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Deterministic spin models with a glassy phase transition

I. Borsari·M. Degli esposti·S. Graffi·F. Unguendoli
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Abstract

We consider the infinite-range deterministic spin models with Hamiltonian $H=\sum_{i,j=1}^N J_{i,j}σ_iσ_j$, where $J$ is the quantization of a chaotic map of the torus. The mean field (TAP) equations are derived by summing the high temperature expansion. They predict a glassy phase transition at the critical temperature $T\sim 0.8$.

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I. Borsari, M. Degli esposti, S. Graffi, F. Unguendoli. 1996-05-24. Deterministic spin models with a glassy phase transition. https://doi.org/10.1088/0305-4470%2F30%2F7%2F002

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