{"title":"Pressure and Isothermal Compressibility of Asymmetric Complex Plasmas in the Poisson–Boltzmann Plus Hole Approximation","authors":"Inna Martynova, Igor Iosilevky","doi":"10.1002/ctpp.202400095","DOIUrl":null,"url":null,"abstract":"<div>\n \n <p>We consider a two-component asymmetric complex plasma of finite-size macroions with charges <span></span><math>\n <semantics>\n <mrow>\n <mi>Z</mi>\n </mrow>\n <annotation>$$ Z $$</annotation>\n </semantics></math> (<span></span><math>\n <semantics>\n <mrow>\n <mi>Z</mi>\n <mo>≫</mo>\n <mn>1</mn>\n </mrow>\n <annotation>$$ Z\\gg 1 $$</annotation>\n </semantics></math>) and point oppositely charged microions with unit charges. System pressure is calculated within the framework of the Poisson–Boltzmann plus hole approximation by obtaining the Coulomb nonideal parts of interaction energy and Helmholtz free energy. It is shown that both the pressure and plasma isothermal compressibility are positive over the entire range of macroion concentrations. We compared pressure and isothermal compressibility in linearized approximations and in the Poisson–Boltzmann plus hole approximation where the nonlinear screening effect is taken into account and showed a significant difference for some macroions concentrations.</p>\n </div>","PeriodicalId":10700,"journal":{"name":"Contributions to Plasma Physics","volume":"65 4","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2024-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Contributions to Plasma Physics","FirstCategoryId":"101","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/ctpp.202400095","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, FLUIDS & PLASMAS","Score":null,"Total":0}
引用次数: 0
Abstract
We consider a two-component asymmetric complex plasma of finite-size macroions with charges () and point oppositely charged microions with unit charges. System pressure is calculated within the framework of the Poisson–Boltzmann plus hole approximation by obtaining the Coulomb nonideal parts of interaction energy and Helmholtz free energy. It is shown that both the pressure and plasma isothermal compressibility are positive over the entire range of macroion concentrations. We compared pressure and isothermal compressibility in linearized approximations and in the Poisson–Boltzmann plus hole approximation where the nonlinear screening effect is taken into account and showed a significant difference for some macroions concentrations.