Temperature gradient and Fourier's law in gradient-mass harmonic systems
Statistical Mechanics
2013-05-09 v2
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.
Keywords
Cite
@article{arxiv.1302.0478,
title = {Temperature gradient and Fourier's law in gradient-mass harmonic systems},
author = {K. V. Reich},
journal= {arXiv preprint arXiv:1302.0478},
year = {2013}
}
Comments
http://link.aps.org/doi/10.1103/PhysRevE.87.052109