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

  • K. V. Reich

Research output: Contribution to journal › Article › peer-review

Abstract

The heat flow and thermal profile in a one-dimensional (1D) harmonic lattice with coordinate-dependent masses have 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.

Original languageEnglish (US)
Article number052109
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume87
Issue number5
DOIs
StatePublished - May 8 2013
Externally publishedYes

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