Maximal mean-field solutions in the random field Ising model: The pattern of the symmetry breaking

M. Guagnelli; E. Marinari; G. Parisi

doi:10.1088/0305-4470/26/21/009

Maximal mean-field solutions in the random field Ising model: The pattern of the symmetry breaking

M. Guagnelli^*
, E. Marinari
, G. Parisi

^*Corresponding author for this work

University of Rome La Sapienza

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

We study the mean-field equations for the 3D random field Ising model. We discuss the phase diagram of the model, and we address the problem of finding if such equations admit more than one solution. We find two different critical values of the temperature T: one where the magnetization takes a non-zero expectation value, and one where we start to have more than one solution to the mean-field equation. We find that, inside a given solution, there are no divergent correlation lengths.

Original language	English
Article number	009
Pages (from-to)	5675-5685
Number of pages	11
Journal	Journal of Physics A: Mathematical and General
Volume	26
Issue number	21
DOIs	https://doi.org/10.1088/0305-4470/26/21/009
State	Published - 1993
Externally published	Yes

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title = "Maximal mean-field solutions in the random field Ising model: The pattern of the symmetry breaking",

abstract = "We study the mean-field equations for the 3D random field Ising model. We discuss the phase diagram of the model, and we address the problem of finding if such equations admit more than one solution. We find two different critical values of the temperature T: one where the magnetization takes a non-zero expectation value, and one where we start to have more than one solution to the mean-field equation. We find that, inside a given solution, there are no divergent correlation lengths.",

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N2 - We study the mean-field equations for the 3D random field Ising model. We discuss the phase diagram of the model, and we address the problem of finding if such equations admit more than one solution. We find two different critical values of the temperature T: one where the magnetization takes a non-zero expectation value, and one where we start to have more than one solution to the mean-field equation. We find that, inside a given solution, there are no divergent correlation lengths.

AB - We study the mean-field equations for the 3D random field Ising model. We discuss the phase diagram of the model, and we address the problem of finding if such equations admit more than one solution. We find two different critical values of the temperature T: one where the magnetization takes a non-zero expectation value, and one where we start to have more than one solution to the mean-field equation. We find that, inside a given solution, there are no divergent correlation lengths.

UR - https://www.scopus.com/pages/publications/21344493432

U2 - 10.1088/0305-4470/26/21/009

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Maximal mean-field solutions in the random field Ising model: The pattern of the symmetry breaking

Abstract

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