Searching for the maximal packing fraction of hard disks confined by a circular cavity through replica exchange/event-chain Monte Carlo-Reference-Cited by-同舟云学术

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

Published:2024-07-24 Issue:4 Volume:161 Page:
ISSN:0021-9606
Container-title:The Journal of Chemical Physics
language:en
Short-container-title:

Author:

Basurto Eduardo¹^ORCID,Gurin Peter²^ORCID,Specht Eckard³,Odriozola Gerardo¹^ORCID

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

Link

https://pubs.aip.org/aip/jcp/article-pdf/doi/10.1063/5.0219006/20072845/044110_1_5.0219006.pdf

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