0372-400Х (Edition in Ukrainian)
2071-0186 (Edition in English)
2071-0194 (in electronic form)
Abbreviated key title: Ukr. J. Phys.
Oles Honchar Dnipropetrovsk National University
(72, Gagarin Ave., Dnipropetrovsk 49050, Ukraine; e-mail: firstname.lastname@example.org)
Sound Vibrations in Ionic Crystal Taking Electric Field Correlations into Account
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.