QED Fluctuation-Induced Pressure


Equilibrium (zero or finite temperature)

red ball"On the attraction between two perfectly conducting plates,"

H.B.G. Casimir, Proc. K. Ned. Akad. Wet. 51, 793 (1948)

yellow ball Quantum fluctuations of electromagnetic field in the vacuum between leads to an attractive force between perfect mirrors

        

red ball"The Theory of Molecular Attractive Forces Between Solids,"

E.M. Lifshitz, Soviet Physics 2, 73 (1956),

yellow ball Generalizes the result by considering fluctuating current sources in the bodies, and to finite temperatures.


Non-equilibrium steady state (different temperatures)

     

red ballRadiation Pressure at short separations pressure is non-classical and dominated by evanescent waves.

yellow ball "Casimir-Lifshitz force out of thermal equilibrium,"

M. Antezza, L.P. Pitaevskii, S. Stringari, V.B. Svetovoy, Phys. Rev. A 77, 022901 (2008)

red ballA generalized approach for computation of Casimir forces, as well as radiation and heat transfer.

yellow ball "Nonequilibrium Electromagnetic Fluctuations: Heat Transfer and Interactions,"

M. Krüger, T. Emig, and M. Kardar, Phys. Rev. Lett. 106, 210404 (2011)

Rytov (1959):      "Fluctuational QED"

yellow ball Fluctuating currents in each object are related to its temperature by a fluctuation-dissipation condition:

yellow ball The EM field due to thermal fluctuations of one object is related to overall Green's function by:

yellow ball The overall fluctuations with many objects at different temperatures is then given by:

yellow ball From EM correlations follow the stress tensor and the Poynting vector, hence forces and radiation.