Universal amplitude ratios in the Ising model in three dimensions

A. Gordillo-Guerrero; Ralph Kenna; J. J. Ruiz-Lorenzo

doi:10.1088/1742-5468/2011/09/P09019

Universal amplitude ratios in the Ising model in three dimensions

A. Gordillo-Guerrero, Ralph Kenna, J. J. Ruiz-Lorenzo

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Abstract

We use a high-precision Monte Carlo simulation to determine the universal specific-heat amplitude ratio A + /A − in the three-dimensional Ising model via the impact angle phgr of complex temperature zeros. We also measure the correlation-length critical exponent ν from finite-size scaling and the specific-heat exponent α through hyperscaling. Extrapolations to the thermodynamic limit yield phgr = 59.2(1.0)°, A + /A − = 0.56(3), ν = 0.630 48(32) and α = 0.1086(10). These results are compatible with some previous estimates from a variety of sources and rule out recently conjectured exact values.

Original language	English
Article number	P09019
Journal	Journal of Statistical Mechanics: Theory and Experiment
Volume	2011
DOIs	https://doi.org/10.1088/1742-5468/2011/09/P09019
Publication status	Published - 20 Sep 2011

Bibliographical note

This is an author-created, un-copyedited version of an article 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 http://dx.doi.org/10.1088/1742-5468/2011/09/P09019.

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title = "Universal amplitude ratios in the Ising model in three dimensions",

abstract = "We use a high-precision Monte Carlo simulation to determine the universal specific-heat amplitude ratio A + /A − in the three-dimensional Ising model via the impact angle phgr of complex temperature zeros. We also measure the correlation-length critical exponent ν from finite-size scaling and the specific-heat exponent α through hyperscaling. Extrapolations to the thermodynamic limit yield phgr = 59.2(1.0)°, A + /A − = 0.56(3), ν = 0.630 48(32) and α = 0.1086(10). These results are compatible with some previous estimates from a variety of sources and rule out recently conjectured exact values. ",

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T1 - Universal amplitude ratios in the Ising model in three dimensions

AU - Gordillo-Guerrero, A.

AU - Kenna, Ralph

AU - Ruiz-Lorenzo, J. J.

N1 - This is an author-created, un-copyedited version of an article 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 http://dx.doi.org/10.1088/1742-5468/2011/09/P09019.

PY - 2011/9/20

Y1 - 2011/9/20

N2 - We use a high-precision Monte Carlo simulation to determine the universal specific-heat amplitude ratio A + /A − in the three-dimensional Ising model via the impact angle phgr of complex temperature zeros. We also measure the correlation-length critical exponent ν from finite-size scaling and the specific-heat exponent α through hyperscaling. Extrapolations to the thermodynamic limit yield phgr = 59.2(1.0)°, A + /A − = 0.56(3), ν = 0.630 48(32) and α = 0.1086(10). These results are compatible with some previous estimates from a variety of sources and rule out recently conjectured exact values.

AB - We use a high-precision Monte Carlo simulation to determine the universal specific-heat amplitude ratio A + /A − in the three-dimensional Ising model via the impact angle phgr of complex temperature zeros. We also measure the correlation-length critical exponent ν from finite-size scaling and the specific-heat exponent α through hyperscaling. Extrapolations to the thermodynamic limit yield phgr = 59.2(1.0)°, A + /A − = 0.56(3), ν = 0.630 48(32) and α = 0.1086(10). These results are compatible with some previous estimates from a variety of sources and rule out recently conjectured exact values.

U2 - 10.1088/1742-5468/2011/09/P09019

DO - 10.1088/1742-5468/2011/09/P09019

M3 - Article

VL - 2011

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

SN - 1742-5468

M1 - P09019

ER -

Universal amplitude ratios in the Ising model in three dimensions

Abstract

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