Cusp singularity in mean field Ising model
Mathematical Physics
2017-10-25 v1 Statistical Mechanics
math.MP
Abstract
An entropy of the Ising model in the mean field approximation is derived by the Hamilton-Jacobi formalism. We consider a grand canonical ensemble with respect to the temperature and the external magnetic field. A cusp arises at the critical point, which shows a simple and new geometrical aspect of this model. In educational sense, this curve with a cusp helps students acquire a more intuitive view on statistical phase transitions.
Cite
@article{arxiv.1702.02338,
title = {Cusp singularity in mean field Ising model},
author = {Yayoi Abe and Muneyuki Ishida and Erika Nozawa and Takayoshi Ootsuka and Ryoko Yahagi},
journal= {arXiv preprint arXiv:1702.02338},
year = {2017}
}
Comments
14 pages, 8 figures