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We analyze the coupling between conduction and radiative heat transfer innear-field regime between two coaxial cylinders separated by a vacuum gap. Bysolving the heat transport equation in the steady-state regime between metalsor polar materials we highlight a flux saturation mechanism for the radiativetransfer even without non-local effect. In the case of polar materials thissaturation occurs in the separation distances range of 1 to 10 nm which can beexperimentally explored.

Coupling between conduction and near-field radiative heat transfer in tip-plane geometry