Local and cluster critical dynamics of the 3d random-site Ising model

Abstract

We present the results of Monte Carlo simulations for the critical dynamics of the three-dimensional site-diluted quenched Ising model. Three different dynamics are considered, these correspond to the local update Metropolis scheme as well as to the Swendsen-Wang and Wolff cluster algorithms. The lattice sizes of L=10-96 are analysed by a finite-size-scaling technique. The site dilution concentration p=0.85 was chosen to minimize the correction-to-scaling effects. We calculate numerical values of the dynamical critical exponents for the integrated and exponential autocorrelation times for energy and magnetization. As expected, cluster algorithms are characterized by lower values of dynamical critical exponent than the local one: also in the case of dilution critical slowing down is more pronounced for the Metropolis algorithm. However, the striking feature of our estimates is that they suggest that dilution leads to decrease of the dynamical critical exponent for the cluster algorithms. This phenomenon is quite opposite to the local dynamics, where dilution enhances critical slowing down.

24 pages, 16 figures, style file included

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Cited by in corpus (6)

• The 3D +-J Ising model at the ferromagnetic transition line
• Billion-atom Synchronous Parallel Kinetic Monte Carlo Simulations of Critical 3D Ising Systems
• Relaxational dynamics in 3D randomly diluted Ising models
• Super slowing down in the bond-diluted Ising model
• When correlations exceed system size: finite-size scaling in free boundary conditions above the upper critical dimension
• Dynamical Critical Properties of the Random-Bond three-state Potts Model