  We present a study of the equilibration process of nonequilibrium systems by
means of molecular dynamics simulation technique. The nonequilibrium conditions
are achieved in systems by defining velocity components of the constituent
atoms randomly. The calculated Shannon en- tropy from the probability
distribution of the kinetic energy among the atoms at different instants during
the process of equilibration shows oscillation as the system relaxes towards
equilibrium. Fourier transformations of these oscillating Shannon entropies
reveal the existance of Debye frequency of the concerned system. From these
studies it was concluded that the signature of the equilibration process of
dynamical systems is the time invariance of Shannon entropy.
