Wang-Landau method: Difference between revisions

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where <math> \Omega(E) </math> is the number of [[microstate |microstates]] of the system having energy  
where <math> \Omega(E) </math> is the number of [[microstate |microstates]] of the system having energy  
<math> E </math>.
<math> E </math>.
The '''Wang-Landau method''' in its original version is a simulation technique designed to reach an uniform
sampling of the energies of the system in a given range.
==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)]

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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, , of Potts models; where is the number of microstates of the system having energy .

The Wang-Landau method in its original version is a simulation technique designed to reach an uniform sampling of the energies of the system in a given range.

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)