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arXiv · 2011.05567

Monte Carlo renormalization group calculation for the d=3 Ising Model using a modified transformation

D. Ron·A. Brandt·R. H. Swendsen
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Abstract

We present a simple approach to high-accuracy calculations of critical properties for the three-dimensional Ising model, without prior knowledge of the critical temperature. The iterative method uses a modified block-spin transformation with a tunable parameter to improve convergence in the Monte Carlo renormalization group trajectory. We found experimentally that the iterative method enables the calculation of the critical temperature simultaneously with a critical exponent.

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D. Ron, A. Brandt, R. H. Swendsen. 2020-11-10. Monte Carlo renormalization group calculation for the d=3 Ising Model using a modified transformation. https://doi.org/10.1103/physreve.104.025311

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