Wang-Landau method: Difference between revisions

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The Wang-Landau method was proposed by F. Wang and D. P. Landau (Ref. 1) to compute the density of
states, <math> \Omega (E) </math>, of [[Potts model|Potts models]];
where <math> \Omega(E) </math> is the number of microstates of the system with energy
<math> E </math>.
{{Stub-general}}
{{Stub-general}}
The Wang-Landau method was proposed by F. Wang and D. P. Landau (Ref. 1) to compute the density of
 
states of [[Potts model|Potts models]].
==References==
==References==
#[http://dx.doi.org/10.1103/PhysRevE.64.056101    Fugao Wang and D. P. Landau "Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram", Physical Review E '''64''' 056101 (2001)]
#[http://dx.doi.org/10.1103/PhysRevE.64.056101    Fugao Wang and D. P. Landau "Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram", Physical Review E '''64''' 056101 (2001)]

Revision as of 13:37, 4 July 2008

The Wang-Landau method was proposed by F. Wang and D. P. Landau (Ref. 1) to compute the density of states, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Omega (E) } , of Potts models;

where is the number of microstates of the system with energy Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E } .

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References

  1. Fugao Wang and D. P. Landau "Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram", Physical Review E 64 056101 (2001)
  2. D. P. Landau, Shan-Ho Tsai, and M. Exler "A new approach to Monte Carlo simulations in statistical physics: Wang-Landau sampling", American Journal of Physics 72 pp. 1294-1302 (2004)
  3. Georg Ganzenmüller and Philip J. Camp "Applications of Wang-Landau sampling to determine phase equilibria in complex fluids", Journal of Chemical Physics 127 154504 (2007)
  4. R. E. Belardinelli and V. D. Pereyra "Wang-Landau algorithm: A theoretical analysis of the saturation of the error", Journal of Chemical Physics 127 184105 (2007)
  5. R. E. Belardinelli and V. D. Pereyra "Fast algorithm to calculate density of states", Physical Review E 75 046701 (2007)