In this talk I will discuss two versions of the famous Blume Capel model, one with random crystal field disorder and another with random magnetic field disorder for infinite range interactions.
I will introduce a method based on the theory of large deviations to perform the disorder averaging. We find novel phase diagrams with new phases and multi-critical points like the critical end point, bicritical point and tetra critical point. I will also discuss a generalisation of the Blume-Capel model to p-spin interaction. This model with random crystal field disorder has a Gardner-like transition for finite p>=3.
Go to day