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

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

2006-10-23

arxiv.org/abs/cond-mat/0610647v2

Phys.Rev.Lett.98:040602,2007

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures, RevTex style, updated version, to appear in Phys. Rev. Lett. (in print)

Scientific paper

10.1103/PhysRevLett.98.040602

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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