Exact formulas for radiative heat transfer between planar bodies under arbitrary temperature profiles: Modified asymptotics and sign-flip transitions

Riccardo Messina; Weiliang Jin; Alejandro W. Rodriguez

doi:10.1103/PhysRevB.94.205438

Exact formulas for radiative heat transfer between planar bodies under arbitrary temperature profiles: Modified asymptotics and sign-flip transitions

Riccardo Messina, Weiliang Jin, Alejandro W. Rodriguez

Princeton University

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We derive exact analytical formulas for the radiative heat transfer between parallel slabs separated by vacuum and subject to arbitrary temperature profiles. We show that, depending on the derivatives of the temperature at points close to the slab-vacuum interfaces, the flux can exhibit one of several different asymptotic low-distance (d) behaviors, obeying either 1/d2,1/d, or logarithmic power laws, or approaching a constant. Tailoring the temperature profile within the slabs could enable unprecedented tunability over heat exchange, leading for instance to sign-flip transitions (where the flux reverses sign) at tunable distances. Our results are relevant to the theoretical description of on-going experiments measuring near-field heat transfer at nanometric distances, where the coupling between radiative and conductive transfer could result in temperature gradients.

Original language	American English
Article number	205438
Journal	Physical Review B
Volume	94
Issue number	20
DOIs	https://doi.org/10.1103/PhysRevB.94.205438
State	Published - Nov 28 2016

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1103/PhysRevB.94.205438

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abstract = "We derive exact analytical formulas for the radiative heat transfer between parallel slabs separated by vacuum and subject to arbitrary temperature profiles. We show that, depending on the derivatives of the temperature at points close to the slab-vacuum interfaces, the flux can exhibit one of several different asymptotic low-distance (d) behaviors, obeying either 1/d2,1/d, or logarithmic power laws, or approaching a constant. Tailoring the temperature profile within the slabs could enable unprecedented tunability over heat exchange, leading for instance to sign-flip transitions (where the flux reverses sign) at tunable distances. Our results are relevant to the theoretical description of on-going experiments measuring near-field heat transfer at nanometric distances, where the coupling between radiative and conductive transfer could result in temperature gradients.",

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AB - We derive exact analytical formulas for the radiative heat transfer between parallel slabs separated by vacuum and subject to arbitrary temperature profiles. We show that, depending on the derivatives of the temperature at points close to the slab-vacuum interfaces, the flux can exhibit one of several different asymptotic low-distance (d) behaviors, obeying either 1/d2,1/d, or logarithmic power laws, or approaching a constant. Tailoring the temperature profile within the slabs could enable unprecedented tunability over heat exchange, leading for instance to sign-flip transitions (where the flux reverses sign) at tunable distances. Our results are relevant to the theoretical description of on-going experiments measuring near-field heat transfer at nanometric distances, where the coupling between radiative and conductive transfer could result in temperature gradients.

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Exact formulas for radiative heat transfer between planar bodies under arbitrary temperature profiles: Modified asymptotics and sign-flip transitions

Abstract

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