Variational Approach to Monte Carlo Renormalization Group

Yantao Wu; Roberto Car

doi:10.1103/PhysRevLett.119.220602

Variational Approach to Monte Carlo Renormalization Group

Yantao Wu, Roberto Car

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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 two-dimensional Ising model is used to illustrate the method.

Original language	English (US)
Article number	220602
Journal	Physical review letters
Volume	119
Issue number	22
DOIs	https://doi.org/10.1103/PhysRevLett.119.220602
State	Published - Nov 28 2017

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1103/PhysRevLett.119.220602

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title = "Variational Approach to Monte Carlo Renormalization Group",

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 two-dimensional Ising model is used to illustrate the method.",

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AB - 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 two-dimensional Ising model is used to illustrate the method.

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Variational Approach to Monte Carlo Renormalization Group

Abstract

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