Classical van der Waals heat flow between oscillators and between half-spaces

We find the steady-state heat flow P between two classical harmonic oscillators having natural frequency ω0, dynamically identical, damped, and acted on by Langevin forces appropriate, respectively, to temperatures T1 and T2 (with kBT1,2 > ω0). Retardation and relativistic effects are disregarded...

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Bibliographic Details
Published in:Journal of physics. Condensed matter 2015-06, Vol.27 (21), p.214005-214005
Main Author: Barton, Gabriel
Format: Article
Language:English
Subjects:
Casimir heat-flows
nanoscale heat-flows
van der Waals steady states
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Summary:We find the steady-state heat flow P between two classical harmonic oscillators having natural frequency ω0, dynamically identical, damped, and acted on by Langevin forces appropriate, respectively, to temperatures T1 and T2 (with kBT1,2 > ω0). Retardation and relativistic effects are disregarded. Considered individually, each of the two normal modes of the joint system behaves as if it were in equilibrium at the average temperature (T1 + T2)/2, but the modes are correlated, and it is these correlations that govern P. From P one readily calculates the classical heat flow per unit area between two Drude-modelled half-spaces. It emerges that, by contrast to equilibrium statistical mechanics, theories of such steady-state systems must generally specify the mechanism they envisage for enforcing the nominally prescribed temperatures.
ISSN:0953-8984
1361-648X
DOI:10.1088/0953-8984/27/21/214005