NPAC Technical Report SCCS-012
Comparison of Cluster Algorithms for 2-d Potts Models
Clive F. Baillie and Paul D. Coddington
October 1990
Published in Phys. Rev. B 43, 10617 (1991).
© Copyright American Physical Society.
Abstract
We have measured the dynamical critical exponent z for the
Swendsen-Wang and the Wolff cluster update algorithms, as well as a
number of variants of these algorithms, for the q=2 and q=3 Potts
models in two dimensions. We find that although the autocorrelation
times differ considerably between algorithms, the critical exponents
are the same.
For q=2, we find that although the data are better fitted by a
logarithmic increase in the autocorrelation time with lattice size,
they are also consistent with a power law with exponent $z \approx 0.25$,
especially if there are non-negligible corrections to scaling.
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