Local Normal Pressure in a Slit between a Nanodisk and a Solid Surface with Allowance for Dispersion Forces

Abstract

The Irving–Kirkwood pressure tensor and the pair potential of dispersion forces without retardation have been employed to calculate the local normal pressure on the end surface of a nanodisk, which faces an infinite planar solid surface and is located at some distance from the latter. Analytical and numerical methods have been used to study the dependences of the normal pressure on nanodisk radius and thickness, as well as on the distance between the nanodisk and the solid surface. The small contribution from the disk lateral surface to the total interaction force has been evaluated by comparing the total interaction forces between the nanodisk and the solid surface calculated, on the one hand, by the Hamaker method and, on the other hand, by integrating the local pressure at the end face of the nanodisk.