Autocorrelations, Swendsen-Wang cluster algorithm, Wolff cluster algorithm, Ising model
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 zW 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 zSW int,E = β/ν for the Ising model.
Coddington, Paul D. and Baillie, Clive F., "Empirical Relations Between Static and Dynamic Exponents for Ising Model Cluster Algorithms" (1992). Physics. Paper 25.
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