English

"Spherical" 3-State Potts Spin Glass: Exact Solution

Statistical Mechanics 2007-05-23 v1 Disordered Systems and Neural Networks

Abstract

A continuous 3-state Potts model with an analog of spherical constraints is proposed and is shown to have an exact solution in the case of infinite-ranged interactions. "Spherical" 3-state Potts spin glass model is solved using the known properties of a large random matrix. For this model the results are identical to those obtained by the replica approach for replica symmetric solution.

Keywords

Cite

@article{arxiv.cond-mat/0404609,
  title  = {"Spherical" 3-State Potts Spin Glass: Exact Solution},
  author = {N. V. Gribova and V. N. Ryzhov and E. E. Tareyeva},
  journal= {arXiv preprint arXiv:cond-mat/0404609},
  year   = {2007}
}

Comments

8 pages, no figures