Perspectives on quantum friction, self-propulsion, and self-torque

This paper provides an overview of the nonequilibrium fluctuational forces and torques acting on a body either in motion or at rest relative to another body or to the thermal vacuum blackbody radiation. We consider forces and torques beyond the usual static Casimir-Polder and Casimir forces and torques. For a moving body, a retarding force emerges, called quantum or Casimir friction, which in vacuum was first predicted by Einstein and Hopf in 1910. Nonreciprocity may allow a stationary body, out of thermal equilibrium with its environment, to experience a torque. Moreover, if a stationary reciprocal body is not in thermal equilibrium with the blackbody vacuum, a self-propulsive force or torque can appear, resulting in a potentially observable linear or angular terminal velocity , even after thermalization.