37 citations · 144 across the 12 of their papers we have counts for
3 papers · 1 filter
Ginzburg-Landau Polynomials and the Asymptotic Behavior of the Magnetization Near Critical and Tricritical Points
Richard S. Ellis, Jonathan Machta, Peter Tak-Hun Otto
For the mean-field version of an important lattice-spin model due to Blume and Capel, we prove unexpected connections among the asymptotic behavior of the magnetization, the struct…
Multiple critical behavior of probabilistic limit theorems in the neighborhood of a tricritical point
Marius Costeniuc, Richard S. Ellis, Peter Tak-Hun Otto
We derive probabilistic limit theorems that reveal the intricate structure of the phase transitions in a mean-field version of the Blume-Emery-Griffiths model. These probabilistic…
Analysis of phase transitions in the mean-field Blume-Emery-Griffiths model
R. S. Ellis, P. Otto, H. Touchette
In this paper we give a complete analysis of the phase transitions in the mean-field Blume-Emery-Griffiths lattice-spin model with respect to the canonical ensemble, showing both a…