{"title":"被电解质包围的两个表面带电球体周围的电场能量密度II。较小的球体在较大的球体内部","authors":"I. Sugár","doi":"10.3934/biophy.2022006","DOIUrl":null,"url":null,"abstract":"<abstract> <p>Based on the generalized version of Newton's Shell Theorem <xref ref-type=\"bibr\" rid=\"b7\">[7]</xref> the electric field energy density, <italic>u<sub>F</sub></italic> around two surface-charged spheres surrounded by electrolyte where the smaller sphere is inside the larger one is analytically calculated. According to the calculations when the surfaces of the spheres are farther from each other than four times of the Debye length the field energy density around and inside the smaller sphere is basically independent from the presence of the larger sphere. The electric field energy density is maximal when the smaller sphere touches the inner surface of the larger sphere and the maximum of <italic>u<sub>F</sub></italic> is located at the touching point on the outer surface of the larger sphere.</p> </abstract>","PeriodicalId":7529,"journal":{"name":"AIMS Biophysics","volume":"1 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Density of electric field energy around two surface-charged spheres surrounded by electrolyte II. The smaller sphere is inside the larger one\",\"authors\":\"I. Sugár\",\"doi\":\"10.3934/biophy.2022006\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<abstract> <p>Based on the generalized version of Newton's Shell Theorem <xref ref-type=\\\"bibr\\\" rid=\\\"b7\\\">[7]</xref> the electric field energy density, <italic>u<sub>F</sub></italic> around two surface-charged spheres surrounded by electrolyte where the smaller sphere is inside the larger one is analytically calculated. According to the calculations when the surfaces of the spheres are farther from each other than four times of the Debye length the field energy density around and inside the smaller sphere is basically independent from the presence of the larger sphere. The electric field energy density is maximal when the smaller sphere touches the inner surface of the larger sphere and the maximum of <italic>u<sub>F</sub></italic> is located at the touching point on the outer surface of the larger sphere.</p> </abstract>\",\"PeriodicalId\":7529,\"journal\":{\"name\":\"AIMS Biophysics\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"AIMS Biophysics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3934/biophy.2022006\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"BIOPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"AIMS Biophysics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3934/biophy.2022006","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"BIOPHYSICS","Score":null,"Total":0}
Density of electric field energy around two surface-charged spheres surrounded by electrolyte II. The smaller sphere is inside the larger one
Based on the generalized version of Newton's Shell Theorem [7] the electric field energy density, uF around two surface-charged spheres surrounded by electrolyte where the smaller sphere is inside the larger one is analytically calculated. According to the calculations when the surfaces of the spheres are farther from each other than four times of the Debye length the field energy density around and inside the smaller sphere is basically independent from the presence of the larger sphere. The electric field energy density is maximal when the smaller sphere touches the inner surface of the larger sphere and the maximum of uF is located at the touching point on the outer surface of the larger sphere.
期刊介绍:
AIMS Biophysics is an international Open Access journal devoted to publishing peer-reviewed, high quality, original papers in the field of biophysics. We publish the following article types: original research articles, reviews, editorials, letters, and conference reports. AIMS Biophysics welcomes, but not limited to, the papers from the following topics: · Structural biology · Biophysical technology · Bioenergetics · Membrane biophysics · Cellular Biophysics · Electrophysiology · Neuro-Biophysics · Biomechanics · Systems biology