Vacuum induced phonon transfer between two solid dielectric materials: Illustrating the case of Casimir force coupling

Abstract

The natural transition from the radiative regime to the conductive regime of heat transfer between two identical isotropic dielectric solid materials, is questioned by investigating the possibility of induced phonon transfer in vacuum. We describe the process in a general way assuming a certain phonon coupling mechanism between the two identical solids, then we particularly illustrate the case of coupling through Casimir force. We analyze how this mechanism of heat transfer compares and competes with the near field thermal radiation using a local model of the dielectric function. We show that the former mechanism can be very effective and even overpass the latter mechanism depending on the nature of the solid dielectric materials, the distance gap between them as well as the operating temperature regime.

16 pages, 4 figures and 1 table

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• Theory of generalized Josephson effects
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• Nonlocal study of the near field radiative heat transfer between two n-doped semiconductors
• Complete tunneling of acoustic waves between closely spaced piezoelectric crystals
• Saturation of radiative heat transfer due to many-body thermalization
• On the heat transfer across a vacuum gap mediated by Casimir force
• Van der Waals force assisted heat transfer for vacuum gap spacings