Blume-Capel and the Tricritical Point

by Trishen Gunaratnam (University of Geneva)

Friday Mar 24, 2023, 2:00 PM → 3:00 PM Europe/Paris

Amphithéâtre Léon Motchane (IHES)

Probability and analysis informal seminar

The Blume-Capel model is a ferromagnetic spin system which can be thought of as an Ising model on a percolation cluster (with annealed disorder). In the physics literature, it is well-studied due to its surprisingly rich phase diagram: along a line of critical points, there is a tricritical point that marks the boundary between discontinuous and continuous phase transition. The tricritical point in 2 dimensions is particularly interesting, as it is expected to be in a different universality class, connected with the so-called dilute Ising CFT. I'll describe some recent work with D. Krachun and C. Panagiotis where we rigorously establish the existence of at least one tricritical point for Blume in all dimensions. I'll also describe some thoughts towards the tricritical point in 2D.
 

 

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