Metastable states and innocent replica theory in an Ising spin glass

S. A. Roberts

doi:10.1088/0022-3719/14/21/018

Metastable states and innocent replica theory in an Ising spin glass

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Abstract

The metastable states of the Sherrington-Kirkpatrick model at T=0 are investigated within the 'innocent replica' framework, i.e. within a replica formalism without replica symmetry breaking. The density of metastable states is evaluated in the presence of an external magnetic field, and the energy and distribution of internal fields of the ground state calculated, as a function of the external field. These are found to be in good agreement with the data of Bantilan and Palmer (1980) and Palmer and Pond (1979).

Original language	English
Article number	018
Pages (from-to)	3015-3025
Number of pages	10
Journal	Journal of Physics C: Solid State Physics
Volume	14
Issue number	21
DOIs	https://doi.org/10.1088/0022-3719/14/21/018
Publication status	Published - 1981

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10.1088/0022-3719/14/21/018

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title = "Metastable states and innocent replica theory in an Ising spin glass",

abstract = "The metastable states of the Sherrington-Kirkpatrick model at T=0 are investigated within the 'innocent replica' framework, i.e. within a replica formalism without replica symmetry breaking. The density of metastable states is evaluated in the presence of an external magnetic field, and the energy and distribution of internal fields of the ground state calculated, as a function of the external field. These are found to be in good agreement with the data of Bantilan and Palmer (1980) and Palmer and Pond (1979).",

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year = "1981",

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AU - Roberts, S. A.

PY - 1981

Y1 - 1981

N2 - The metastable states of the Sherrington-Kirkpatrick model at T=0 are investigated within the 'innocent replica' framework, i.e. within a replica formalism without replica symmetry breaking. The density of metastable states is evaluated in the presence of an external magnetic field, and the energy and distribution of internal fields of the ground state calculated, as a function of the external field. These are found to be in good agreement with the data of Bantilan and Palmer (1980) and Palmer and Pond (1979).

AB - The metastable states of the Sherrington-Kirkpatrick model at T=0 are investigated within the 'innocent replica' framework, i.e. within a replica formalism without replica symmetry breaking. The density of metastable states is evaluated in the presence of an external magnetic field, and the energy and distribution of internal fields of the ground state calculated, as a function of the external field. These are found to be in good agreement with the data of Bantilan and Palmer (1980) and Palmer and Pond (1979).

U2 - 10.1088/0022-3719/14/21/018

DO - 10.1088/0022-3719/14/21/018

M3 - Article

SN - 0022-3719

VL - 14

SP - 3015

EP - 3025

JO - Journal of Physics C: Solid State Physics

JF - Journal of Physics C: Solid State Physics

IS - 21

M1 - 018

ER -

Metastable states and innocent replica theory in an Ising spin glass

Abstract

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