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Article overview
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Self-consistent description of interacting phonons in a crystal lattice | | Yuri Poluektov
; Volodymyr Savchenko
; | | Date: |
22 Nov 2015 | | Abstract: | Self-consistent approach for interacting phonons description in lattice,
which generalized Debye model, is proposed. Notion of "self-consistent" phonons
is introduced, speed of which depends on temperature and is determined from
non-linear equation. Debye energy is also a function of temperature in this
approach. Thermodynamics of "self-consistent" phonon gas is constructed. It is
shown, that at low temperatures there is a correction proportional to the
seventh power of temperature to the cubic law of specific heat dependence on
temperature. This may be one of the reasons why cubic law for specific heat is
observed only at rather low temperatures. At high temperatures the theory
predicts linear deviation from Dulong-Petit law, which is observed
experimentally. | | Source: | arXiv, 1511.7011 | | Services: | Forum | Review | PDF | Favorites | |
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