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New Monte Carlo technique for studying phase transitions
Abstract
We present a new method for using the data from Monte Carlo simulations that can increase the efficiency by 2 or more orders of magnitude. A single Monte Carlo simulation is sufficient to obtain complete thermodynamic information over the entire scaling region near a phase transition. The accuracy of the method is demonstrated by comparison with exact results for the d=2 Ising model. New results for d=2 eight-state Potts model are also presented. The method is generally applicable to statistical models and lattice-gauge theories.
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Cited by
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Self-citationLaio, A., & Gervasio, F. L. (2008) · Reports on Progress in Physics · doi:10.1088/0034-4885/71/12/126601 · Cited by 1,619
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Onuchic, J. N., Wolynes, P. G., Luthey-Schulten, Z., & Socci, N. D. (1995) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.92.8.3626 · Cited by 523
Metadata
- Authors
- Ferrenberg, A. M., & Swendsen, R. H.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1988-12-05
- Volume
- 61
- Issue
- 23
- Pages
- 2635-2638
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2027384625
- Cited by
- 2,673
- References
- 0
- FWCI
- 12.62
- Type
- journal article
- Language
- en
- Open access
- closed
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- Ferrenberg, A. M., & Swendsen, R. H. (1988). New Monte Carlo technique for studying phase transitions. Physical Review Letters. https://doi.org/10.1103/physrevlett.61.2635
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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.