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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
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![]() <a href="https://www.compadre.org/portal/items/detail.cfm?ID=11280">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.</a>
![]() D. Landau, S. Tsai, and M. Exler, , Am. J. Phys. 72 (10), 1294 (2004), WWW Document, (https://doi.org/10.1119/1.1707017).
![]() 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>.
![]() 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 February 18, 2025, from https://doi.org/10.1119/1.1707017
![]() 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 18 February 2025).
![]() 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. 18 Feb. 2025 <https://doi.org/10.1119/1.1707017>.
![]() @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}
}
![]() %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 ![]() %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 Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
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