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KIAM Preprint № 114, Moscow, 2015
Authors: Volkov Y. A., Voronin F. N., Markov M. B.
The Vlasov approach in phonon dynamics
Abstract:
The Vlasov-like equations are obtained to describe the self-consistent dynamics of phonons. It is found that in the thermodynamical limit these equations on the viewpoint of hydrodynamics lead to the thermoelasticity equations.
Keywords:
self-consistent field, Vlasov equation, phonons, elastic deformation
Publication language: russian,  pages: 24
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Volkov Yuri Aleksandrovich,  orcid.org/0000-0002-6918-2397KIAM RAS
  • Voronin Fyodor Nikolaevich,  orcid.org/0000-0003-2649-0469KIAM RAS
  • Markov Mikhail Borisovich,  orcid.org/0000-0002-3428-9688KIAM RAS