Physica A: Statistical Mechanics and its Applications
System size dependence of the autocorrelation time for the Swendsen-Wang Ising model
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Cited by (58)
Dynamic critical index of the Swendsen-Wang algorithm by dynamic finite-size scaling
2006, Computer Physics CommunicationsCitation Excerpt :With the introduction of cluster algorithms, a great improvement in the simulations of the magnetic spin systems has been possible since it has been shown that the dynamic critical exponents of these algorithms are much less than that of local algorithms such as Metropolis and Heat Bath. The efficiencies (dynamic behavior and the dynamic critical exponents) have been discussed by many authors by using various spin systems at thermal equilibrium [2–8]. Recently we have studied the dynamic behavior of 2-, 3-, and 4-dimensional Ising models by using the Wolff cluster algorithm [9].
A study of dynamic finite size scaling behavior of the scaling functions - Calculation of dynamic critical index of Wolff algorithm
2005, Computer Physics CommunicationsCitation Excerpt :At each iteration only a single cluster is updated. In the literature, for 2-, 3- and 4-dimensions, small dynamic critical exponents are obtained [22–28], but further studies of the data suggest that for all three dimensions the dynamic critical exponent of the Ising model can be considered as zero. The measurement of the dynamic critical exponent in thermal equilibrium is extremely difficult, since the correlation length around the phase transition point is as large as the size of the lattice.
Percolation and magnetization in the continuous spin Ising model
2000, Nuclear Physics BNonlocal Monte Carlo algorithms for statistical physics applications
1998, Mathematics and Computers in SimulationCluster dynamics and universality of Ising lattice gases
1998, Physica A: Statistical Mechanics and its Applications
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