Temperature gradient and Fourier's law in gradient-mass harmonic systems
arXiv:1302.0478 · doi:10.1103/PhysRevE.87.052109
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.
http://link.aps.org/doi/10.1103/PhysRevE.87.052109
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