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

by: Bernd A Berg, Wolfhard Janke

Physical Review Letters, Vol. 98, No. 4. (22 January 2007)

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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 or multicanonical approach by power laws in the lattice size. In our simulations real gains in CPU time reach 2 orders of magnitude.

@article{citeulike:1105134, 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 or multicanonical approach by power laws in the lattice size. In our simulations real gains in CPU time reach 2 orders of magnitude.}, author = {Berg, Bernd A. and Janke, Wolfhard }, citeulike-article-id = {1105134}, doi = {10.1103/PhysRevLett.98.040602}, journal = {Physical Review Letters}, keywords = {monte-carlo, wang-landau}, month = {January}, number = {4}, posted-at = {2007-12-12 20:27:00}, priority = {2}, publisher = {APS}, title = {Wang-Landau Multibondic Cluster Simulations for Second-Order Phase Transitions}, url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=PRLTAO000098000004040602000001\&idtype=cvips\&gifs=yes}, volume = {98}, year = {2007} }

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TY - JOUR ID - citeulike:1105134 L3 - citeulike-article-id:1105134 TI - Wang-Landau Multibondic Cluster Simulations for Second-Order Phase Transitions JF - Physical Review Letters VL - 98 IS - 4 PB - APS N2 - 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 or multicanonical approach by power laws in the lattice size. In our simulations real gains in CPU time reach 2 orders of magnitude. KW - monte-carlo KW - wang-landau AU - Berg, Bernd AU - Janke, Wolfhard PY - 2007/01/22/ UR - http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRLTAO000098000004040602000001&idtype=cvips&gifs=yes ER -

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