Electrodynamic friction of a charged particle passing a conducting plate

Abstract

The classical electromagnetic friction of a charged particle moving with prescribed constant velocity parallel to a planar imperfectly conducting surface is reinvestigated. As a concrete example, the Drude model is used to describe the conductor. The transverse electric and transverse magnetic contributions have very different character both in the low velocity (nonrelativistic) and high velocity (ultrarelativistic) regimes. Both numerical and analytical results are given. Most remarkably, the transverse magnetic contribution to the friction has a maximum for $|\mathbf{v}|<c$, and persists in the limit of vanishing resistivity for sufficiently high velocities. We also show how Vavilov-Čerenkov radiation can be treated in the same formalism.

arXiv comment13 pages, 7 figures. This is the extensively revised version accepted by Physical Review Research

References in corpus (3)

• On the Temperature Dependence of the Casimir Effect
• The Reality of Casimir Friction
• Temperature Dependence of the Casimir Effect

Cited by in corpus (3)

• The energetics of quantum vacuum friction: Field fluctuations
• Energetics of quantum vacuum friction. II: Dipole fluctuations and field fluctuations
• Self-force on moving electric and magnetic dipoles: dipole radiation, Vavilov-Čerenkov radiation, friction with a conducting surface, and the Einstein-Hopf effect