English

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

Statistical Mechanics 2021-09-01 v1

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.

Keywords

Cite

@article{arxiv.2011.05567,
  title  = {Monte Carlo renormalization group calculation for the d=3 Ising Model using a modified transformation},
  author = {D. Ron and A. Brandt and R. H. Swendsen},
  journal= {arXiv preprint arXiv:2011.05567},
  year   = {2021}
}

Comments

4 pages. arXiv admin note: text overlap with arXiv:1703.02430

R2 v1 2026-06-23T20:04:18.209Z