2004•arXiv (Cornell University)Open access

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

N. V. Gribova, Ryzhov, V. N., Tareyeva, E. E.

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.

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Key concepts: Replica, Potts model, Chiral Potts curve, Spin glass, Replica trick, State (computer science), Spin (aerodynamics), Exact solutions in general relativity