Radiation and Dynamics of Nanoparticle in Equilibrium Background Radiation upon Translational-Rotational Motion

TL;DR

This paper derives general formulas for the radiation intensity and tangential force on a small polarizable particle moving with combined translation and rotation in a thermal photon background, revealing dependencies on velocity, orientation, and polarizability.

Contribution

It provides new analytical expressions for radiation and force on a nanoparticle in combined translational-rotational motion within equilibrium radiation, considering arbitrary orientations.

Findings

In cold vacuum, particle velocity remains constant over time.

Spontaneous emission intensity depends on angular velocity and polarizability.

Derived formulas apply to particles in thermalized photon gases at any orientation.

Abstract

We have obtained general expressions for the intensity of radiation and tangential force of a small polarizable particle in the process of translational-rotational motion in equilibrium radiation background (thermalized photon gas) of certain temperature at an arbitrary relative orientation of the linear and angular velocity vectors. It is shown that in cold vacuum background the translational velocity of particle is independent of time and the intensity of its spontaneous emission is determined by the angular velocity and imaginary part of the polarizability.