CRITICAL-DYNAMICS OF THE 3-DIMENSIONAL ISING-MODEL - A MONTE-CARLO STUDY

Extensive Monte Carlo simulations have been performed to analyze the d ynamical behavior of the three-dimensional Ising model with local dyna mics. We have studied the equilibrium correlation functions and the po wer spectral densities of odd and even observables. The exponential re laxation times have been calculated in the asymptotic one-exponential time region. We find that the critical exponent z = 2.09 +/- 0.02 char acterizes the algebraic divergence with lattice size for all observabl es. The influence of scaling corrections has been analyzed. We have de termined integrated relaxation times as well. Their dynamical exponent z(int) agrees with z for correlations of the magnetization and its ab solute value, but it is different for energy correlations. We have app lied a scaling method to analyze the behavior of the correlation funct ions. This method verifies excellent scaling behavior and yields a dyn amical exponent z(scal) which perfectly agrees with z.