Dynamical critical behaviours of the Ising spin chain: Swendsen-Wang and Wolff algorithms

被引：2

作者：

Krapivsky, PL ^{[1
]}

机构：

[1] Boston Univ, Ctr Polymer Studies, Boston, MA 02215 USA

[2] Boston Univ, Dept Phys, Boston, MA 02215 USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2004年 / 37卷 / 27期

关键词：

D O I：

10.1088/0305-4470/37/27/004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the zero-temperature Ising chain evolving according to the SwendsenWang dynamics. We determine analytically the domain length distribution and various 'historical' characteristics, e.g. the density of unreacted domains is shown to scale with the average domain length as <1>(-delta) with delta = = 3/2 (for the q-state Potts model, delta = 1 + q(-1)). We also compute the domain length distribution for the Ising chain endowed with the zero-temperature Wolff dynamics.

引用

页码：6917 / 6927

页数：11

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