title: Temperature gradient and Fourier's law in gradient-mass harmonic systems.
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.
authors.affiliation: Ioffe Physical-Technical Institute, 194021 St. Petersburg, Russia. Reich@mail.ioffe.ru
authors.forename: K V
authors.initials: KV
authors.lastname: Reich
mesh_terms: D003198:Computer Simulation; D008962:Models, Theoretical; D009991:Oscillometry / Q000379:methods*; D013696:Temperature; D013814:Thermal Conductivity; D013816:Thermodynamics