Electrical interaction of a system containing multiple charged rigid spherical particles

Article Abstract:

The electrical interaction of a system of multiple charged particles in an electrolyte solution has been studied. A boundary integral method is used in solving the equation for the spatial variation of the electric potential. Only numerical evaluations are needed for the domain surfaces since the solution is in the form of surface integrals. This reduces the problem from its three-dimensional to a two-dimensional nature. The two-dimensional problem may be further reduced to a one-dimensional problem if there is axial symmetry.

Analysis, Numerical analysis, Electrolytes, Electric charge and distribution, Electric charge, Electrolytic conductivity, Boundary value problems

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Critical coagulation concentration of a colloidal suspension at high particle concentrations

Article Abstract:

The critical coagulation level of a spherical colloidal suspension at high particle concentrations was investigated. To this end, the total interaction energy was calculated using a statistical mechanics approach based on the Ornstein-Zernike model and Percus-Yevick relation. It was shown that the presence of particles surrounding two interacting particles reduces the total interaction energy between them and increases the likelihood of coagulation.

Colloids, Dynamics of a particle, Particle dynamics, Coagulation, Suspensions (Chemistry)

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Electrical interaction of a system containing arbitrary shaped, ion-penetrable charged particles

Article Abstract:

The electrical interaction energy for a system with arbitrary shaped, ion penetrable particles bearing fixed charges in an electrolyte solution under the Debye-Huckel condition was investigated using a mean field approach. Results showed that the interaction energy between tow particles can be decomposed into the product of two terms. One of the terms is a function of particle properties, while the other is independent of the properties.

Electric properties, Particles, Particulate matter, Materials, Electrolyte solutions, Electric properties of materials

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