Weighted mean-field theory for the random field Ising model

D. Lancaster; E. Marinari; G. Parisi

doi:10.1088/0305-4470/28/14/015

Weighted mean-field theory for the random field Ising model

D. Lancaster^*
, E. Marinari
, G. Parisi

^*Corresponding author for this work

University of Rome La Sapienza

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

21 Scopus citations

Abstract

We consider the mean-field theory of the random field Ising model obtained by weighing the many solutions of the mean-field equations with Boltzmann-like factors. These solutions are found numerically in three dimensions and we observe critical behaviour arising from the weighted sum. We estimate the exponents.

Original language	English
Article number	015
Pages (from-to)	3959-3973
Number of pages	15
Journal	Journal of Physics A: Mathematical and General
Volume	28
Issue number	14
DOIs	https://doi.org/10.1088/0305-4470/28/14/015
State	Published - 1995
Externally published	Yes

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title = "Weighted mean-field theory for the random field Ising model",

abstract = "We consider the mean-field theory of the random field Ising model obtained by weighing the many solutions of the mean-field equations with Boltzmann-like factors. These solutions are found numerically in three dimensions and we observe critical behaviour arising from the weighted sum. We estimate the exponents.",

author = "D. Lancaster and E. Marinari and G. Parisi",

year = "1995",

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AU - Lancaster, D.

AU - Marinari, E.

AU - Parisi, G.

PY - 1995

Y1 - 1995

N2 - We consider the mean-field theory of the random field Ising model obtained by weighing the many solutions of the mean-field equations with Boltzmann-like factors. These solutions are found numerically in three dimensions and we observe critical behaviour arising from the weighted sum. We estimate the exponents.

AB - We consider the mean-field theory of the random field Ising model obtained by weighing the many solutions of the mean-field equations with Boltzmann-like factors. These solutions are found numerically in three dimensions and we observe critical behaviour arising from the weighted sum. We estimate the exponents.

UR - https://www.scopus.com/pages/publications/21844481940

U2 - 10.1088/0305-4470/28/14/015

DO - 10.1088/0305-4470/28/14/015

M3 - 文章

AN - SCOPUS:21844481940

SN - 0305-4470

VL - 28

SP - 3959

EP - 3973

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 14

M1 - 015

ER -

Weighted mean-field theory for the random field Ising model

Abstract

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