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Wang-Landau/Multibondic Cluster Simulations for Second-Order Phase Transitions

Bernd A. Berg·Wolfhard Janke
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Abstract

For a second-order phase transition the critical energy range of interest is larger than the energy range covered by a canonical Monte Carlo simulation at the critical temperature. Such an extended energy range can be covered by performing a Wang-Landau recursion for the spectral density followed by a multicanonical simulation with fixed weights. But in the conventional approach one loses the advantage due to cluster algorithms. A cluster version of the Wang-Landau recursion together with a subsequent multibondic simulation improves for 2D and 3D Ising models the efficiency of the conventional Wang-Landau/multicanonical approach by power laws in the lattice size. In our simulations real gains in CPU time reach two orders of magnitude.

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BibTeXRIS

Bernd A. Berg, Wolfhard Janke. 2006-12-11. Wang-Landau/Multibondic Cluster Simulations for Second-Order Phase Transitions. https://doi.org/10.1103/physrevlett.98.040602

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