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

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

2001-12-03

arxiv.org/abs/cond-mat/0112025v1

Physics

Condensed Matter

Statistical Mechanics

latex, 17 pages

Scientific paper

10.1088/0305-4470/35/11/305

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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