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Temperature gradient and Fourier's law in gradient-mass harmonic systems
1Ioffe Physical-Technical Institute, 194021 St. Petersburg, Russia. Reich@mail.ioffe.ru
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.
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