J. Non-Equilib. Thermodyn. 2005 Vol. 30 pp. 375-383
Close-to-Fourier heat conduction equation of solids of constant mass density

Wolfgang Muschik, Corresponding author (muschik@physik.tu-berlin.de), Jürgen Siebert, Heiko Herrmann and Gunnar Rückner Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, D-10623 Berlin, Germany

Communicated by K.-H. Hoffmann, Chemnitz, Germany

Abstract

Heat conduction close-to-Fourier means that we look for a minimal extension of heat conduction theory using the usual Fourier expression of the heat flux density and modifying that of the internal energy as minimally as possible by choosing the minimal state space. Applying Liu's procedure results in the class of materials and a differential equation both belonging to the close-to-Fourier case of heat conduction.