Abstract:
Asymptotic behaviour in the unit cell parameter of the dynamical equations for
atomic displacements in a crystal lattice with given external long-wave deformation
is investigated. The equations obtained in the long-wave limit reduce to the equations
of the elasticity theory with variable coefficients. The explicit form of asymptotic solution
is written out and two cases of the external deformation, homogeneous and plane
running wave, are considered in detail.
Citation:
V. M. Chetverikov, “Asymptotic behavior of the thermal vibrations of a deformed crystal lattice”, TMF, 23:3 (1975), 383–394; Theoret. and Math. Phys., 23:3 (1975), 587–596
\Bibitem{Che75}
\by V.~M.~Chetverikov
\paper Asymptotic behavior of the thermal vibrations of a deformed crystal lattice
\jour TMF
\yr 1975
\vol 23
\issue 3
\pages 383--394
\mathnet{http://mi.mathnet.ru/tmf3913}
\transl
\jour Theoret. and Math. Phys.
\yr 1975
\vol 23
\issue 3
\pages 587--596
\crossref{https://doi.org/10.1007/BF01041679}
Linking options:
https://www.mathnet.ru/eng/tmf3913
https://www.mathnet.ru/eng/tmf/v23/i3/p383
This publication is cited in the following 1 articles:
S. E. Pitovranov, V. M. Chetverikov, “On a class of boundary-value problems for stochastic differential equations”, Theoret. and Math. Phys., 43:2 (1980), 431–445
Citation in format AMSBIB
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