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Current issue   Ukr. J. Phys. 2014, Vol. 58, N 12, p.1156-1158
doi:10.15407/ujpe58.12.1156    Paper

Stupka A.A.

Oles Honchar Dnipropetrovsk National University
(72, Gagarin Ave., Dnipropetrovsk 49050, Ukraine; e-mail: antonstupka@mail.ru)

Sound Vibrations in Ionic Crystal Taking Electric Field Correlations into Account

Section:Solid matter
Original Author's Text: Ukrainian

Abstract: Small vibrations in a solid insulator in the presence of a self-consistent electric field with the first strength moment at the equilibrium equal to zero and the second one different from zero have been considered. A new variable, the second moment of electric field strength, was introduced into the Euler equation, and a temporal equation for this variable was derived on the basis of Maxwell equations in the hydrodynamic approximation. A wave equation was obtained, and its solutions – two transverse and one longitudinal sound vibration branches – are found. The transverse sound velocity is calculated; the results obtained correspond to those calculated using the shear modulus to an accuracy of about 10%

Key words: sound vibrations, electric field correlation, Euler equation.