Universal amplitude ratios in the Ising model in three dimensions

被引：4

作者：

Gordillo-Guerrero, A. ^{[1
,2
]}

Kenna, R. ^{[3
]}

Ruiz-Lorenzo, J. J. ^{[2
,4
]}

机构：

[1] Univ Extremadura, Dept Ingn Elect Elect & Automat, E-10071 Caceres, Spain

[2] Inst Biocomp & Fis Sistemas Complejos BIFI, E-50009 Zaragoza, Spain

[3] Coventry Univ, Appl Math Res Ctr, Coventry CV1 5FB, W Midlands, England

[4] Univ Extremadura, Dept Fis, E-06071 Badajoz, Spain

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2011年

关键词：

classical Monte Carlo simulations; classical phase transitions (theory); critical exponents and amplitudes (theory); finite-size scaling; KALLEN-LEHMAN APPROACH; CRITICAL EXPONENTS; PARTITION-FUNCTION; CRITICAL-BEHAVIOR; COMPLEX ZEROS; CONJECTURES;

D O I：

10.1088/1742-5468/2011/09/P09019

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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 phi of complex temperature zeros. We also measure the correlation-length critical exponent nu from finite-size scaling and the specific-heat exponent a through hyperscaling. Extrapolations to the thermodynamic limit yield phi = 59.2(1.0)degrees, A(+)/A(-) = 0.56(3), nu = 0.630 48(32) and alpha = 0.1086(10). These results are compatible with some previous estimates from a variety of sources and rule out recently conjectured exact values.

引用

页数：16

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