CRITICAL SLOWING-DOWN OF CLUSTER ALGORITHMS FOR ISING-MODELS COUPLED TO 2-D GRAVITY

被引:5
作者
BOWICK, M
FALCIONI, M
HARRIS, G
MARINARI, E
机构
[1] UNIV ROMA TOR VERGATA,DIPARTIMENTO FIS,I-00133 ROME,ITALY
[2] UNIV ROMA TOR VERGATA,INFN,I-00133 ROME,ITALY
[3] SYRACUSE UNIV,NPAC,SYRACUSE,NY 13244
关键词
D O I
10.1016/0370-2693(94)91159-2
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We simulate single and multiple Ising models coupled to 2-d gravity using both the Swendsen-Wang and Wolff algorithms to update the spins. We study the integrated autocorrelation time and find that there is considerable critical slowing down, particularly in the magnetization. We argue that this is primarily due to the local nature of the dynamical triangulation algorithm and to the generation of a distribution of baby universes which inhibits cluster growth.
引用
收藏
页码:316 / 322
页数:7
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