We consider the infinite-range deterministic spin models with Hamiltonian H = ni,j=1 Ji,j i j , where J is the quantization of a chaotic map of the torus. The mean-field Thouless - Anderson - Palmer (TAP) equations are derived by summing the high-temperature expansion. They predict a glassy phase transition at the critical temperature T near 0.8.
Deterministic spin models with a glassy phase transition / I., Borsari; M., DEGLI ESPOSTI; S., Graffi; Unguendoli, Francesco. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - STAMPA. - 30:(1997), pp. L155-L159.
Deterministic spin models with a glassy phase transition
UNGUENDOLI, Francesco
1997
Abstract
We consider the infinite-range deterministic spin models with Hamiltonian H = ni,j=1 Ji,j i j , where J is the quantization of a chaotic map of the torus. The mean-field Thouless - Anderson - Palmer (TAP) equations are derived by summing the high-temperature expansion. They predict a glassy phase transition at the critical temperature T near 0.8.
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