Electrostatic Interaction of Dielectric Particles in an Electrolytic Solution

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On the basis of the Poisson-Boltzmann equation the electrostatic interaction between two charged dielectric spherical particles in a symmetric electrolyte solution is considered. The interaction forces between particles of the same radius under the condition of uniform charge distribution on their surfaces in the absence of an external field have been calculated by the finite element method. The dependence of the electrostatic repulsion forces between the particles on the magnitude of the particle charges and the dielectric permittivities of the particle materials and the surrounding medium has been analyzed.

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Sobre autores

S. Grashchenkov

Псковский государственный университет

Autor responsável pela correspondência
Email: grasi@mail.ru
Rússia, Псков

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2. Fig. 1. Structure of the initial computational domain

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3. Fig. 2. Dependence of the normalised force of electrostatic interaction of particles on the normalised distance between particle surfaces at k = 0.1: 1 - f = 1, ε = 0.1; 2 - f = 1, ε = 1; 3 - f = 1, ε = 10; 4 - f = 10, ε = 0.1; 5 - f = 10, ε = 1; 6 - f = 10, ε = 10

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4. Fig. 3. Dependence of the normalised force of electrostatic interaction of particles on the normalised distance between the particle surfaces at k = 1: 1 - f = 1, ε = 0.1; 2 - f = 1, ε = 1; 3 - f = 1, ε = 10; 4 - f = 10, ε = 0.1; 5 - f = 10, ε = 1; 6 - f = 10, ε = 10; dotted line - LS approximation

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5. Fig. 4. Dependence of the normalised force of electrostatic interaction of particles on the normalised distance between the surfaces of particles at k = 10: 1 - f = 1, ε = 0.1; 2 - f = 1, ε = 1; 3 - f = 1, ε = 10; 4 - f = 10, ε = 0.1; 5 - f = 10, ε = 1; 6 - f = 10, ε = 10

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6. Fig. 5. Dependence of the normalised force of electrostatic interaction of particles on f at h/a = 0.1: 1 - k = 0.1, ε = 0.1; 2 - k = 0.1, ε = 1; 3 - k = 0.1, ε = 10; 4 - k = 1, ε = 0.1; 5 - k = 1, ε = 1; 6 - k = 1, ε = 10

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7. Fig. 6. Dependence of the normalised force of electrostatic interaction of particles on f at h/a = 0.1 and k = 10: 1 - ε = 0.1; 2 - ε = 1; 3 - ε = 10

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8. Fig. 7. Dependence of the normalised force of electrostatic interaction of particles on f at h/a = 2: 1 - k = 0.1, ε = 0.1; 2 - k = 0.1, ε = 1; 3 - k = 0.1, ε = 10; 4 - k = 1, ε = 0.1; 5 - k = 1, ε = 10

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9. Fig. 8. Dependence of the force of electrostatic interaction of particles on the distance between the particle centres at k = 0.59, f = 7.8, ε = 1.26. The rhombuses represent experimental data [20]

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