Bittner, Elmar
Title: Replica-Exchange Cluster Algorithm
Author: Elmar Bittner and Wolfhard Janke
Affiliation: Institut für Theoretische Physik and Centre for Theoretical Sciences (NTZ) – Universität Leipzig, Germany
Abstract:
In typical finite-size scaling analyses of Monte Carlo simulations of a model exhibiting a second-order phase transition, one often needs an extended temperature/energy range around the critical point. By combining the replica-exchange algorithm with cluster updates and an adaptive routine to find the range of interest, we introduce a new flexible and powerful method for systematic investigations of second-order phase transitions. As a result, we gain two further orders of magnitude for 2D and 3D Ising models in comparison with the recently proposed Wang-Landau recursion for cluster algorithms based on the multibondic algorithm, which is already a great improvement over the standard multicanonical variant.
Author: Elmar Bittner and Wolfhard Janke
Affiliation: Institut für Theoretische Physik and Centre for Theoretical Sciences (NTZ) – Universität Leipzig, Germany
Abstract:
In typical finite-size scaling analyses of Monte Carlo simulations of a model exhibiting a second-order phase transition, one often needs an extended temperature/energy range around the critical point. By combining the replica-exchange algorithm with cluster updates and an adaptive routine to find the range of interest, we introduce a new flexible and powerful method for systematic investigations of second-order phase transitions. As a result, we gain two further orders of magnitude for 2D and 3D Ising models in comparison with the recently proposed Wang-Landau recursion for cluster algorithms based on the multibondic algorithm, which is already a great improvement over the standard multicanonical variant.