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

Research output: Contribution to journalArticle

5 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 languageEnglish (US)
Article number205438
JournalPhysical Review B
Volume94
Issue number20
DOIs
StatePublished - Nov 28 2016

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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