Infinitely many states and stochastic symmetry in a Gaussian Potts-Hopfield model
arXiv:cond-mat/0112025 · doi:10.1088/0305-4470/35/11/305
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.
latex, 17 pages