Radiative Resistance at The Nano-scale: Thermal Barrier

TL;DR

This paper investigates radiative thermal resistance in a multi-slab system, revealing how a middle slab can act as an effective thermal barrier with variable resistance depending on its thickness and separation distance.

Contribution

It introduces exact formulations for radiative thermal current and resistance, analyzing the impact of a middle slab as a thermal barrier in near- and far-field regimes.

Findings

Thermal resistance increases with barrier thickness in near-field.

Barrier insensitivity to width in far-field regime.

Middle slab acts as an effective thermal barrier.

Abstract

In present article the radiative thermal current and radiative resistance are introduced and investigated in a system of parallel slabs. The system is placed in an environment with a constant temperature and subjected to a constant temperature gradient, which causes a radiative energy flux through the system. We have calculated the steady-state temperatures profile of the system, assuming that the material and thickness of the middle slab could be different from the other slabs. We propose the exact formulation for calculating the thermal current and thermal resistances in both linear and nonlinear regimes. According to our results, the middle slab acts as a thermal barrier and depending on the width of this barrier, an extreme thermal isolation is achievable. Simulation results indicate that the thermal resistance of the barrier is an increasing function of the thickness for near-field separation distances but it is virtually insensitive to the barrier width in far field regime. The long range character of the radiative heat transfer, which occurs in system with identical slabs is also discussed.