Generation function method in the dynamics of an adiabatically loaded anharmonic oscillator

Abstract

The communication is devoted to the problem of thermo-elastic effect in solids. This effect is connected with a small decreasing (or increasing) of temperature in a mechanically loaded solid. Recently it was shown, that this effect has cornpletely anharmonic nature. In our work the explanation of thermo-elastic effect was obtained in the consideration of the energy balance in the dynamics of an adiabatically loaded anharrnonic oscillator. In this communication a generating function method is proposed for the energy balance calculation. As a result we calculated mean values of kinetic and potential energy.