The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Generalization of the Fortuin-Kasteleyn-Swendsen-Wang representation and Monte Carlo algorithm
Abstract
We give a simple explanation of the Swendsen-Wang algorithm for Potts models in terms of a joint model of Potts spin variables interacting with bond occupation variables. We then show how to generalize this representation, as well as the corresponding Monte Carlo algorithm, to arbitrary models. We give initial results of tests of the new algorithm on the two-dimensional XY model.
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Citations
Cites
Wu, F. Y. (1982) · Reviews of Modern Physics · doi:10.1103/revmodphys.54.235 · Cited by 3,570
Cited by
Richardson, M., & Domingos, P. (2006) · Machine Learning · doi:10.1007/s10994-006-5833-1 · Cited by 2,676
Collective Monte Carlo Updating for Spin Systems
Wolff, U. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.361 · Cited by 2,551
Neal, R. M. (2003) · The Annals of Statistics · doi:10.1214/aos/1056562461 · Cited by 1,361
van Dyk, D. A., & Meng, X.-L. (2001) · Journal of Computational and Graphical Statistics · doi:10.1198/10618600152418584 · Cited by 1,052
Markov chain Monte Carlo method and its application
Brooks, S. (1998) · Journal of the Royal Statistical Society: Series D (The Statistician) · doi:10.1111/1467-9884.00117 · Cited by 843
Metadata
- Authors
- Edwards, R. G., & Sokal, A. D.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1988-09-15
- Volume
- 38
- Issue
- 6
- Pages
- 2009-2012
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2023502716
- Cited by
- 524
- References
- 1
- FWCI
- 3.43
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
