Monte Carlo simulations of the improved Blume-Capel model give the dynamic critical exponent of the 3D Ising universality class as z = 2.0245(15).
The Dynamic Exponent of the Two-Dimensional Ising Model and Monte Carlo Computation of the Sub-Dominant Eigenvalue of the Stochastic Matrix
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abstract
We introduce a novel variance-reducing Monte Carlo algorithm for accurate determination of autocorrelation times. We apply this method to two-dimensional Ising systems with sizes up to $15 \times 15$, using single-spin flip dynamics, random site selection and transition probabilities according to the heat-bath method. From a finite-size scaling analysis of these autocorrelation times, the dynamical critical exponent $z$ is determined as $z=2.1665$ (12).
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cond-mat.stat-mech 1years
2019 1verdicts
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The dynamic critical exponent $z$ of the three-dimensional Ising universality class: Monte Carlo simulations of the improved Blume-Capel model
Monte Carlo simulations of the improved Blume-Capel model give the dynamic critical exponent of the 3D Ising universality class as z = 2.0245(15).