2011/08/31 by P. Ván, T. Fülöp · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.other
paper · pdf · doi:10.1002/andp.201200042
published as Annalen der Physik (Berlin), 524, No. 8, 470-478, 2012 · revised; 15 pages, 9 figures; accepted in Annalen der Physik
arxiv created 2012/06/17 · arxiv updated 2014/04/08
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.