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American Journal of Physics
written by David P. Landau, Shan-Ho Tsai, and M. Exler
The authors describe a Monte Carlo algorithm for sampling the density of states directly by doing a random walk in energy space. The probability of a microstate is computed at any temperature by weighting the density of states by the appropriate Boltzmann factor. Thermodynamic properties can be determined from derivatives of the partition function and the free energy and entropy can also be computed directly. The method is illustrated by applying it to several lattice models that exhibit first-order or continuous order phase transitions.
American Journal of Physics: Volume 72, Issue 10, Pages 1294-1302
Subjects Levels Resource Types
Thermo & Stat Mech
- Phase Transitions
= Continuous Transitions
= First-Order Transitions
- Probability
= Random Walks
- Upper Undergraduate
- Reference Material
= Article
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Available by subscription
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© 2004 American Journal of Physics
Additional information is available.
DOI:
10.1119/1.1707017
Keywords:
Monte Carlo, density of states, phase transitions
Record Cloner:
Metadata instance created June 29, 2011 by Harvey Gould
Record Updated:
June 29, 2011 by Harvey Gould
Last Update
when Cataloged:
February 20, 2004
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Record Link
AIP Format
D. Landau, S. Tsai, and M. Exler, , Am. J. Phys. 72 (10), 1294 (2004), WWW Document, (https://doi.org/10.1119/1.1707017).
AJP/PRST-PER
D. Landau, S. Tsai, and M. Exler, A new approach to Monte Carlo simulations in statistical physics: Wang-Landau sampling, Am. J. Phys. 72 (10), 1294 (2004), <https://doi.org/10.1119/1.1707017>.
APA Format
Landau, D., Tsai, S., & Exler, M. (2004, February 20). A new approach to Monte Carlo simulations in statistical physics: Wang-Landau sampling. Am. J. Phys., 72(10), 1294-1302. Retrieved April 25, 2024, from https://doi.org/10.1119/1.1707017
Chicago Format
Landau, D, S. Tsai, and M. Exler. "A new approach to Monte Carlo simulations in statistical physics: Wang-Landau sampling." Am. J. Phys. 72, no. 10, (February 20, 2004): 1294-1302, https://doi.org/10.1119/1.1707017 (accessed 25 April 2024).
MLA Format
Landau, David P., Shan-Ho Tsai, and Matthias Exler. "A new approach to Monte Carlo simulations in statistical physics: Wang-Landau sampling." Am. J. Phys. 72.10 (2004): 1294-1302. 25 Apr. 2024 <https://doi.org/10.1119/1.1707017>.
BibTeX Export Format
@article{ Author = "David P. Landau and Shan-Ho Tsai and Matthias Exler", Title = {A new approach to Monte Carlo simulations in statistical physics: Wang-Landau sampling}, Journal = {Am. J. Phys.}, Volume = {72}, Number = {10}, Pages = {1294-1302}, Month = {February}, Year = {2004} }
Refer Export Format

%A David P. Landau %A Shan-Ho Tsai %A Matthias Exler %T A new approach to Monte Carlo simulations in statistical physics: Wang-Landau sampling %J Am. J. Phys. %V 72 %N 10 %D February 20, 2004 %P 1294-1302 %U https://doi.org/10.1119/1.1707017 %O application/pdf

EndNote Export Format

%0 Journal Article %A Landau, David P. %A Tsai, Shan-Ho %A Exler, Matthias %D February 20, 2004 %T A new approach to Monte Carlo simulations in statistical physics: Wang-Landau sampling %J Am. J. Phys. %V 72 %N 10 %P 1294-1302 %8 February 20, 2004 %U https://doi.org/10.1119/1.1707017


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