  We calculate the quantum heat generation, the interaction force and the
frictional torque for two rotating spherical nanoparticles with a radius $R$.
In contrast to the static case, when there is an upper limit in the radiative
heat transfer between the particles, for two rotating nanoparticles the quantum
heat generation rate diverges when the angular velocity becomes equal to the
poles in the photon emission rate. These poles arise for the separation $d
<d_0= R(3/\varepsilon''(\omega_0))^{1/3}$ (where $\varepsilon''(\omega_0)$ is
the imaginary part of the dielectric function for the particle material at the
surface phonon or plasmon polariton frequency $\omega_0$ ) due to the anomalous
Doppler effect and the mutual polarization of the particles and they exist even
for the particles with losses. Similar singularities exist also for the
interaction force and the frictional torque. The obtained results can be
important for biomedical applications.
