Using a molecular-dynamics (MD) numerical simulation, we test the vali
dity of the generalized Fourier law predicted by Cattaneo and Vernotte
(CN) and theoretically established in the extended irreversible therm
odynamics. The numerical experiments are achieved at constant and high
density in a Lennard-Jones (6-12) solid argon. The temperature domain
is restricted to the so-called kinetic region where the thermal condu
ctivity lambda-T-1. it was found that the heat flux relaxation time ta
u(V) and the phonon mean relaxation time are numerically equal with a
good accuracy, in agreement with the consequence of the phonon transfe
r equation at macroscopic equilibrium; For nonequilibrium regimes, we
study the thermal response of the lattice to a temperature disturbance
of low or high magnitude, Stress effects were detected and excluded f
rom the kinetic temperature measurement. Finally, a thermal energy ana
lysis shows that the time transition to the Fourier regime is well pre
dicted by the MD value of tau(V), but a large disagreement is found be
tween the MD data and the hyperbolic model solution before that time.
As a conclusion, the CV law is confirmed when considering heat Aux flu
ctuations at equilibrium, but nonequilibrium situations with macroscop
ic temperature gradients are badly represented by the hyperbolic model
.