Flat Histogram Method of Wang-Landau and N-fold Way

Details Flat Histogram Method of Wang-Landau and N-fold Way Flat Histogram Method of Wang-Landau and N-fold Way

2001-12-03

arxiv.org/abs/cond-mat/0112037v2

Int. J. Mod. Phys. C 13, 477 (2002)

Physics

Condensed Matter

Statistical Mechanics

Latex, 19 pages, 12 encapsulated Postscript figures

Scientific paper

10.1142/S0129183102003243

We present a method for estimating the density of states of a classical statistical model. The algorithm successfully combines the Wang-Landau flat histogram method with the N-fold way in order to improve efficiency of the original single spin flip version. We test our implementation of the Wang-Landau method with the two-dimensional nearest neighbor Ising model for which we determine the tunneling time and the density of states. Furthermore, we show that our new algorithm performs correctly at right edges of an energy interval over which the density of states is computed. This removes a disadvantage of the original single spin flip Wang-Landau method where results showed systematically higher errors in the density of states at right boundaries. We compare our data with the detailed numerical tests presented in a study by Wang and Swendsen where the original Wang-Landau method was tested against various other methods. Finally, we apply our method to a thin Ising film of size $32\times 32\times 6$ with antisymmetric surface fields. With the density of states obtained from the simulations we calculate canonical averages related to the energy such as internal energy, Gibbs free energy and entropy, but we also sample microcanonical averages during simulations in order to determine canonical averages of the susceptibility, the order parameter and its fourth order cumulant. We compare our results with simulational data obtained from a conventional MC algorithm.

Affiliated with

Also associated with

No associations

Rating

Flat Histogram Method of Wang-Landau and N-fold Way does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Flat Histogram Method of Wang-Landau and N-fold Way, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Flat Histogram Method of Wang-Landau and N-fold Way will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-478956