We consider the infinite-range spin models with Hamiltonian H = ni,j=1 Ji,j i j , where J is the quantization of a map of the torus. Although deterministic, these models are known to exhibit glassy behaviour. We show, through explicit computation of the Gibbs free energy, that unlike the random case this behaviour disappears in the corresponding spherical and continuous XY models. The only minimum of the Gibbs free energy is indeed the trivial one, even though the ground state is highly degenerate.

Absence of glassy behaviour in the deterministic spherical and XY models / I., Borsari; F., Camia; S., Graffi; Unguendoli, Francesco. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - STAMPA. - 31:(1998), pp. 1127-1139.

Absence of glassy behaviour in the deterministic spherical and XY models.

UNGUENDOLI, Francesco
1998

Abstract

We consider the infinite-range spin models with Hamiltonian H = ni,j=1 Ji,j i j , where J is the quantization of a map of the torus. Although deterministic, these models are known to exhibit glassy behaviour. We show, through explicit computation of the Gibbs free energy, that unlike the random case this behaviour disappears in the corresponding spherical and continuous XY models. The only minimum of the Gibbs free energy is indeed the trivial one, even though the ground state is highly degenerate.
31
1127
1139
Absence of glassy behaviour in the deterministic spherical and XY models / I., Borsari; F., Camia; S., Graffi; Unguendoli, Francesco. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - STAMPA. - 31:(1998), pp. 1127-1139.
I., Borsari; F., Camia; S., Graffi; Unguendoli, Francesco
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/613359
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