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蒙特卡罗重整化群的变分方法

Variational Approach to Monte Carlo Renormalization Group.

作者信息

Wu Yantao, Car Roberto

机构信息

The Department of Physics, Princeton University, Princeton, New Jersey 08544, USA.

The Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA.

出版信息

Phys Rev Lett. 2017 Dec 1;119(22):220602. doi: 10.1103/PhysRevLett.119.220602. Epub 2017 Nov 28.

DOI:10.1103/PhysRevLett.119.220602
PMID:29286777
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.

摘要

我们提出了一种用于在重整化理论中计算重整化耦合常数和临界指数的蒙特卡罗方法。该方案源于变分原理,通过引入一个使粗粒化变量不相关的偏置势,克服了临界慢化现象。二维伊辛模型用于阐释该方法。

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Variational Approach to Monte Carlo Renormalization Group.蒙特卡罗重整化群的变分方法
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