Effect of Nonzero Solid Permittivity on the Electrical Repulsion between Charged Surfaces

Langmuir : the ACS Journal of Surfaces and Colloids
J D Sherwood, S Ghosal

Abstract

The electrical repulsion between two charged solid surfaces separated by an electrolyte is studied as a function of the permittivity ϵs of the solid in the limit in which potentials are small, and the gap between the plane solid surfaces is small compared to the Debye length κ-1 within the electrolyte. The solid surfaces are uniformly charged in a central region |x|< L outside which they are uncharged. When ϵs = 0, ions from the charge cloud between the charged surfaces spill out into regions of length O(κ-1) beyond x = ± L, thereby reducing the pressure between the surfaces from that predicted by Derjaguin-Landau-Verwey-Overbeek theory for infinite, uniformly charged surfaces. When ϵs>0, ions spill out over much larger O(L) regions, thereby reducing still further both the electrical potential between the solid surfaces and the repulsive force between them. However, this reduction becomes smaller as κL becomes large.

References

Feb 7, 2013·Langmuir : the ACS Journal of Surfaces and Colloids·Albert P PhilipseAgienus Vrij
Mar 19, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Dan Ben-YaakovHaim Diamant
Sep 10, 2016·The Journal of Chemical Physics·Thiago CollaYan Levin
Apr 26, 2018·Soft Matter·Maximilian MußotterS Dietrich
Nov 28, 2019·Physical Review. E·Ladislav Šamaj, Emmanuel Trizac
Dec 14, 2019·Langmuir : the ACS Journal of Surfaces and Colloids·Biljana StojimirovićGregor Trefalt

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