Heat radiation @ near and far
Radiation Pressure from a hot-plate can in principle counteract Casimir attraction

Stefan-Boltzmann law suggest that heat transfer between two bodies is independent of their separation. Is this true?
Breaking the law, at the nanoscale (MIT news, July 29, 2009) S. Shen, A. Narayanaswamy, & G. Chen, Nano Lett. 9, 2909 (2009)

Near-field effects: At short separations heat exponentially decaying evanescent waves are dominant sources of heat transfer and pressure.
For a material absorbing/emitting a single dominant frequency, the heat flux and pressure diverge at small separations d as
Example of non-equilibrium Casimir levitation: M. Krüger, G .Bimonte, T. Emig, and M. Kardar, Phys. Rev. B 86, 115423 (2012)


A hot micro-sphere can levitate on top of a cold plate: Falls down if it cools down (due to heat transfer),