TY - JOUR
T1 - Novel Monte Carlo algorithms and their applications
AU - Okabe, Yutaka
AU - Tomita, Yusuke
AU - Yamaguchi, Chiaki
N1 - Funding Information:
We thank N. Kawashima for fruitful discussions and the collaboration of a part of the present work. We also thank H. Otsuka, J.-S. Wang and C.-K. Hu for valuable discussions. The computation in this work has been done using the facilities of the Supercomputer Center, Institute for Solid State Physics, University of Tokyo. This work was supported by a Grant-in-Aid for Scientific Research from the Japan Society for the promotion of Science.
PY - 2003/4/1
Y1 - 2003/4/1
N2 - We describe a generalized scheme for the probability-changing cluster (PCC) algorithm, based on the study of the finite-size scaling property of the correlation ratio, the ratio of the correlation functions with different distances. We apply this generalized PCC algorithm to the two-dimensional 6-state clock model. We also discuss the combination of the cluster algorithm and the extended ensemble method. We derive a rigorous broad histogram relation for the bond number. A Monte Carlo dynamics based on the number of potential moves for the bond number is proposed, and applied to the three-dimensional Ising and 3-state Potts models.
AB - We describe a generalized scheme for the probability-changing cluster (PCC) algorithm, based on the study of the finite-size scaling property of the correlation ratio, the ratio of the correlation functions with different distances. We apply this generalized PCC algorithm to the two-dimensional 6-state clock model. We also discuss the combination of the cluster algorithm and the extended ensemble method. We derive a rigorous broad histogram relation for the bond number. A Monte Carlo dynamics based on the number of potential moves for the bond number is proposed, and applied to the three-dimensional Ising and 3-state Potts models.
KW - Broad histogram relation
KW - Cluster algorithm
KW - Correlation ratio
KW - Finite-size scaling
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U2 - 10.1016/S0378-4371(02)01792-2
DO - 10.1016/S0378-4371(02)01792-2
M3 - Article
AN - SCOPUS:0037379647
SN - 0378-4371
VL - 321
SP - 340
EP - 350
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1-2
ER -