On the Static and Dynamical Transition in the Mean-Field Potts Glass

Details On the Static and Dynamical Transition in the Mean-Field Potts Glass On the Static and Dynamical Transition in the Mean-Field Potts Glass

1994-10-25

arxiv.org/abs/cond-mat/9410093v1

Physics

Condensed Matter

24 pages + 12 figures, LateX, figures uuencoded at the end of file

Scientific paper

We study the static as well as the glassy or dynamical transition in the mean-field $p$-state Potts glass. By numerical solution of the saddle point equations we investigate the static and the dynamical transition for all values of $p$ in the non-perturbative regime $p>4$. The static and dynamical Edwards-Anderson parameter increase with $p$ logarithmically. This makes the glassy transition temperature lie very close to the static one. We compare the main predictions of the theory with the numerical simulations.

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