English

The Spin Glass Phase in the Four-State, Three-Dimensional Potts Model

Disordered Systems and Neural Networks 2009-05-08 v2 Statistical Mechanics

Abstract

We perform numerical simulations, including parallel tempering, on the Potts glass model with binary random quenched couplings using the JANUS application-oriented computer. We find and characterize a glassy transition, estimating the location of the transition and the value of the critical exponents. We show that there is no ferromagnetic transition in a large temperature range around the glassy critical temperature. We also compare our results with those obtained recently on the "random permutation" Potts glass.

Keywords

Cite

@article{arxiv.0812.1287,
  title  = {The Spin Glass Phase in the Four-State, Three-Dimensional Potts Model},
  author = {A. Cruz and L. A. Fernandez and A. Gordillo-Guerrero and M. Guidetti and A. Maiorano and F. Mantovani and E. Marinari and V. Martin-Mayor and A. Munoz Sudupe and D. Navarro and G. Parisi and S. Perez-Gaviro and J. J. Ruiz-Lorenzo and S. F. Schifano and D. Sciretti and A. Tarancon and R. Tripiccione and J. L. Velasco and D. Yllanes and A. P. Young},
  journal= {arXiv preprint arXiv:0812.1287},
  year   = {2009}
}

Comments

7 pages and 3 figures. Corrected minor typos

R2 v1 2026-06-21T11:49:01.842Z