Searching for the maximal packing fraction of hard disks confined by a circular cavity through replica exchange/event-chain Monte Carlo

Author:

Basurto Eduardo1ORCID,Gurin Peter2ORCID,Specht Eckard3,Odriozola Gerardo1ORCID

Affiliation:

1. Área de Física de Procesos Irreversibles, División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana-Azcapotzalco 1 , Av. San Pablo 180, 02200 CD México, Mexico

2. Physics Department, Centre for Natural Sciences, University of Pannonia 2 , P.O. Box 158, Veszprém H-8201, Hungary

3. Institut für Physik, Fakultät für Naturwissenschaften, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2 3 , 39106 Magdeburg, Germany

Abstract

We utilized a blend of replica exchange and event-chain Monte Carlo techniques to generate candidate configurations, aiming for a maximal packing fraction of hard disks within a circular enclosure. Our investigation encompassed systems comprising N particles, with N ranging from 300 to 720. Through our analysis, we identified 108 novel maximal packings, with some surpassing existing configurations by over 0.001 in packing fraction. As such, Monte Carlo methods demonstrate their efficacy in tackling optimization challenges of this nature.

Funder

CONAHCyT

National Research, Development, and Innovation Office

Publisher

AIP Publishing

Reference60 articles.

1. The beginning of the Monte Carlo method;Los Alamos Sci.,1987

2. Adventures of a mathematician,2019

3. Equation of state calculations by fast computing machines;J. Chem. Phys.,1953

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3