Chapter

Heat Conduction

Phil Attard

in Non-equilibrium Thermodynamics and Statistical Mechanics

Published in print October 2012 | ISBN: 9780199662760
Published online January 2013 | e-ISBN: 9780191745287 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199662760.003.0004
Heat Conduction

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Heat conduction, or steady heat flow, is the archetypal thermodynamic non-equilibrium system. This is treated here by analysing the regression of fluctuations of the energy moment. It is shown that the rate of change of the energy moment is equal to the heat flux. Fourier’s law is derived by maximising the second entropy. The Green-Kubo expression for the thermal conductivity is obtained from the time correlation of the energy moment, and it is illustrated by computer simulation results. The relationship between regression in an isolated equilibrium system, and non-equilibrium steady structure and flux maintained by reservoirs of different temperatures are explored.

Keywords: heat; conduction; Fourier; Green-Kubo; regression; conductivity; non-equilibrium; structure; flux

Chapter.  11493 words.  Illustrated.

Subjects: Condensed Matter Physics

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