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.
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页数:16
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