Skip to main content
Log in

On thermal radiation across nanoscale gaps

  • Published:
Zeitschrift für angewandte Mathematik und Physik Aims and scope Submit manuscript

Abstract

It is shown that the analysis of radiative heat transport across a nanoscale gap cannot ignore the correlation between radiations from the different sides of the gap. This correlation can be neglected in two cases: when the gap is considerably wider than the dominant wavelength of radiation and when the temperatures on different sides of the gap are equal.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Planck M.: The Theory of Heat Radiation. P. Blakiston’s Son & Co, Philadelphia (1914)

    Google Scholar 

  2. Hargreaves C.M.: Anomaloous radiative transfer between closely-spaced bodies. Phys. Lett. A 30(9), 491–492 (1969)

    Article  Google Scholar 

  3. Domoto G.A., Boehm R.F., Tien C.L.: Experimental investigation of radiative transfer between metallic surfaces at cryogenic temperatures. J. Heat Transf. 92(3), 412–416 (1970). doi:10.1115/1.3449677

    Article  Google Scholar 

  4. Cravalho E.G., Tien C.L., Caren R.P.: Effect of small spacing on radiative transfer between two dielectrics. J. Heat Transf. 89(3), 351–358 (1967)

    Article  Google Scholar 

  5. Polder D., van Hove N.: Theory of radiative heat transfer between closely spaced bodies. Phys. Rev. B 4(10), 3303–3314 (1971)

    Article  Google Scholar 

  6. Levin, M.L., Polevoi, V.G., Rytov, S.M.: Contribution of the theory of heat exchange due to a fluctuating electromagnetic field. Sov. Phys. JETP 52(6), 1054–1063 (1980) [Original in Zh. Eksp. Teor. Fiz. 79, 2087–2103 (1980)]

  7. Rytov S.M., Kravtsov Yu.A., Tatarskii V.I.: Principles of Statistical Radiophysics. 3. Elements of Random Fields. Springer, Berlin (1987)

    Book  Google Scholar 

  8. Landau L.D., Lifshitz E.M.: Electrodynamics of Continuous Media. Course of Theoretical Physics, vol. 8. Pergamon Press, UK (1960)

    Google Scholar 

  9. Landau L.D., Lifshitz E.M.: Statistical Physics. Pergamon Press, UK (1958)

    MATH  Google Scholar 

  10. Basu S., Zhang Z.M., Fu C.J.: Review of near-field thermal radiation and its application to energy conversion. Int. J. Energy Res. 33, 1203–1232 (2009)

    Article  Google Scholar 

  11. Narayanaswamy, A., Zheng, Y.: A Green’s function formalism of energy and momentum transfer in fluctuational electrodynamics. J. Quant. Spectrosc. Radiat. Transf. (2013). doi:10.1016/j.jqsrt.2013.01.002i

  12. Volokitin A.I., Person B.N.J.: Radiative transport between nanostructures. Phys. Rev. B 63, 205404-1–205404-10 (2001)

    Article  Google Scholar 

  13. Rytov S.M.: Theory of Electric Fluctuations and Thermal Radiation. Air Force Cambridge Research Center, Bedford (1959)

    Google Scholar 

  14. Rytov, S.M., Levin, M.L.: Theory of equilibrium thermal fluctuations in electrodynamics. Nauka, Moscow (1967) (in Russian)

  15. Otey C.R., Zhu L., Sandhu S., Fan S.: Fluctuational electrodynamics calculations of near-field heat transfer in non-planar geometries: a brief overview. J. Quant. Spectrosc. Radiat. Transf. 132, 3–11 (2014)

    Article  Google Scholar 

  16. Chen G.: Nanoscale Energy Transport and Conversion. A Parallel Treatment of Electrons, Molecules, Phonons, and Photons. Oxford University Press, Oxford (2005)

    Google Scholar 

  17. Zhang Zh.M.: Nano/Microscale Heat Transport. McGraw Hill, New York (2007)

    Google Scholar 

  18. Pendry J.B.: Radiative exchange of heat between nanostructures. J. Phys. Condens. Matter 11(35), 6621–6633 (1999)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bair V. Budaev.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Budaev, B.V., Bogy, D.B. On thermal radiation across nanoscale gaps. Z. Angew. Math. Phys. 66, 2061–2068 (2015). https://doi.org/10.1007/s00033-015-0502-5

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00033-015-0502-5

Mathematics Subject Classification

Navigation