Improving wang-landau sampling with adaptive windows
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2008
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Wang-Landau sampling WLS of large systems requires dividing the energy range into “windows” and
joining the results of simulations in each window. The resulting density of states and associated thermodynamic
functions is shown to suffer from boundary effects in simulations of lattice polymers and the five-state
Potts model. Here, we implement WLS using adaptive windows. Instead of defining fixed energy windows or
windows in the energy-magnetization plane for the Potts model , the boundary positions depend on the set of
energy values on which the histogram is flat at a given stage of the simulation. Shifting the windows each time
the modification factor f is reduced, we eliminate border effects that arise in simulations using fixed windows.
Adaptive windows extend significantly the range of system sizes that may be studied reliably using WLS.
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CUNHA NETTO, A. G.; CAPARICA, A. A.; TSAI, Shan-Ho; DICKMAN, Ronald; LANDAU, D. P. Improving wang-landau sampling with adaptive windows. Physical Review. E, Melville, v. 78, e055701, 2008.