One-step replica symmetry breaking solution of the quadrupolar glass model
Disordered Systems and Neural Networks
2007-05-23 v2 Statistical Mechanics
Abstract
We consider the quadrupolar glass model with infinite-range random interaction. Introducing a simple one-step replica symmetry breaking ansatz we investigate the para-glass continuous (discontinuous) transition which occurs below (above) a critical value of the quadrupole dimension m*. By using a mean-field approximation we study the stability of the one-step replica symmetry breaking solution and show that for m>m* there are two transitions. The thermodynamic transition is discontinuous but there is no latent heat. At a higher temperature we find the dynamical or glass transition temperature and the corresponding discontinuous jump of the order parameter.
Keywords
Cite
@article{arxiv.cond-mat/0607107,
title = {One-step replica symmetry breaking solution of the quadrupolar glass model},
author = {F. P. Mancini and D. Sherrington},
journal= {arXiv preprint arXiv:cond-mat/0607107},
year = {2007}
}
Comments
10 pages, 3 figures