S. Volz et al., ANALYSIS OF SHORT-TIME HEAT-CONDUCTION IN SOLIDS BY EXTENDED IRREVERSIBLE THERMODYNAMICS AND MOLECULAR-DYNAMICS, Revue generale de thermique, 36(11), 1997, pp. 826-835
Instantaneous heat propagation and thermodynamic local equilibrium can
not be assumed when solving space and time microscale problems. Theref
ore, we reconsider the thermodynamics basis of the Fourier law-in orde
r to obtain the new heat conduction models: the hyperbolic heat equati
on (EH) and the modified hyperbolic equation (EHM). We have performed
molecular dynamics (DM) experiments which are independent of any therm
odynamic model, to test the macroscopic approaches. We show that the s
olutions of the EH and the EHM do not agree with the numerical experim
ents and that the MD results are strongly dependent on the way from wh
ich the macroscopic conditions are simulated in the microscopic point
of view.