Universal heat conduction -- the thermodynamics of some weakly nonlocal theories

Details Universal heat conduction -- the thermodynamics of some weakly nonlocal theories Universal heat conduction -- the thermodynamics of some weakly nonlocal theories

2011-08-29

arxiv.org/abs/1108.5589v2

Physics

Condensed Matter

Statistical Mechanics

revised and extended, 13 pages, 9 figures

Scientific paper

A linear irreversible thermodynamic framework of heat conduction in rigid conductors is introduced. The deviation from local equilibrium is characterized by a single internal variable and a current intensity factor. A general constitutive evolution equation of the current density of the internal energy is derived by introducing linear relationship between the thermodynamic forces and fluxes. The Fourier, Maxwell-Cattaneo-Vernotte, Guyer-Krumhansl, Jeffreys type and Green-Naghdi type equations of heat conduction are obtained as special cases. The universal character of the approach is demonstrated by two examples. Solutions illustrating the properties of the equation with jump boundary conditions are given.

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