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

A. C. D. van Enter·H. G. Schaap
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Abstract

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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A. C. D. van Enter, H. G. Schaap. 2001-12-03. Infinitely many states and stochastic symmetry in a Gaussian Potts-Hopfield model. https://doi.org/10.1088/0305-4470%2F35%2F11%2F305

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