{"title":"Scaling of energy and length for a two-dimensional classical system of charged particles under parabolic confinement","authors":"Orion Ciftja","doi":"10.1016/j.rinp.2025.108243","DOIUrl":null,"url":null,"abstract":"<div><div>A two-dimensional classical system of charged particles under parabolic confinement is an important theoretical model that helps researchers understand fundamental interactions, explore new materials and devices, and study collective phenomena in low-dimensional systems. Its significance extends across multiple disciplines ranging from solid-state physics to plasma research. In this work we show how a particular scaling of energy and length in dimensionless form enables one to simplify considerably the determination of the global minimum energy of the system. This process allows for the identification of key parameters that govern the behavior of the system without being influenced by its scale. Results for small finite systems of particles are reported in order to illustrate the approach.</div></div>","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"73 ","pages":"Article 108243"},"PeriodicalIF":4.4000,"publicationDate":"2025-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Results in Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2211379725001378","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
A two-dimensional classical system of charged particles under parabolic confinement is an important theoretical model that helps researchers understand fundamental interactions, explore new materials and devices, and study collective phenomena in low-dimensional systems. Its significance extends across multiple disciplines ranging from solid-state physics to plasma research. In this work we show how a particular scaling of energy and length in dimensionless form enables one to simplify considerably the determination of the global minimum energy of the system. This process allows for the identification of key parameters that govern the behavior of the system without being influenced by its scale. Results for small finite systems of particles are reported in order to illustrate the approach.
Results in PhysicsMATERIALS SCIENCE, MULTIDISCIPLINARYPHYSIC-PHYSICS, MULTIDISCIPLINARY
CiteScore
8.70
自引率
9.40%
发文量
754
审稿时长
50 days
期刊介绍:
Results in Physics is an open access journal offering authors the opportunity to publish in all fundamental and interdisciplinary areas of physics, materials science, and applied physics. Papers of a theoretical, computational, and experimental nature are all welcome. Results in Physics accepts papers that are scientifically sound, technically correct and provide valuable new knowledge to the physics community. Topics such as three-dimensional flow and magnetohydrodynamics are not within the scope of Results in Physics.
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3. Letters to the Editor: Letters discussing a recent article published in Results in Physics are welcome. These are objective, constructive, or educational critiques of papers published in Results in Physics. Accepted letters will be sent to the author of the original paper for a response. Each letter and response is published together. Letters should be received within 8 weeks of the article''s publication. They should not exceed 750 words of text and 10 references.