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We present a method for estimating the density of states of a classicalstatistical model. The algorithm successfully combines the Wang-Landau flathistogram method with the N-fold way in order to improve efficiency of theoriginal single spin flip version. We test our implementation of theWang-Landau method with the two-dimensional nearest neighbor Ising model forwhich we determine the tunneling time and the density of states. Furthermore,we show that our new algorithm performs correctly at right edges of an energyinterval over which the density of states is computed. This removes adisadvantage of the original single spin flip Wang-Landau method where resultsshowed systematically higher errors in the density of states at rightboundaries. We compare our data with the detailed numerical tests presented ina study by Wang and Swendsen where the original Wang-Landau method was testedagainst various other methods. Finally, we apply our method to a thin Isingfilm of size $32\times 32\times 6$ with antisymmetric surface fields. With thedensity of states obtained from the simulations we calculate canonical averagesrelated to the energy such as internal energy, Gibbs free energy and entropy,but we also sample microcanonical averages during simulations in order todetermine canonical averages of the susceptibility, the order parameter and itsfourth order cumulant. We compare our results with simulational data obtainedfrom a conventional MC algorithm.Comment: Latex, 19 pages, 12 encapsulated Postscript figure

FLAT HISTOGRAM METHOD OF WANG–LANDAU AND N-FOLD WAY