Звуковi коливання в iонному кристалi при врахуваннi кореляцiй електричного поля

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 Eul...

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Bibliographische Detailangaben
Datum:2018
1. Verfasser: Stupka, A. A.
Format: Artikel
Sprache:English
Ukrainian
Veröffentlicht: Publishing house "Academperiodika" 2018
Schlagworte:
Online Zugang:https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018397
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Назва журналу:Ukrainian Journal of Physics

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Ukrainian Journal of Physics
Beschreibung
Zusammenfassung: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%.