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arxiv: cond-mat/0404609 · v1 · submitted 2004-04-26 · ❄️ cond-mat.stat-mech · cond-mat.dis-nn

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

classification ❄️ cond-mat.stat-mech cond-mat.dis-nn
keywords modelpottssolutionsphericalstateexactglassreplica
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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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