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Shear-driven heat flow in absence of a temperature gradient

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  • R. Nettleton

Abstract

Jaynesian statistical inference is used to predict that steady, non-uniform Couette flow in a simple liquid will generate a heat flux proportional to the gradient of the square of the strain-rate when the temperature gradient is negligible. The heat flux is divided into phonon and self-diffusion components, with the latter coupling to the elastic strain and inelastic strain-rate. Operators for all these are substituted into the information-theoretic phase-space distribution. By taking moments of an exact equation for this distribution derived by Robertson, one obtains an evolution equation for the self-diffusion component of the heat flux which, in a steady state, predicts shear-driven heat flow. Copyright Società Italiana di Fisica, Springer-Verlag 1999

Suggested Citation

  • R. Nettleton, 1999. "Shear-driven heat flow in absence of a temperature gradient," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 11(2), pages 287-292, September.
    • Handle: RePEc:spr:eurphb:v:11:y:1999:i:2:p:287-292:10.1007/bf03219170
    DOI: 10.1007/BF03219170
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