New Dynamic Monte Carlo Renormalization Group Method
Martin-D. Lacasse (1), Jorge Vinals (2), Martin Grant(1) ((1) Centre, for the Physics of Materials, Department of Physics, McGill University,, Rutherford Building, Montr\'eal, Qu\'ebec, Canada (2) Supercomputer, Computations Research Institute, Florida State University
TL;DR
This paper introduces a novel Monte Carlo renormalization group method that incorporates a transformation in time to evaluate the dynamical critical exponent of the 2D Ising model, achieving results consistent with existing estimates.
Contribution
The paper presents a new dynamic Monte Carlo renormalization group approach that effectively estimates the dynamical critical exponent for the 2D Ising model.
Findings
Estimated z = 2.13 ± 0.01 for the 2D Ising model
Results align well with finite-size scaling analysis
Method provides a reliable alternative for critical exponent evaluation
Abstract
The dynamical critical exponent of the two-dimensional spin-flip Ising model is evaluated by a Monte Carlo renormalization group method involving a transformation in time. The results agree very well with a finite-size scaling analysis performed on the same data. The value of is obtained, which is consistent with most recent estimates.
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