Thermal Disequilibrium
Radiation Pressure from a hot-plate can in principle counteract Casimir attraction
cf.
However, at short separations "near-field effects" due to evanescent waves lead to non-classical behavior.
Breaking the law, at the nanoscale (MITnews, July 29, 2009)
"Surface Phonon Polaritons Mediated Energy Transfer between Nanoscale Gaps,"
S. Shen, A. Narayanaswamy, & G. Chen, Nano Lett. 9, 2909 (2009)
Heat transfer between plates diverges at short distances due to evanescent waves (tunneling).
Example of non-equilibrium Casimir levitation:
"Trace formulas for nonequilibrium Casimir interactions, heat radiation, and heat transfer for arbitrary objects,"
M. Krüger, G .Bimonte, T. Emig, and M. Kardar, Phys. Rev. B 86, 115423 (2012)
A hot microsphere can levitate on top of a cold plate: Falls down if it cools down (due to heat transfer),