  An adiabatic transition between two equilibrium states corresponding to
different stiffnesses in an infinite chain of particles is studied. Initially,
the chain particles have random displacements and random velocities
corresponding to a uniform initial temperature. An instant change of parameters
of chain initiates a transient process. Analytical expressions for the chain
temperature as a function of time are obtained from the statistical analysis of
the dynamics equations. It is shown that the transition process is oscillatory
and it converges non-monotonically to a new equilibrium state. Such behavior is
usually unexpected for thermal processes. The analytical results are
supplemented by numerical simulations.
