Wang-Landau simulation of two planar XY-models
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چکیده
We have performed Monte Carlo simulation of two planar XY-models using the Wang-Landau algorithm. One of these models is the standard XY-model, the other has a modified potential and exhibits a strongly first order phase transition. The first part of the work is an investigation of the growth of the energy histogram fluctuation in these continuous models. We find that these histograms saturate at values proportional to 1/ √ ( ln f), for both models, irrespective of the width of the energy bin used in the simulation. Next, using the number of Monte Carlo sweeps necessary to attain the saturation value of the histograms, we have obtained the density of states and hence some observables for the two models. PACS: 05.10.Ln, 05.70.Fh, 64.60.Cn
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تاریخ انتشار 2009