Electrostatic interaction between a cylinder and a planar surface |
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Authors: | H Ohshima |
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Institution: | (1) Faculty of Pharmaceutical Sciences and Institute of Colloid and Interface Science Science University of Tokyo 12 Ichigaya Funagawara-machi Shinjuku-ku Tokyo 162-0826, Japan e-mail: ohshima@ps.kagu.sut.ac.jp Tel.: +81-3-32604272 ext. 5060 Fax: +81-3-32683045, JP |
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Abstract: | An exact analytical expression for the potential energy of the electrostatic interaction between a plate-like particle 1
and a cylindrical particle 2 of radius a
2 immersed in an electrolyte solution of Debye–Hückel parameter κ is derived on the basis of the linearized Poisson–Boltzmann
equation without recourse to Derjaguin's approximation. Both particles may have either constant surface potential or constant
surface charge density. In the limit of κa
2→0, in particular, the interaction between a plate with zero surface charge density and a cylinder having constant surface
charge density becomes identical to the usual image interaction between a line charge (a charged rod of infinitesimal thickness)
and an uncharged plate.
Received: 22 September 1998 Accepted in revised form: 27 January 1999 |
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Keywords: | Cylinder/surface interaction Electrostatic interaction Image interaction |
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