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arXiv · 1302.0478

Temperature gradient and Fourier's law in gradient-mass harmonic systems

K. V. Reich
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Abstract

Heat flow and thermal profile in a 1D harmonic lattice with coordinate-dependent masses has been calculated in the thermodynamic limit. It is shown in the particular example of a 1D harmonic lattice with linearly increasing masses that in standard Langevin conditions of contact, a temperature gradient can form, and Fourier's law can be obeyed.

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K. V. Reich. 2013-05-08. Temperature gradient and Fourier's law in gradient-mass harmonic systems. https://doi.org/10.1103/physreve.87.052109

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