van Enter, A. C. D.; Schaap, H. G. Infinitely many states and stochastic symmetry in a Gaussian Potts-Hopfield model. (English) Zbl 1002.82008 J. Phys. A, Math. Gen. 35, No. 11, 2581-2592 (2002). Summary: 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 \(q(q-1)\)-tuples occur. Beyond the breaking of a continuous stochastic symmetry, we study the fluctuations and obtain the Newman-Stein metastate description for our model. Cited in 2 Documents MSC: 82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics 82B44 Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics Keywords:Gaussian Potts-Hopfield model; Ising spins; Potts spins PDFBibTeX XMLCite \textit{A. C. D. van Enter} and \textit{H. G. Schaap}, J. Phys. A, Math. Gen. 35, No. 11, 2581--2592 (2002; Zbl 1002.82008) Full Text: DOI arXiv