Calculation of the van der Waals force between a spherical particle and an infinite cylinder

Formulae for the van der Waals attraction energy and force between a spherical particle and an infinite cylinder are derived by the method of additive summation of the pair interactions described by the potential of the general form U m =− α m ρ − m . The formula of Rosenfeld and Wasan for the non-r...

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Bibliographic Details
Published in:Advances in colloid and interface science 2003-07, Vol.104 (1), p.311-324
Main Author: Kirsch, V.A
Format: Article
Language:English
Subjects:
Additive approach
Models, Statistical
Models, Theoretical
Pair potential
Physics - methods
Retardation effect
Surface Properties
Thermodynamics
Van der Waals interaction
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Summary:Formulae for the van der Waals attraction energy and force between a spherical particle and an infinite cylinder are derived by the method of additive summation of the pair interactions described by the potential of the general form U m =− α m ρ − m . The formula of Rosenfeld and Wasan for the non-retarded vdW force between a sphere and a cylinder ( m=6) is confirmed and the compact expression for the retarded force ( m=7) is obtained. The comparison is given for the forces of the retarded vdW interaction between a sphere and a cylinder, another sphere, a row of spheres and a half-space. Also, the compact formulae for the energy of the vdW interaction of a point-like particle (atom, molecule) with a sphere and a cylinder are derived for the case of arbitrary m.
ISSN:0001-8686
1873-3727
DOI:10.1016/S0001-8686(03)00053-8