Regensburg 2007 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 19: Finite size effects at phase transitions I (session accompanying the symposium of the same name)

DY 19.1: Talk

Tuesday, March 27, 2007, 17:00–17:15, H2

Finite-size adapted Wang-Landau/multibondic cluster simulations for second-order phase transitions — •Wolfhard Janke¹ and Bernd Berg² — ¹Institut für Theoretische Physik and Centre for Theoretical Sciences (NTZ), Universität Leipzig, Postfach 100900, 04009 Leipzig, Germany — ²Department of Physics and School of Computational Science, Florida State University, Tallahassee, FL 32306, USA

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 density of states 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 efficacy of the conventional Wang-Landau/multicanonical approach by power laws in the lattice size. By suitably adapting the extended energy range to the system size, in our simulations real gains in CPU time reach two orders of magnitude.

[1] B.A. Berg and W. Janke, cond-mat/0610647, to appear in Phys. Rev. Lett.(in print).