English

The Glassy Potts Model

Disordered Systems and Neural Networks 2008-12-18 v1 Statistical Mechanics High Energy Physics - Theory

Abstract

We introduce a Potts model with quenched, frustrated disorder, that enjoys of a gauge symmetry that forbids spontaneous magnetization, and allows the glassy phase to extend from TcT_c down to T=0. We study numerical the 4 dimensional model with q=4q=4 states. We show the existence of a glassy phase, and we characterize it by studying the probability distributions of an order parameter, the binder cumulant and the divergence of the overlap susceptibility. We show that the dynamical behavior of the system is characterized by aging.

Keywords

Cite

@article{arxiv.cond-mat/9805300,
  title  = {The Glassy Potts Model},
  author = {E. Marinari and S. Mossa and G. Parisi},
  journal= {arXiv preprint arXiv:cond-mat/9805300},
  year   = {2008}
}

Comments

4 pages including 4 (color) ps figures (all on page 4)