Mesoscopic Thermal Transport through a Weak Link

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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Phonons 2001 Conference Proceedings, Revtex

Scientific paper

10.1016/S0921-4526(02)00539-2

We consider mesoscopic thermal transport between two bulk dielectrics joined by a narrow wire or weak mechanical link. In the ``tunneling'' regime where the phonon transmission probability through the link is small and the thermal conductance is much less than the value for a single channel, the thermal current is determined by a product of the local vibrational spectral densities of the two bodies. We derive an expression for the thermal current that is a thermal analog of the well-known formula for the electrical current through a tunneling barrier.

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