%0 Book Section %1 statphys23_0900 %A Berg, B.A. %A Janke, W. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K algorithm cluster critical down ensemble finite-size generalized multibondic recursion scaling simulations slowing statphys23 topic-2 wang-landau %T Broad histogram cluster algorithm for finite-size scaling studies of second-order phase transitions %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=900 %X For finite-size scaling studies of second-order phase transitions 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, Phys. Rev. Lett. 98, 040602 (2007).

@incollection{statphys23_0900, abstract = {For finite-size scaling studies of second-order phase transitions 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, Phys. Rev. Lett. {\bf 98}, 040602 (2007).}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Berg, B.A. and Janke, W.}, biburl = {https://www.bibsonomy.org/bibtex/29b2de1d5b10b2e8250e44e1c05b327b9/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {14f86cff4c73ee6c2563f6aa8ae0009e}, intrahash = {9b2de1d5b10b2e8250e44e1c05b327b9}, keywords = {algorithm cluster critical down ensemble finite-size generalized multibondic recursion scaling simulations slowing statphys23 topic-2 wang-landau}, month = {9-13 July}, timestamp = {2007-06-20T10:16:33.000+0200}, title = {Broad histogram cluster algorithm for finite-size scaling studies of second-order phase transitions}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=900}, year = 2007 }