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Exact expressions for the mobility and electrophoretic mobility of a weakly charged sphere in a simple electrolyte
Umeå University, Faculty of Science and Technology, Department of Physics. (Icelab)
New York University. (Center for soft-matter research)
2013 (English)In: Europhysics letters, ISSN 0295-5075, E-ISSN 1286-4854, Vol. 014, no 6, 68004- p.Article in journal (Refereed) Published
Abstract [en]

We present (asymptotically) exact expressions for the mobility and electrophoretic mobility of a weakly charged spherical particle in a 1 : 1 electrolyte solution. This is done by analytically solving the electro and hydrodynamic equations governing the electric potential and fluid flow with respect to an electric field and a non-electric force. The resulting formulae are cumbersome, but fully explicit and trivial for computation. In the case of a very small particle compared to the Debye screening length (R << r(D)) our results reproduce proper limits of the classical Debye and Onsager theories, while in the case of a very large particle (R >> r(D)) we recover, both, the non-monotonous charge dependence discovered by Levich (1958) as well as the scaling estimate given by Long, Viovy, and Ajdari (1996), while adding the previously unknown coefficients and corrections. The main applicability condition of our solution is charge smallness in the sense that screening remains linear.

Place, publisher, year, edition, pages
2013. Vol. 014, no 6, 68004- p.
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:umu:diva-84940DOI: 10.1209/0295-5075/104/68004ISI: 000330618500027OAI: oai:DiVA.org:umu-84940DiVA: diva2:690231
Available from: 2014-01-22 Created: 2014-01-22 Last updated: 2017-12-06Bibliographically approved

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