Transition to thermal equilibrium in a deformed crystal

Anton M. Krivtsov, Andrey S. Murachev

Published 2019-08-15Version 1

We study transient thermal process in infinite nonlinear crystal after initial deformation. Initially particles have random displacements and random velocities corresponding to a uniform initial temperature. After homogeneous deformation the crystal is in the nonequilibrium state. As a result of the transient process the crystal transfers to a new equilibrium state. Analytical expressions describing the crystal temperature at an arbitrary moment of time are obtained. These results are supported by numerical simulation of the crystal dynamics and they are in accordance with the virial theorem.