Transient Diffusiophoresis of a Spherical Colloidal Particle
A general theoretical approach is introduced to analyze the time-dependent, transient diffusiophoresis of a charged spherical colloidal particle in a symmetrical electrolyte solution when an electrolyte concentration gradient is suddenly applied. We derive a closed-form approximate expression for th...
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MDPI AG
2025-01-01
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| Series: | Colloids and Interfaces |
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| Online Access: | https://www.mdpi.com/2504-5377/9/1/7 |
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| author | Hiroyuki Ohshima |
| author_facet | Hiroyuki Ohshima |
| author_sort | Hiroyuki Ohshima |
| collection | DOAJ |
| description | A general theoretical approach is introduced to analyze the time-dependent, transient diffusiophoresis of a charged spherical colloidal particle in a symmetrical electrolyte solution when an electrolyte concentration gradient is suddenly applied. We derive a closed-form approximate expression for the relaxation function <i>R</i>(<i>t</i>), which describes the time course of the diffusiophoretic mobility of a weakly charged spherical colloidal particle possessing a thin electrical double layer. The relaxation function depends on the mass density ratio of the particle to the electrolyte solution and the kinematic viscosity. However, it does not depend on the type of electrolyte (e.g., KCl or NaCl). It is also found that the expression for the relaxation function in transient diffusiophoresis of a weakly charged spherical colloidal particle with a thin electrical double layer takes the same form as that for its transient electrophoresis. |
| format | Article |
| id | doaj-art-4dbad64a77ae4ff9b76482529f620e2a |
| institution | DOAJ |
| issn | 2504-5377 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Colloids and Interfaces |
| spelling | doaj-art-4dbad64a77ae4ff9b76482529f620e2a2025-08-20T02:44:56ZengMDPI AGColloids and Interfaces2504-53772025-01-0191710.3390/colloids9010007Transient Diffusiophoresis of a Spherical Colloidal ParticleHiroyuki Ohshima0Faculty of Pharmaceutical Sciences, Tokyo University of Science, 2641 Yamazaki, Noda 278-8510, Chiba, JapanA general theoretical approach is introduced to analyze the time-dependent, transient diffusiophoresis of a charged spherical colloidal particle in a symmetrical electrolyte solution when an electrolyte concentration gradient is suddenly applied. We derive a closed-form approximate expression for the relaxation function <i>R</i>(<i>t</i>), which describes the time course of the diffusiophoretic mobility of a weakly charged spherical colloidal particle possessing a thin electrical double layer. The relaxation function depends on the mass density ratio of the particle to the electrolyte solution and the kinematic viscosity. However, it does not depend on the type of electrolyte (e.g., KCl or NaCl). It is also found that the expression for the relaxation function in transient diffusiophoresis of a weakly charged spherical colloidal particle with a thin electrical double layer takes the same form as that for its transient electrophoresis.https://www.mdpi.com/2504-5377/9/1/7transient diffusiophoresisdiffusiophoresistransient diffusiophoretic mobilityspherical colloidal particletransient electrophoresis |
| spellingShingle | Hiroyuki Ohshima Transient Diffusiophoresis of a Spherical Colloidal Particle Colloids and Interfaces transient diffusiophoresis diffusiophoresis transient diffusiophoretic mobility spherical colloidal particle transient electrophoresis |
| title | Transient Diffusiophoresis of a Spherical Colloidal Particle |
| title_full | Transient Diffusiophoresis of a Spherical Colloidal Particle |
| title_fullStr | Transient Diffusiophoresis of a Spherical Colloidal Particle |
| title_full_unstemmed | Transient Diffusiophoresis of a Spherical Colloidal Particle |
| title_short | Transient Diffusiophoresis of a Spherical Colloidal Particle |
| title_sort | transient diffusiophoresis of a spherical colloidal particle |
| topic | transient diffusiophoresis diffusiophoresis transient diffusiophoretic mobility spherical colloidal particle transient electrophoresis |
| url | https://www.mdpi.com/2504-5377/9/1/7 |
| work_keys_str_mv | AT hiroyukiohshima transientdiffusiophoresisofasphericalcolloidalparticle |