The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
Monte Carlo Calculations for Hard Disks in the Isothermal-Isobaric Ensemble
Abstract
The N p T ensemble for hard disks is formulated as an equivalent N V T ensemble for a pseudopotential interaction in a reduced configuration space, with exact relations for small periodic systems emphasized. The Monte Carlo method originally devised by Metropolis et al. is then adapted to the calculation of the equation of state and radial distribution function. The present paper then describes some results obtained for a small system (12 hard disks), as an example of the method, and with emphasis upon the statistical reliability of the results and on the effect of different pseudorandom-number-generating procedures. At least for such small systems it is possible to obtain, as a byproduct, the N V T -ensemble equation of state over a range of densities from an N p T -ensemble calculation at a single pressure. Subsequent papers will describe results already in hand for larger systems, including reasonably reliable extrapolations to the “thermodynamic” limit.
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Cites
Handbook of Mathematical Functions
McQuarrie, D. A. (1966) · American Journal of Physics · doi:10.1119/1.1972842 · Cited by 40,433
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
Doob, J. L., & Doob, J. L. (1953) · CERN Document Server (European Organization for Nuclear Research) · Cited by 9,053
Hammersley, J. M., & Handscomb, D. C. (1964) · Springer eBooks · doi:10.1007/978-94-009-5819-7 · Cited by 4,054
Methods in Computational Physics
Alder, B., Fernbach, S., Rotenberg, M., & Gillis, J. (1964) · Physics Today · doi:10.1063/1.3051748 · Cited by 2,207
Statistical Theory with Engineering Applications
Hald, A., & Friedman, B. (1953) · Physics Today · doi:10.1063/1.3061079 · Cited by 1,529
Phase Transition in Elastic Disks
Alder, B. J., & Wainwright, T. E. (1962) · Physical Review · doi:10.1103/physrev.127.359 · Cited by 784
Zassenhaus, H., & Rogers, C. A. (1966) · The American Mathematical Monthly · doi:10.2307/2315450 · Cited by 576
Wood, W. W., & Parker, F. R. (1957) · The Journal of Chemical Physics · doi:10.1063/1.1743822 · Cited by 456
Self-citationHull, T. E., & Dobell, A. R. (1962) · SIAM Review · doi:10.1137/1004061 · Cited by 333
Cited by
Computer Simulation of Liquids
Allen, M. P., & Tildesley, D. J. (2017) · doi:10.1093/oso/9780198803195.001.0001 · Cited by 20,945
What is "liquid"? Understanding the states of matter
Barker, J. A., & Henderson, D. (1976) · Reviews of Modern Physics · doi:10.1103/revmodphys.48.587 · Cited by 2,104
Metadata
- Authors
- Wood, W. W.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1968-01-01
- Volume
- 48
- Issue
- 1
- Pages
- 415-434
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W1980464260
- Cited by
- 260
- References
- 15
- FWCI
- 4.24
- Type
- journal article
- Language
- en
- Open access
- closed
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