TY - JOUR
T1 - Probability-Changing Cluster Algorithm
T2 - Study of Three-Dimensional Ising Model and Percolation Problem
AU - Tomita, Yusuke
AU - Okabe, Yutaka
PY - 2002/6
Y1 - 2002/6
N2 - We present a detailed description of the idea and procedure for the newly proposed Monte Carlo algorithm of tuning the critical point automatically, which is called the probability-changing cluster (PCC) algorithm [Y. Tomita and Y. Okabe: Phys. Rev. Lett. 86 (2001) 572]. Using the PCC algorithm, we investigate the three-dimensional Ising model and the bond percolation problem. We employ a refined finite-size scaling analysis to make estimates of critical point and exponents. With much less efforts, we obtain the results which are consistent with the previous calculations. We argue several directions for the application of the PCC algorithm.
AB - We present a detailed description of the idea and procedure for the newly proposed Monte Carlo algorithm of tuning the critical point automatically, which is called the probability-changing cluster (PCC) algorithm [Y. Tomita and Y. Okabe: Phys. Rev. Lett. 86 (2001) 572]. Using the PCC algorithm, we investigate the three-dimensional Ising model and the bond percolation problem. We employ a refined finite-size scaling analysis to make estimates of critical point and exponents. With much less efforts, we obtain the results which are consistent with the previous calculations. We argue several directions for the application of the PCC algorithm.
KW - Cluster algorithm
KW - Finite-size scaling
KW - Ising model
KW - Monte Carlo simulation
KW - Percolation
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U2 - 10.1143/JPSJ.71.1570
DO - 10.1143/JPSJ.71.1570
M3 - Article
AN - SCOPUS:0036331690
SN - 0031-9015
VL - 71
SP - 1570
EP - 1575
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
IS - 6
ER -