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Based on a microscopic approach, we propose a Lagrangian for the combinedsystem of a rotating dielectric nanoparticle above a plane surface in thepresence of electromagnetic vacuum fluctuations. In the framework of canonicalquantization, the electromagnetic vacuum field is quantized in the presence ofdielectric fields describing the nanoparticle and a semi-infinite dielectricwith planar interface. The radiative heat power absorbed by the rotatingnanoparticle is obtained and the result is in agreement with previous resultswhen the the rotational frequency of the nanoparticle is zero or much smallerthan the relaxation frequency of the dielectrics. The well known near fieldeffect is reexamined and discussed in terms of the rotational frequency. Theradiative heat power absorbed by the nanoparticle for well-known peakfrequencies, is plotted in terms of the rotational frequency showing aninteresting effect resembling a phase transition around a critical frequency,determined by the relaxation frequency of the dielectrics.

The radiative heat transfer between a rotating nanoparticle and a plane surface