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KIAM Preprint № 83, Moscow, 2019
Authors: Volkov Y. A., Markov M. B.
Kinetic equations for phonon gas
The Vlasov equation is constructed for a collisionless phonon gas in an anisotropic cubic crystal. An equation of Boltzmann type is proposed in the approximation of the collisional relaxation of phonons to the equilibrium distribution. It is shown that in the thermodynamic limit the kinetic model transforms in the thermoelasticity equations. The relationship between the kinetic model of a phonon gas and the Katteneo equation is considered.
crystal, phonon, elastic deformations, Vlasov equation, Boltzmann equation
Publication language: russian,  pages: 15
Research direction:
Mathematical modelling in actual problems of science and technics
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