Title

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

Author(s)/Creator(s)

Mark Bowick, Department of Physics, Syracuse University, Syracuse, NYFollow
Marco Falcioni, Syracuse University
Geoffrey Harris, Syracuse University
Enzo Marinari, Syracuse University

Document Type

Article

Date

11-23-1993

Language

English

Disciplines

Physics

Description/Abstract

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.

Additional Information

7 pages including 5 postscript figures, epsf.sty latex More information at http://arxiv.org/abs/hep-lat/9311036

Recommended Citation

Bowick, Mark; Falcioni, Marco; Harris, Geoffrey; and Marinari, Enzo, "Critical Slowing Down of Cluster Algorithms for Ising Models Coupled to 2-d Gravity" (1993). Physics - All Scholarship. 173.
https://surface.syr.edu/phy/173

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.