On the electrostatic interaction of dielectric particles in an electrolyte solution in the strong screening regime

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Abstract

The electrostatic interaction between two identical charged dielectric spherical particles in a symmetric electrolyte solution is studied based on the Poisson-Boltzmann equation. Particular attention is paid to the case of high surface potentials of particles, whose radii are significantly larger than the Debye radius. Using the finite element method, the interaction forces between the particles are calculated under the assumption of a uniform charge distribution on their surfaces and in the absence of an external electric field. This study demonstrates that accounting for the nonlinearity of the Poisson-Boltzmann equation may be essential, even when the surface potentials of particles are sufficiently small, allowing for the formal application of the linearized Poisson-Boltzmann equation. The results obtained can be useful for understanding processes in colloidal systems and analyzing experiments on the interaction of micron-sized particles in electrolyte solutions.

About the authors

S. I. Grashchenkov

Pskov State University

Email: grasi@mail.ru
pl. Lenin, 2, Pskov, 180000 Russia

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In the print version, the article was published under the DOI: 10.31857/S0023291225020023


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