  Infinite harmonic chains of point particles with finite range translation
invariant interaction have considered. It is assumed that the only one particle
influenced by the white noise. We studied microscopic and macroscopic behavior
of the system's energies (potential, kinetic, total) when time goes to
infinity. We proved that under quite general condition on interaction potential
the energies grow linearly with time on macroscopic scale, and grow as $\ln(t)$
on microscopic scale. Moreover it is turned out that the system exhibit some
equipartition properties in this non equilibrium settings.
