Nonlocal Friction Forces in the Particle-Plate and Plate-Plate Configurations: Nonretarded Approximation

In the nonrelativistic approximation of fluctuation electrodynamics, using the specular reflection model and the nonlocal dielectric permittivity of a metal, we obtained simple analytical expressions for the friction forces in the particle-plate and plate-plate systems upon relative motion of the bodies with constant velocity. It is shown that at separations of about 1{\div}10 nm, for an Au nanoparticle (or a gold plate) moving near another gold plate at rest, the dissipative forces are 2 to 4 orders of magnitude higher than in the case when the local Drude dielectric permittivity is used.