Non-stationary thermo-diffusion processes in finite one-dimensional crystal

A periodic one-dimensional harmonic crystal subjected to an instantaneous spatially uniform thermal perturbation is considered. Fast transitional and long evolutionary processes are observed. Time dependance of thermal and diffusion characteristics is analyzed. Influence of the crystal finite size on the transitional and evolutionary processes is considered. The principal difference in long time behavior for statistical averages for squares of velocities and squares of displacements is demonstrated.