The natural transition from the radiative regime to the conductive regime ofheat transfer between two identical isotropic dielectric solid materials, isquestioned by investigating the possibility of induced phonon transfer invacuum. We describe the process in a general way assuming a certain phononcoupling mechanism between the two identical solids, then we particularlyillustrate the case of coupling through Casimir force. We analyze how thismechanism of heat transfer compares and competes with the near field thermalradiation using a local model of the dielectric function. We show that theformer mechanism can be very effective and even overpass the latter mechanismdepending on the nature of the solid dielectric materials, the distance gapbetween them as well as the operating temperature regime.
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