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arXiv · 1106.4715

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

Shiladitya Acharya·Krishnendu Mukherjee
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Abstract

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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Shiladitya Acharya, Krishnendu Mukherjee. 2011-06-23. Fourier's law of heat conduction in a three dimensional harmonic crystal: A retrospection. https://arxiv.org/abs/1106.4715

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