Fourier's law of heat conduction in a three dimensional harmonic crystal: A retrospection

Details Fourier's law of heat conduction in a three dimensional harmonic crystal: A retrospection Fourier's law of heat conduction in a three dimensional harmonic crystal: A retrospection

2011-06-23

arxiv.org/abs/1106.4715v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 figures

Scientific paper

We present an exact solution of the Langevin's equation in the steady state
limit in a three dimensional, harmonic crystal of slab geometry whose boundary
surfaces along its length are connected to two stochastic, white noise heat
baths at different temperatures. We show that the heat trasport obeys the
Fourier's law in the continuum limit.

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