TY - JOUR
T1 - Rigorous lower bound on the dynamic critical exponents of the Swendsen-Wang algorithm
AU - Li, Xiao Jian
AU - Sokal, Alan D.
PY - 1989
Y1 - 1989
N2 - We prove the rigorous lower bound zsw/ for the dynamic critical exponent of the Swendsen-Wang algorithm. For two-dimensional q-state Potts models with q=2,3,4, this implies zsw0,(2/5,1. We present numerical data indicating that zsw=0.550.03, 0.890.05 for q=3,4 (95% confidence limits, statistical errors only). The discrepancy for q=4 appears to be caused by multiplicative logarithmic corrections.
AB - We prove the rigorous lower bound zsw/ for the dynamic critical exponent of the Swendsen-Wang algorithm. For two-dimensional q-state Potts models with q=2,3,4, this implies zsw0,(2/5,1. We present numerical data indicating that zsw=0.550.03, 0.890.05 for q=3,4 (95% confidence limits, statistical errors only). The discrepancy for q=4 appears to be caused by multiplicative logarithmic corrections.
UR - http://www.scopus.com/inward/record.url?scp=4243225907&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=4243225907&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.63.827
DO - 10.1103/PhysRevLett.63.827
M3 - Article
AN - SCOPUS:4243225907
SN - 0031-9007
VL - 63
SP - 827
EP - 830
JO - Physical Review Letters
JF - Physical Review Letters
IS - 8
ER -