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Critical dynamics of the three-dimensional Ising model: A Monte Carlo study

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Abstract

Extensive Monte Carlo simulations have been performed to analyze the dynamical behavior of the three-dimensional Ising model with local dynamics. We have studied the equilibrium correlation functions and the power spectral densities of odd and even observables. The exponential relaxation times have been calculated in the asymptotic one-exponential time region. We find that the critical exponentz=2.09 ±0.02 characterizes the algebraic divergence with lattice size for all observables. The influence of scaling corrections has been analyzed. We have determined integrated relaxation times as well. Their dynamical exponentz int agrees withz for correlations of the magnetization and its absolute value, but it is different for energy correlations. We have applied a scaling method to analyze the behavior of the correlation functions. This method verifies excellent scaling behavior and yields a dynamical exponentz scal which perfectly agrees withz.

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  1. Theoretische Physik III, Ruhr-Universität Bochum, Germany

    Hans -Otto Heuer

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  1. Hans -Otto Heuer
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Heuer, H.O. Critical dynamics of the three-dimensional Ising model: A Monte Carlo study. J Stat Phys 72, 789–827 (1993). https://doi.org/10.1007/BF01048033

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  • DOI: https://doi.org/10.1007/BF01048033

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