Casimir effect in kinetic theory

Abstract

We study Casimir effect in equilibrium and non-equilibrium photon gas in the frame of quantum kinetic theory for $U(1)$ gauge field. We derive first the transport, constraint and gauge fixing equations for the photon number distribution from Maxwell's equations, and then calculate the energy variation and Casimir force for a finite system by considering boundary condition on the surface of the system. The Casimir force in vacuum is suppressed by the thermal motion of photons in equilibrium state, when considering two adiabatic plates. In non-equilibrium state, the photon induced Casimir force oscillates and decays with time and finally disappears.

5 pages, 2 figures. Accepted by New Journal of Physics

References in corpus (10)

• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Casimir interaction of dielectric gratings
• Casimir-Lifshitz force out of thermal equilibrium
• Collisions in Chiral Kinetic Theory
• Thermal corrections to the Casimir effect
• Influence of slab thickness on the Casimir force
• Casimir interaction of two plates inside a cylinder
• Casimir-Lifshitz force out of thermal equilibrium and asymptotic non-additivity
• Upsilon Production as a Probe for Early State Dynamics in High Energy Nuclear Collisions at RHIC
• Thermal Casimir effect in ideal metal rectangular boxes

Cited by in corpus (1)

• Effective model for pure Yang-Mills theory on ${\mathbb{T}}^2\times {\mathbb{R}}^2$ with Polyakov loops