NONLOCAL MONTE-CARLO ALGORITHMS FOR STATISTICAL PHYSICS APPLICATIONS

Authors
Citation
W. Janke, NONLOCAL MONTE-CARLO ALGORITHMS FOR STATISTICAL PHYSICS APPLICATIONS, Mathematics and computers in simulation, 47(2-5), 1998, pp. 329-346
Citations number
157
Categorie Soggetti
Mathematics,"Computer Science Interdisciplinary Applications","Computer Science Software Graphycs Programming",Mathematics,"Computer Science Interdisciplinary Applications","Computer Science Software Graphycs Programming
ISSN journal
03784754
Volume
47
Issue
2-5
Year of publication
1998
Pages
329 - 346
Database
ISI
SICI code
0378-4754(1998)47:2-5<329:NMAFSP>2.0.ZU;2-8
Abstract
After a brief general overview of Monte Carlo computer simulations in statistical physics, special emphasis is placed on applications to pha se transitions and critical phenomena. Here, standard simulations empl oying local update algorithms are severely hampered by the problem of critical slowing down, that is by strong correlations between successi vely generated data It is shown that this problem can be greatly reduc ed by using nonlocal update techniques such as cluster and multigrid a lgorithms. The general ideas are illustrated for simple lattice spin m odels and Euclidean path integrals. (C) 1998 IMACS/ Elsevier Science B .V.