A Bayesian analysis of Monte Carlo correlation times for the two-dimensional Ising model

被引：4

作者：

Arjunwadkar, M

Fasnacht, M

Kadane, JB

Swendsen, RH ^{[1
]}

机构：

[1] Carnegie Mellon Univ, Dept Phys, Pittsburgh, PA 15213 USA

[2] Carnegie Mellon Univ, Dept Stat, Pittsburgh, PA 15213 USA

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2003年 / 323卷

关键词：

Bayesian analysis; dynamic critical exponent; Ising;

D O I：

10.1016/S0378-4371(03)00007-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a new Bayesian analysis of the high-accuracy data of Nightingale and Blote for the correlation times of the two-dimensional Ising model to determine the value of the dynamical critical exponent. We demonstrate the crucial role played by the Nightingale/Blote assumption that odd terms disappear in their expression for the correlation time as a function of the size of the system. We obtain differing results for the existence of logarithmic corrections and the value of the dynamical critical exponent, depending on whether or not that assumption is valid. (C) 2003 Published by Elsevier Science B.V.

引用

页码：487 / 503

页数：17

共 15 条

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