Spin Model for Inverse Melting and Inverse Glass Transition
Statistical Mechanics
2009-11-10 v1 Soft Condensed Matter
Abstract
A spin model that displays inverse melting and inverse glass transition is presented and analyzed. Strong degeneracy of the interacting states of an individual spin leads to entropic preference of the "ferromagnetic" phase, while lower energy associated with the non-interacting states yields a "paramagnetic" phase as temperature decreases. An infinite range model is solved analytically for constant paramagnetic exchange interaction, while for its random exchange, analogous results based on the replica symmetric solution are presented. The qualitative features of this model are shown to resemble a large class of inverse melting phenomena. First and second order transition regimes are identified.
Keywords
Cite
@article{arxiv.cond-mat/0403674,
title = {Spin Model for Inverse Melting and Inverse Glass Transition},
author = {Nurith Schupper and Nadav M. Shnerb},
journal= {arXiv preprint arXiv:cond-mat/0403674},
year = {2009}
}