Variational Approach to Monte Carlo Renormalization Group

Wu, Yantao; Car, Roberto

doi:10.1103/PhysRevLett.119.220602

Variational Approach to Monte Carlo Renormalization Group

Jul 26, 2017

5 pages

Published in:

Phys.Rev.Lett. 119 (2017) 22, 220602

Published: Nov 28, 2017

e-Print:

1707.08683 [cond-mat.stat-mech]

DOI:

10.1103/PhysRevLett.119.220602

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Abstract: (APS)

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.

Note:

4 pages, 3 figures, 1 table

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