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Systems with a constant heat flux with applications to radiative heat transport across nanoscale gaps and layers

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Abstract

We extend the statistical analysis of equilibrium systems to systems with a constant heat flux. This extension leads to natural generalizations of Maxwell–Boltzmann’s and Planck’s equilibrium energy distributions to energy distributions of systems with a net heat flux. This development provides a long needed foundation for addressing problems of nanoscale heat transport by a systematic method based on a few fundamental principles. As an example, we consider the computation of the radiative heat flux between narrowly spaced half-spaces maintained at different temperatures.

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Authors and Affiliations

  1. University of California, Berkeley, CA, 94720-1740, USA

    Bair V. Budaev & David B. Bogy

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  1. Bair V. Budaev
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  2. David B. Bogy
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Correspondence to Bair V. Budaev.

Additional information

This work was supported by the Mechanical Engineering Sciences Graduate Fellowship Fund at UC Berkeley established by D. B. Bogy.

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Budaev, B.V., Bogy, D.B. Systems with a constant heat flux with applications to radiative heat transport across nanoscale gaps and layers. Z. Angew. Math. Phys. 69, 71 (2018). https://doi.org/10.1007/s00033-018-0950-9

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  • DOI: https://doi.org/10.1007/s00033-018-0950-9

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