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)=-alpha(m)rho(-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.
Kirsch
V A
VA
Institute of Physical Chemistry of the Russian Academy of Sciences, Leninsky Prospekt, 31, 119991Moscow, Russia. va_kirsch@yahoo.com
D015233:Models, Statistical; D008962:Models, Theoretical; D010825:Physics / Q000379:methods*; D013499:Surface Properties; D013816:Thermodynamics