Infinitely many states and stochastic symmetry in a Gaussian Potts-Hopfield model

A.C.D. van Enter; H.G. Schaap

arxiv: cond-mat/0112025 · v1 · submitted 2001-12-03 · ❄️ cond-mat.stat-mech · cond-mat.dis-nn

Infinitely many states and stochastic symmetry in a Gaussian Potts-Hopfield model

A.C.D. van Enter , H.G. Schaap This is my paper

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

keywords modelgaussianpotts-hopfieldspinsstochasticsymmetrybeyondbreaking

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We study a Gaussian Potts-Hopfield model. Whereas for Ising spins and two disorder variables per site the chaotic pair scenario is realized, we find that for q-state Potts spins [{q(q-1} \over 2]-tuples occur. Beyond the breaking of a continous stochastic symmetry, we study the fluctuations and obtain the Newman-Stein metastate description for our model.

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Infinitely many states and stochastic symmetry in a Gaussian Potts-Hopfield model

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