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arxiv: 1106.4715 · v1 · pith:ORY6ZTPGnew · submitted 2011-06-23 · ❄️ cond-mat.stat-mech

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

classification ❄️ cond-mat.stat-mech
keywords heatcrystaldimensionalfourierharmoniclimitthreealong
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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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