English

A Variational Approach to Monte Carlo Renormalization Group

Statistical Mechanics 2017-12-06 v1

Abstract

We present a Monte Carlo method for computing the renormalized coupling constants and the critical exponents within renormalization theory. The scheme, which derives from a variational principle, overcomes critical slowing down, by means of a bias potential that renders the coarse grained variables uncorrelated. The 2D Ising model is used to illustrate the method.

Keywords

Cite

@article{arxiv.1707.08683,
  title  = {A Variational Approach to Monte Carlo Renormalization Group},
  author = {Yantao Wu and Roberto Car},
  journal= {arXiv preprint arXiv:1707.08683},
  year   = {2017}
}

Comments

4 pages, 3 figures, 1 table

R2 v1 2026-06-22T20:58:42.761Z