Derivation of Interaction Energy and Force Between Identical Spheres in Linear Superposition Approximation

Abstract

Abstract: We define an effective surface potential of spherical particle, which can be decomposed as φ(κh)=Y(h)+ΔY(h). First part of the effective surface potential is the unperturbed surface potential which is expressed by equation(6) in the text and other part is a perturbed surface potential of the particle due to the presence of the other particle. Furthermore, a detailed derivation of interaction energy and force between identical spheres in linear superposition approximation is presented. Thus very simple analytic formulas are presented between two identical spherical particles for interaction energy at moderate potential. The agreement with exact numerical results is considerably improved for free energy, but not force. The reason is that the relation of the energy and the force is the relation of integration and differentiation but integration can smooth an integrand and defferentiation exposes singularity of a function. Terefore, the agreement with exact numerical results is better for free energy, but not force.

Key words: Colloid, Linear superposition, Interaction energy

CLC Number:

O648.14

TrendMD:

CHEN Chong-Jun, CHEN Xiao-Dong, LUO Gen-Xiang, JIN Jun, WANG Hao-Ping . Derivation of Interaction Energy and Force Between Identical Spheres in Linear Superposition Approximation[J]. Chem. J. Chinese Universities, 2001, 22(6): 995.

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Derivation of Interaction Energy and Force Between Identical Spheres in Linear Superposition Approximation

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