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Trace formulas for nonequilibrium Casimir interactions, heat radiation, and heat transfer for arbitrary objects

Trace formulas for nonequilibrium Casimir interactions, heat radiation, and heat transfer for arbitrary objects

We present a detailed derivation of heat radiation, heat transfer, and (Casimir) interactions for $N$ arbitrary objects in the framework of fluctuational electrodynamics in thermal nonequilibrium. The results can be expressed as basis-independent trace formulas in terms of the scattering operators of the individual objects. We prove that heat radiation …