Empirical relations between static and dynamic exponents for Ising model cluster algorithms.

@article{Coddington1992EmpiricalRB,
  title={Empirical relations between static and dynamic exponents for Ising model cluster algorithms.},
  author={Coddington and Baillie},
  journal={Physical review letters},
  year={1992},
  volume={68 7},
  pages={962-965}
}
We have measured the autocorrelations for the Swendsen-Wang and the Wolff cluster update algorithms for the Ising model in 2, 3 and 4 dimensions. The data for the Wolff algorithm suggest that the autocorrelations are linearly related to the specific heat, in which case the dynamic critical exponent z int,E = α/ν. For the Swendsen-Wang algorithm, scaling the autocorrelations by the average maximum cluster size gives either a constant or a logarithm, which implies that z int,E = β/ν for the Ising… CONTINUE READING