Coarsening in the long-range Ising model: Metropolis versus Glauber criterion

3 years ago

source link: https://iopscience.iop.org/article/10.1088/1742-6596/1163/1/012002
Go to the source link to view the article. You can view the picture content, updated content and better typesetting reading experience. If the link is broken, please click the button below to view the snapshot at that time.

Abstract

Coarsening kinetics of systems with long-range interactions has, for a long time, only been attempted by truncating the potential using a cut-off distance. In such simulations of the long-range Ising model, one finds effectively short-range like behavior. This contradicts a longstanding theoretical prediction for the growth of the characteristic length scale for this model. We recently performed simulations of this system without the use of a cut-off and, for the first time, confirmed the analytic prediction numerically. Here, we investigate the properties of the used algorithm in more detail and present a comparison of coarsening using the Metropolis and the Glauber criteria.

Export citation and abstract BibTeX RIS

ccby.gif?AWSAccessKeyId=AKIAYDKQL6LTV7YY2HIK&Expires=1627041427&Signature=rJOeTJSO64r2rbe1LSlfg4NrKvA%3D

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

Show References

Recommend

www.jianshu.com 7 years ago
Cache

贝叶斯推断：Metropolis-Hastings 采样 - 简书

前面一篇文章贝叶斯统计：初学指南介绍了最简单的 Metropolis 采样方法，本文将介绍另一种采样 Metropolis-Hastings ，并且会对前文介绍的例子给出证明，为什么 Metropolis 采样work。回顾我们简单的回顾下前文的内容，我们首先介绍了为什么需要有mcmc，假设有一...

openjdk.java.net 7 years ago
Cache

OpenJDK: Metropolis

www.nature.com 3 years ago
Cache

Heuristic recurrent algorithms for photonic Ising machines

ResultsPhotonic computational architectureThe proposed architecture of our photonic network is shown in Fig. 1. This photonic network can map arbitrary Is...