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

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

doi:10.1088/1742-5468/ab3987

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

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

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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 language	English
Article number	093203
Number of pages	11
Journal	Journal of Statistical Mechanics: Theory and Experiment
Volume	2019
Issue number	9
DOIs	https://doi.org/10.1088/1742-5468/ab3987
Publication status	Published - 3 Sept 2019

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

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10.1088/1742-5468/ab3987

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Cite this

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AU - Fytas, Nikolaos

AU - Martin-Mayor, Victor

AU - Parisi, Giorgio

AU - Picco, Marco

AU - Sourlas, Nicolas

N1 - 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

PY - 2019/9/3

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N2 - 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.

AB - 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.

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KW - critical exponents and amplitudes

KW - finite-size scaling

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JO - Journal of Statistical Mechanics: Theory and Experiment

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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