Fourier's law from closure equations
(2007) Physical Review Letters — Vol. 98, n° 21 (2007)
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- Abstract
- We sketch a rigorous derivation of Fourier's law from a system of closure equations for a nonequilibrium stationary state of a Hamiltonian system of coupled oscillators subjected to heat baths on the boundary. The local heat flux is proportional to the temperature gradient with a temperature dependent heat conductivity and the stationary temperature exhibits a nonlinear profile.
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Bricmont, J., & Kupiainen, A. (2007). Fourier’s law from closure equations. Physical Review Letters, 98(21). https://doi.org/10.1103/PhysRevLett.98.214301 (Original work published 2007)