Deterministic spin models with a glassy phase transition

Details Deterministic spin models with a glassy phase transition Deterministic spin models with a glassy phase transition

1996-05-23

arxiv.org/abs/cond-mat/9605149v2

Physics

Condensed Matter

8 pages, no figures, RevTex format

Scientific paper

10.1088/0305-4470/30/7/002

We consider the infinite-range deterministic spin models with Hamiltonian
$H=\sum_{i,j=1}^N J_{i,j}\sigma_i\sigma_j$, 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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