On Lattice Gas Models For Disordered Systems
Statistical Mechanics
2009-10-30 v1 Disordered Systems and Neural Networks
Abstract
We consider a Lattice Gas model in which the sites interact via infinite-ranged random couplings independently distributed with a Gaussian probability density. This is the Lattice Gas analogue of the well known Sherrington-Kirkpatrick Ising Spin Glass. We present results of replica approach in the Replica Symmetric approximation. Even with zero-mean of the couplings a line of first order liquid-gas transitions occurs. Replica Symmetry Breaking should give up to a glassy transition inside the liquid phase.
Cite
@article{arxiv.cond-mat/9710334,
title = {On Lattice Gas Models For Disordered Systems},
author = {Francesco M. Russo},
journal= {arXiv preprint arXiv:cond-mat/9710334},
year = {2009}
}
Comments
9 Pages, LaTeX file, no Figures; Submitted to Physics Letters