TY - JOUR
T1 - Critical slowing down of cluster algorithms for Ising models coupled to 2-d gravity
AU - Bowick, Mark
AU - Falcioni, Marco
AU - Harris, Geoffrey
AU - Marinari, Enzo
N1 - Funding Information:
This work has been done with NPAC (Northeast Parallel Architectures Center) and CASE computing facilities. We would like to thank John Apostolakis, Simon Catterall and Paul Coddington for helpful correspondence and conversations. MF wishes to thank G. Thorleifsson for stimulating discussions. The research of MB was supported by the Department of Energy Outstanding Junior Investigator Grant DOE DE-FG02-85ER40231, that of MF by funds from NPAC and that of GH by research funds from Syracuse University.
PY - 1994/2/24
Y1 - 1994/2/24
N2 - 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.
AB - 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.
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U2 - 10.1016/0370-2693(94)91159-2
DO - 10.1016/0370-2693(94)91159-2
M3 - Article
AN - SCOPUS:14044261707
SN - 0370-2693
VL - 322
SP - 316
EP - 322
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 4
ER -