Thermal radiation of nanoparticles occurring at a heated flat surface in vacuum

The most general expression for the rate of radiative heating (cooling) of an electrically neutral nanoparticle occurring in vacuum near a flat surface of a homogeneous polarizable medium is obtained for the first time. The magnetic polarizability of a conducting nanoparticle radically influences the rate of heat exchange between this particle and a metal surface. The rate of radiative cooling is several orders of magnitude higher than the power density of thermal radiation from a blackbody of the same size. This ratio is retained for micron size particles occurring at a distance of several hundred microns from the surface.