The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Applications of Monte Carlo methods to statistical physics
Open accessAbstract
An introductory review of the Monte Carlo method for the statistical mechanics of condensed matter systems is given. Basic principles (random number generation, simple sampling versus importance sampling, Markov chains and master equations, etc) are explained and some classical applications (self-avoiding walks, percolation, the Ising model) are sketched. The finite-size scaling analysis of both second- and first-order phase transitions is described in detail, and also the study of surface and interfacial phenomena as well as the choice of appropriate boundary conditions is discussed. Only brief comments are given on topics such as applications to dynamic phenomena, quantum problems, and recent algorithmic developments (new sampling schemes based on reweighting techniques, nonlocal updating, parallelization, etc). The techniques described are exemplified with many illustrative applications.
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Cites
Equation of State Calculations by Fast Computing Machines
Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., & Teller, E. (1953) · The Journal of Chemical Physics · doi:10.1063/1.1699114 · Cited by 37,192
Computer Simulation of Liquids
Allen, M. P., & Tildesley, D. J. (2017) · doi:10.1093/oso/9780198803195.001.0001 · Cited by 20,945
Metropolis, N., & Ulam, S. (1949) · Journal of the American Statistical Association · doi:10.1080/01621459.1949.10483310 · Cited by 6,474
Dynamics of entangled linear polymer melts: A molecular-dynamics simulation
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Monte Carlo simulations: Hidden errors from ‘‘good’’ random number generators
Ferrenberg, A. M., Landau, D. P., & Wong, Y. J. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.3382 · Cited by 437
Cited by
Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems
Helton, J. C., & Davis, F. J. (2003) · Reliability Engineering & System Safety · doi:10.1016/s0951-8320(03)00058-9 · Cited by 2,688
Complex multi-enhancer contacts captured by genome architecture mapping
Beagrie, R. A., Scialdone, A., Schueler, M., Kraemer, D. C. A., Chotalia, M., Xie, S. Q., Barbieri, M., de Santiago, I., Lavitas, L.-M., Branco, M. R., et al. (2017) · Nature · doi:10.1038/nature21411 · Cited by 715
Finite-size scaling at first-order phase transitions
Binder, K., & Landau, D. P. (1984) · Physical Review B · doi:10.1103/physrevb.30.1477 · Cited by 631
Self-citationSimple models for complex nonequilibrium fluids
KROGER, M. (2004) · Physics Reports · doi:10.1016/j.physrep.2003.10.014 · Cited by 302
Hydration repulsion between biomembranes results from an interplay of dehydration and depolarization
Schneck, E., Sedlmeier, F., & Netz, R. R. (2012) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1205811109 · Cited by 163
Metadata
- Authors
- Binder, K.
- Venue
- Reports on Progress in Physics
- Publisher
- IOP Publishing
- Published
- 1997-05-01
- Volume
- 60
- Issue
- 5
- Pages
- 487-559
- ISSN
- 0034-4885 (ISSN-L)
- 1361-6633
- OpenAlex
- W2139231693
- Cited by
- 644
- References
- 7
- FWCI
- 8.31
- Type
- journal article
- Language
- en
- Open access
- bronze
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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.
