{"title":"二维受限离子的平衡态","authors":"A. Mughal, S. Hutzler, D. Weaire","doi":"10.1080/14786435.2023.2165187","DOIUrl":null,"url":null,"abstract":"ABSTRACT Ions that are trapped in two dimensions and are subject to a harmonic confining potential have widely varying stationary states that exhibit various asymptotic forms and bifurcations. We present a ‘birds-eye’ view of these structures for N = 2 to 5 ions, and the full range of anisotropy. These results may be interrogated in detail using the software provided here. Energy variations at bifurcation points and limits are also identified; for N = 5 these include blue-sky (or saddle-node) bifurcations. A limited attempt is also made to explore such features for a larger system of ions, i.e. N = 10.","PeriodicalId":19856,"journal":{"name":"Philosophical Magazine","volume":"12 1","pages":"595 - 609"},"PeriodicalIF":1.5000,"publicationDate":"2023-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Equilibrium states of confined ions in two dimensions\",\"authors\":\"A. Mughal, S. Hutzler, D. Weaire\",\"doi\":\"10.1080/14786435.2023.2165187\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"ABSTRACT Ions that are trapped in two dimensions and are subject to a harmonic confining potential have widely varying stationary states that exhibit various asymptotic forms and bifurcations. We present a ‘birds-eye’ view of these structures for N = 2 to 5 ions, and the full range of anisotropy. These results may be interrogated in detail using the software provided here. Energy variations at bifurcation points and limits are also identified; for N = 5 these include blue-sky (or saddle-node) bifurcations. A limited attempt is also made to explore such features for a larger system of ions, i.e. N = 10.\",\"PeriodicalId\":19856,\"journal\":{\"name\":\"Philosophical Magazine\",\"volume\":\"12 1\",\"pages\":\"595 - 609\"},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2023-02-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Philosophical Magazine\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://doi.org/10.1080/14786435.2023.2165187\",\"RegionNum\":4,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATERIALS SCIENCE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Philosophical Magazine","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1080/14786435.2023.2165187","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
Equilibrium states of confined ions in two dimensions
ABSTRACT Ions that are trapped in two dimensions and are subject to a harmonic confining potential have widely varying stationary states that exhibit various asymptotic forms and bifurcations. We present a ‘birds-eye’ view of these structures for N = 2 to 5 ions, and the full range of anisotropy. These results may be interrogated in detail using the software provided here. Energy variations at bifurcation points and limits are also identified; for N = 5 these include blue-sky (or saddle-node) bifurcations. A limited attempt is also made to explore such features for a larger system of ions, i.e. N = 10.
期刊介绍:
The Editors of Philosophical Magazine consider for publication contributions describing original experimental and theoretical results, computational simulations and concepts relating to the structure and properties of condensed matter. The submission of papers on novel measurements, phases, phenomena, and new types of material is encouraged.