Critical Slowing Down of Cluster Algorithms for Ising Models Coupled to 2-d Gravity

E. Marinari; G. Harris; M. Bowick; M. Falcioni

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Critical Slowing Down of Cluster Algorithms for Ising Models Coupled to 2-d Gravity

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arxiv hep-lat/9311036 v1 pith:TNWWWT7J submitted 1993-11-23 hep-lat cond-mat

Critical Slowing Down of Cluster Algorithms for Ising Models Coupled to 2-d Gravity

M. Bowick , M. Falcioni , G. Harris , E. Marinari This is my paper

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keywords algorithmsclustercoupledcriticaldowngravityisingmodels

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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.

Critical Slowing Down of Cluster Algorithms for Ising Models Coupled to 2-d Gravity

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