model is a ferromagnetic spin model that was introduced in the '60s to model an exotic phase transition in uranium oxide. Mathematically speaking, it is an Ising model coupled to a site percolation, combining two of the most beautiful models in statistical physics. It has a line of critical points - the Curie temperatures whereby the magnetisation-demagnetisation transition occurs. Along this critical line, the model is expected to undergo a further phase transition at the so-called tricritical point. Despite many fascinating physics conjectures concerning the tricritical universality class, there are few rigorous results. In the first part of the talk, I will discuss these conjectures and touch upon recent results joint with Dmitry Krachun (Princeton University) and Christoforos Panagiotis (University of Bath) in establishing the existence of a tricritical phenomenon in all dimensions. This will be accessible to all. In the second part of the talk, I will explain the juice of the proof.
Zoom link: https://us02web.zoom.us/j/88670406480
Meeting ID: 886 7040 6480
This is part of the Bangalore Probability Seminar Series. For details of past and upcoming seminars kindly see Link