  This paper presents the results of calculating Casimir-Lifshitz friction
force and heating rate of a small metal particle moving above a metal surface
(thick plate) in the case of their different local temperatures. The case of
normal nonmagnetic metals (Au) is considered. There is a strong interplay of
temperatures, particle velocity and separation distance resulting in an
anomalous direction of the heat flux between the bodies and a peak temperature
dependence of the friction force at sufficiently low temperatures. In
particular, a hot moving particle can additionally receive heat from a cold
surface. The conditions for experimental measurement of these effects are
discussed.
