Abstract The van der Waals potential between two arbitrary surfaces regarding to the curvature effect is investigated based on surface theory. It is expressed as a function of local curvatures… Click to show full abstract
Abstract The van der Waals potential between two arbitrary surfaces regarding to the curvature effect is investigated based on surface theory. It is expressed as a function of local curvatures based on the negative power function (u(r) = Cr−n). Numerical experiments are designed to test the accuracy of curvature-based potential. Corresponding to certain problems, parametric effect for three cases considering the L-J approximation model is discussed, i.e. cylinder-cylinder, ellipsoid-flat surface and spherical particle-sinusoidal surface. The work reveals the domain effect of curvatures for the vdW potential and provide a convenient way to analyze geometrical effect for complex surface in biological and chemical systems.
               
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