Universality in the Three-Dimensional Random-Field Ising Model

Nikolaos G. Fytas, V. Martín-Mayor

Research output: Contribution to journalArticle

50 Citations (Scopus)

Abstract

We solve a long-standing puzzle in statistical mechanics of disordered systems. By performing a high-statistics simulation of the D=3 random-field Ising model at zero temperature for different shapes of the random-field distribution, we show that the model is ruled by a single universality class. We compute the complete set of critical exponents for this class, including the correction-to-scaling exponent, and we show, to high numerical accuracy, that scaling is described by two independent exponents. Discrepancies with previous works are explained in terms of strong scaling corrections.
Original languageEnglish
Article number227201
JournalPhysical Review Letters
Volume110
DOIs
Publication statusPublished - 29 May 2013

Fingerprint

Ising model
exponents
scaling
statistical mechanics
statistics
simulation
temperature

Bibliographical note

The full text is currently unavailable on the repository.

Cite this

Universality in the Three-Dimensional Random-Field Ising Model. / Fytas, Nikolaos G.; Martín-Mayor, V.

In: Physical Review Letters, Vol. 110, 227201, 29.05.2013.

Research output: Contribution to journalArticle

@article{4ada18b5e8b94a7fa7719f2dff9e11aa,
title = "Universality in the Three-Dimensional Random-Field Ising Model",
abstract = "We solve a long-standing puzzle in statistical mechanics of disordered systems. By performing a high-statistics simulation of the D=3 random-field Ising model at zero temperature for different shapes of the random-field distribution, we show that the model is ruled by a single universality class. We compute the complete set of critical exponents for this class, including the correction-to-scaling exponent, and we show, to high numerical accuracy, that scaling is described by two independent exponents. Discrepancies with previous works are explained in terms of strong scaling corrections.",
author = "Fytas, {Nikolaos G.} and V. Mart{\'i}n-Mayor",
note = "The full text is currently unavailable on the repository.",
year = "2013",
month = "5",
day = "29",
doi = "10.1103/PhysRevLett.110.227201",
language = "English",
volume = "110",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",

}

TY - JOUR

T1 - Universality in the Three-Dimensional Random-Field Ising Model

AU - Fytas, Nikolaos G.

AU - Martín-Mayor, V.

N1 - The full text is currently unavailable on the repository.

PY - 2013/5/29

Y1 - 2013/5/29

N2 - We solve a long-standing puzzle in statistical mechanics of disordered systems. By performing a high-statistics simulation of the D=3 random-field Ising model at zero temperature for different shapes of the random-field distribution, we show that the model is ruled by a single universality class. We compute the complete set of critical exponents for this class, including the correction-to-scaling exponent, and we show, to high numerical accuracy, that scaling is described by two independent exponents. Discrepancies with previous works are explained in terms of strong scaling corrections.

AB - We solve a long-standing puzzle in statistical mechanics of disordered systems. By performing a high-statistics simulation of the D=3 random-field Ising model at zero temperature for different shapes of the random-field distribution, we show that the model is ruled by a single universality class. We compute the complete set of critical exponents for this class, including the correction-to-scaling exponent, and we show, to high numerical accuracy, that scaling is described by two independent exponents. Discrepancies with previous works are explained in terms of strong scaling corrections.

U2 - 10.1103/PhysRevLett.110.227201

DO - 10.1103/PhysRevLett.110.227201

M3 - Article

VL - 110

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

M1 - 227201

ER -