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.

arXiv comment5 pages, 2 figures. Accepted by New Journal of Physics

References in corpus (39)

• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Surface Electromagnetic Waves Thermally Excited: Radiative Heat Transfer, Coherence Properties and Casimir Forces Revisited in the Near Field
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Observation of the thermal Casimir force
• Casimir force between metallic mirrors
• Berry curvature and 4-dimensional monopole in relativistic chiral kinetic equation
• Casimir and van der Waals force between two plates or a sphere (lens) above a plate made of real metals
• Kinetic theory for massive spin-1/2 particles from the Wigner-function formalism
• Topological spin transport of photons: the optical Magnus Effect and Berry Phase
• Non-equilibrium electromagnetic fluctuations: Heat transfer and interactions
• Relativistic Chiral Kinetic Theory from Quantum Field Theories
• Casimir interaction of dielectric gratings
• Casimir-Lifshitz force out of thermal equilibrium
• Collisions in Chiral Kinetic Theory
• Strong Casimir force reduction through metallic surface nanostructuring
• Relativistic Quantum Kinetic Theory for Massive Fermions and Spin Effects
• Complete and Consistent Chiral Transport from Wigner Function Formalism
• A new nonlocal nonlinear Schroedinger equation and its soliton solutions
• Thermal corrections to the Casimir effect
• Influence of slab thickness on the Casimir force
• Relativistic Quantum Transport Theory for Electrodynamics
• Casimir interaction of two plates inside a cylinder
• Effective quantum kinetic theory for spin transport of fermions with collsional effects
• Chiral kinetic theory in curved spacetime
• Lateral Casimir force on a rotating particle near a planar surface
• The chiral anomaly, Berry's phase and chiral kinetic theory, from world-lines in quantum field theory
• Casimir-Lifshitz force out of thermal equilibrium and asymptotic non-additivity
• Thermal Casimir Effect in the Plane-Sphere Geometry
• Upsilon Production as a Probe for Early State Dynamics in High Energy Nuclear Collisions at RHIC
• Thermal Casimir effect in ideal metal rectangular boxes
• Non-equilibrium Casimir forces: Spheres and sphere-plate
• Anomalous transport properties of Dirac and Weyl semimetals
• Consistent Relativistic Chiral Kinetic Theory: a derivation from OSEFT
• Photonic chiral vortical effect
• Wigner functions and quantum kinetic theory of polarized photons
• The chiral vortical effect in Wigner function approach
• Non-Equilibrium Quantum Transport of Chiral Fluids from Kinetic Theory
• Inhomogeneity-Induced Casimir Transport of Nanoparticles
• Quantum propulsion and trapping of nano-objects by inhomogeneity-induced lateral Casimir forces

Cited by in corpus (1)

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