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A Systematic Application of Gyarmati's Wave Theory of Thermodynamics to Thermal Waves in Solids
Author(s) -
Fekete D.
Publication year - 1981
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221050118
Subject(s) - extended irreversible thermodynamics , character (mathematics) , thermodynamics , thermal conduction , wave equation , second law of thermodynamics , thermodynamic equations , physics , relativistic heat conduction , non equilibrium thermodynamics , mathematics , heat transfer , mathematical analysis , geometry , heat flux
An analysis is made of the approximate character of Fourier's heat conduction equation with respect to the theory of irreversible thermodynamics and with the various generalizations of the linear theory. The different explicit forms of the thermal wave equations in solids are deduced on the basis of the wave theory of thermodynamics developed by Gyarmati and the generalizations of the linear wave equations to quasilinear equations are treated. Finally, the derived equations are compared with the equations of the phonon dynamical theory and an analysis of the experimental situation is given.