Three-dimensional ising model in the fixed-magnetization ensemble:: A Monte Carlo study

被引:19
作者
Blöte, HWJ
Heringa, JR
Tsypin, MM
机构
[1] Delft Univ Technol, Fac Appl Phys, NL-2600 GA Delft, Netherlands
[2] PN Lebedev Phys Inst, Dept Theoret Phys, Moscow 117924, Russia
关键词
D O I
10.1103/PhysRevE.62.77
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We study the three-dimensional Ising model at the critical point in the fixed-magnetization ensemble, by means of the recently developed geometric cluster Monte Carlo algorithm. We define a magnetic-field-like quantity in terms of microscopic spin-up and spin-down probabilities in a given configuration of neighbors. In the thermodynamic limit, the relation between this field and the magnetization reduces to the canonical relation M(h). However, for finite systems, the relation is different. We establish a close connection between this relation and the probability distribution of the magnetization of a finite-size system in the canonical ensemble.
引用
收藏
页码:77 / 82
页数:6
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