{"title":"稀带电溶液中的弛豫现象","authors":"B. Timofeev, V. Shikin","doi":"10.1134/S0021364024604627","DOIUrl":null,"url":null,"abstract":"<p>The study of transport phenomena in conductive media of different dimensions often involves impedance diagnostics. The desire to exclude the influence of contact phenomena accompanying dc measurements on the current–voltage characteristic is a general reason for the application of complicated ac measurements instead of the quite methodologically simple dc regime. Relaxation phenomena in electrolytes with electrohydrodynamics linear in the density of the dopant <i>n</i><sub>d</sub> have been analyzed in detail in this work. It has been shown that the well-known Debye–Hückel–Onsager theory of the electrolyte conductivity cannot ensure the linearity of electrohydrodynamics of dilute solutions in the density <i>n</i><sub>d</sub>. Its linear alternative based on the theory of transport in finely dispersed two-phase systems called Maxwell formalism has been proposed. It has been shown that this allows one to interpret the observed relaxation time in the form <span>\\({{\\tau }_{c}} \\simeq RC\\)</span>, where <i>R</i> is the resistance of the bulk portion of a cell with an electrolyte in terms of the Maxwell formalism and <i>C</i> is the electrolytic capacitance of the metal–electrolyte transition regions appearing on its control electrodes. Examples of the successful use of <i>RC</i>-matched ac diagnostics have been discussed.</p>","PeriodicalId":604,"journal":{"name":"JETP Letters","volume":"120 11","pages":"843 - 853"},"PeriodicalIF":1.4000,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Relaxation Phenomena in Dilute Charged Solutions\",\"authors\":\"B. Timofeev, V. Shikin\",\"doi\":\"10.1134/S0021364024604627\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The study of transport phenomena in conductive media of different dimensions often involves impedance diagnostics. The desire to exclude the influence of contact phenomena accompanying dc measurements on the current–voltage characteristic is a general reason for the application of complicated ac measurements instead of the quite methodologically simple dc regime. Relaxation phenomena in electrolytes with electrohydrodynamics linear in the density of the dopant <i>n</i><sub>d</sub> have been analyzed in detail in this work. It has been shown that the well-known Debye–Hückel–Onsager theory of the electrolyte conductivity cannot ensure the linearity of electrohydrodynamics of dilute solutions in the density <i>n</i><sub>d</sub>. Its linear alternative based on the theory of transport in finely dispersed two-phase systems called Maxwell formalism has been proposed. It has been shown that this allows one to interpret the observed relaxation time in the form <span>\\\\({{\\\\tau }_{c}} \\\\simeq RC\\\\)</span>, where <i>R</i> is the resistance of the bulk portion of a cell with an electrolyte in terms of the Maxwell formalism and <i>C</i> is the electrolytic capacitance of the metal–electrolyte transition regions appearing on its control electrodes. Examples of the successful use of <i>RC</i>-matched ac diagnostics have been discussed.</p>\",\"PeriodicalId\":604,\"journal\":{\"name\":\"JETP Letters\",\"volume\":\"120 11\",\"pages\":\"843 - 853\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2025-01-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"JETP Letters\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0021364024604627\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"JETP Letters","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S0021364024604627","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
摘要
研究不同维的导电介质中的输运现象常常涉及阻抗诊断。为了排除伴随直流测量的接触现象对电流-电压特性的影响,应用复杂的交流测量而不是方法上相当简单的直流测量是一个普遍的原因。本文详细分析了电流体动力学与掺杂浓度成线性关系的电解质中的弛豫现象。结果表明,著名的debye - h kkel - onsager电解液电导率理论不能保证稀溶液在密度和密度下的电流体动力学线性。基于精细分散的两相系统的输运理论,提出了它的线性替代方案,称为麦克斯韦形式主义。已经证明,这允许人们以\({{\tau }_{c}} \simeq RC\)的形式解释观察到的弛豫时间,其中R是根据麦克斯韦形式的电解质的电池体部分的电阻,C是出现在其控制电极上的金属-电解质过渡区域的电解电容。讨论了成功使用rc匹配交流诊断的例子。
The study of transport phenomena in conductive media of different dimensions often involves impedance diagnostics. The desire to exclude the influence of contact phenomena accompanying dc measurements on the current–voltage characteristic is a general reason for the application of complicated ac measurements instead of the quite methodologically simple dc regime. Relaxation phenomena in electrolytes with electrohydrodynamics linear in the density of the dopant nd have been analyzed in detail in this work. It has been shown that the well-known Debye–Hückel–Onsager theory of the electrolyte conductivity cannot ensure the linearity of electrohydrodynamics of dilute solutions in the density nd. Its linear alternative based on the theory of transport in finely dispersed two-phase systems called Maxwell formalism has been proposed. It has been shown that this allows one to interpret the observed relaxation time in the form \({{\tau }_{c}} \simeq RC\), where R is the resistance of the bulk portion of a cell with an electrolyte in terms of the Maxwell formalism and C is the electrolytic capacitance of the metal–electrolyte transition regions appearing on its control electrodes. Examples of the successful use of RC-matched ac diagnostics have been discussed.
期刊介绍:
All topics of experimental and theoretical physics including gravitation, field theory, elementary particles and nuclei, plasma, nonlinear phenomena, condensed matter, superconductivity, superfluidity, lasers, and surfaces.