Quantum Friction and van der Waals Friction in Configuration Particle-Plate and Plate-Plate: Nonlocal Effects

In the nonrelativistic approximation of fluctuation electrodynamics, using the specular reflection model and the nonlocal dielectric permittivity of a metal, simple analytical expressions are obtained for the friction forces in the particle-plate and plate-plate configurations at relative motion of bodies with constant velocity. It has been shown that at distances of about 1-10 nm, for an Au nanoparticle (or a gold plate) moving near another similar plate at rest, the dissipative forces are 2-4 orders of magnitude higher than when using the Drude local dielectric function.