Replica-Exchange Cluster Algorithm
Abstract
In finite-size scaling analyses of Monte Carlo simulations of second-order phase transitions 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 critical phenomena. As a result, we gain two further orders of magnitude in the performance 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.
Cite
@article{arxiv.1108.0354,
title = {Replica-Exchange Cluster Algorithm},
author = {Wolfhard Janke and Elmar Bittner},
journal= {arXiv preprint arXiv:1108.0354},
year = {2011}
}
Comments
7 pages, 5 figures, presented at The XXVII International Symposium on Lattice Field Theory, July 26-31 2009, Peking University, Beijing, China