Abstract
We study the stopping of spinning particles in vacuum. A torque is produced by fluctuations of the vacuum electromagnetic field and the particle polarization. Expressions for the frictional torque and the power radiated by the particle are obtained as a function of rotation velocity and the temperatures of the particle and the surrounding vacuum. We solve this problem following two different approaches: (i) a semiclassical calculation based upon the fluctuation-dissipation theorem (FDT), and (ii) a fully quantum-mechanical theory within the framework of quantum electrodynamics, assuming that the response of the particle is governed by bosonic excitations such as phonons and plasmons. Both calculations lead to identical final expressions, thus confirming the suitability of the FDT to deal with problems that are apparently out of equilibrium, and also providing comprehensive insight into the physical processes underlying thermal and vacuum friction. We adapt the quantum-mechanical theory to describe particles whose electromagnetic response is produced by fermionic excitations. Furthermore, we extend our FDT formalism to fully account for magnetic polarization, which dominates friction when the particle is a good conductor. Finally, we present numerically calculated torques and stopping times for the relevant cases of graphite and gold nanoparticles.
- Received 5 October 2010
DOI:https://doi.org/10.1103/PhysRevA.82.063827
© 2010 The American Physical Society
Erratum
Erratum: Thermal and vacuum friction acting on rotating particles [Phys. Rev. A 82, 063827 (2010)]
A. Manjavacas and F. J. García de Abajo
Phys. Rev. A 87, 019904 (2013)
Synopsis
Friction in a vacuum
Published 7 January 2011
Calculations show that vacuum electromagnetic fluctuations can be a source of rotational friction on a spinning particle.
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