Anomalous Doppler Effect Singularities in the Radiative Heat Generation, Interaction Force and Frictional Torque for two Rotating Nanoparticles

Abstract

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 $d<d_0=R(3/{\epsilon }^{\prime \prime }({\omega }_0){)}^{1/3}$ (where ${\epsilon }^{\prime \prime }({\omega }_0)$ 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.

7 pages, 3 figures

References in corpus (5)

• Rotational Quantum Friction
• The Casimir frictional drag force between a SiO2 tip and a graphene-covered SiO2 substrate
• Giant non-equilibrium vacuum friction: Role of singular evanescent wave resonances in moving media
• Adsorbate vibrational mode enhancement of radiative heat transfer
• Fluctuation Electromagnetic Interaction Between Small Rotating Particle and a Surface

Cited by in corpus (3)

• Quantum Rolling Friction
• Singular resonance in fluctuation-electromagnetic phenomena during the rotation of a nanoparticle near a surface
• Spectroscopic footprints of quantum friction in nonreciprocal and chiral media