{"title":"泊松-玻尔兹曼加空穴近似下不对称复杂等离子体的压力和等温可压缩性","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":"{\"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}","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
摘要
我们考虑了一个由带Z $$ Z $$ (Z 1 $$ Z\gg 1 $$)电荷的有限大小宏离子和带单位电荷的点相反电荷的微离子组成的双组分非对称复合等离子体。通过得到相互作用能和亥姆霍兹自由能的库仑非理想部分,在泊松-玻尔兹曼加空穴近似的框架内计算系统压力。结果表明,在整个宏离子浓度范围内,压力和等离子体等温压缩率均为正。我们比较了线性化近似和考虑非线性筛选效应的泊松-玻尔兹曼加空穴近似下的压力和等温压缩率,结果表明,在某些宏离子浓度下,压力和等温压缩率存在显著差异。
Pressure and Isothermal Compressibility of Asymmetric Complex Plasmas in the Poisson–Boltzmann Plus Hole Approximation
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.