{"title":"Transient electrophoresis of spherical colloidal particles in a multi-particle suspension","authors":"Hiroyuki Ohshima","doi":"10.1007/s00396-024-05269-4","DOIUrl":null,"url":null,"abstract":"<div><p>A general expression is derived for the Laplace transform of the time dependent transient electrophoretic mobility of spherical colloidal particles in a multi-particle suspension when a step external electric field is suddenly applied to the colloidal suspension. From the general mobility expression, we obtain a simple closed form expression for the Laplace transform of the time-dependent transient electrophoretic mobility of weakly charged spherical colloidal particles in an electrolyte solution. The obtained Laplace transform of the transient electrophoretic mobility of particles does not involve numerical integrations so that its inverse Laplace transform is easily obtained using calculation software.</p><h3>Graphical Abstract</h3><p>Time-dependent transient Henry function for spherical colloidal particles in a multi-particle suspension.</p>\n<div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":520,"journal":{"name":"Colloid and Polymer Science","volume":"302 9","pages":"1407 - 1413"},"PeriodicalIF":2.2000,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Colloid and Polymer Science","FirstCategoryId":"92","ListUrlMain":"https://link.springer.com/article/10.1007/s00396-024-05269-4","RegionNum":4,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"CHEMISTRY, PHYSICAL","Score":null,"Total":0}
引用次数: 0
Abstract
A general expression is derived for the Laplace transform of the time dependent transient electrophoretic mobility of spherical colloidal particles in a multi-particle suspension when a step external electric field is suddenly applied to the colloidal suspension. From the general mobility expression, we obtain a simple closed form expression for the Laplace transform of the time-dependent transient electrophoretic mobility of weakly charged spherical colloidal particles in an electrolyte solution. The obtained Laplace transform of the transient electrophoretic mobility of particles does not involve numerical integrations so that its inverse Laplace transform is easily obtained using calculation software.
Graphical Abstract
Time-dependent transient Henry function for spherical colloidal particles in a multi-particle suspension.
期刊介绍：
Colloid and Polymer Science - a leading international journal of longstanding tradition - is devoted to colloid and polymer science and its interdisciplinary interactions. As such, it responds to a demand which has lost none of its actuality as revealed in the trends of contemporary materials science.
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