Overlaps of successive configurations or clusters in Wolff and Swendsen-Wang Monte Carlo algorithms act as order parameters that reflect the critical thermodynamics of Ising and Potts models, unlike local Metropolis flips.
Weigel, Simulating Spin Models on GPU, Computer Physics Communications182, 1833 (2011)
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Algorithmic overlaps as thermodynamic variables: from local to cluster Monte Carlo dynamics in critical phenomena
Overlaps of successive configurations or clusters in Wolff and Swendsen-Wang Monte Carlo algorithms act as order parameters that reflect the critical thermodynamics of Ising and Potts models, unlike local Metropolis flips.