On the critical exponent α of the 5D random-field Ising model

Nikolaos Fytas, Victor Martin-Mayor, Giorgio Parisi, Marco Picco, Nicolas Sourlas

Research output: Contribution to journalArticle

Abstract

We present a complementary estimation of the critical exponent α of the specific heat of the 5D random-field Ising model from zero-temperature numerical simulations. Our result α = 0.12(2) is consistent with the estimation coming from the modified hyperscaling relation and provides additional evidence in favor of the recently proposed restoration of dimensional reduction in the random-field Ising model at D = 5.

Original languageEnglish
Article number093203
Number of pages11
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2019
Issue number9
DOIs
Publication statusPublished - 3 Sep 2019

Fingerprint

Critical Exponents
Random Field
Ising model
Ising Model
exponents
Dimensional Reduction
Specific Heat
Restoration
restoration
specific heat
Numerical Simulation
Zero
simulation
temperature
Random field
Evidence
Temperature
Numerical simulation

Bibliographical note

This is an author-created, un-copyedited version of an article accepted for publication/published in Journal of Statistical Mechanics: Theory and Experiment IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://dx.doi.org/10.1088/1742-5468/ab3987

Keywords

  • classical phase transitions
  • critical exponents and amplitudes
  • finite-size scaling
  • numerical simulations

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this

On the critical exponent α of the 5D random-field Ising model. / Fytas, Nikolaos; Martin-Mayor, Victor; Parisi, Giorgio; Picco, Marco; Sourlas, Nicolas.

In: Journal of Statistical Mechanics: Theory and Experiment, Vol. 2019, No. 9, 093203, 03.09.2019.

Research output: Contribution to journalArticle

Fytas, Nikolaos ; Martin-Mayor, Victor ; Parisi, Giorgio ; Picco, Marco ; Sourlas, Nicolas. / On the critical exponent α of the 5D random-field Ising model. In: Journal of Statistical Mechanics: Theory and Experiment. 2019 ; Vol. 2019, No. 9.
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