514 - Calculation of influence on the dispersion law of the temperature variations of atoms
Vladimir S., Vladimir G., Yuri S.
Abstract
The connection of wave number and frequency of vibrations - dispersion law, solid state physics determines only through the potential of interaction of atoms. The temperature variations of atoms are not considered. With the propagation of the waves of deformation in the medium the pulse and energy are extended. Their transfer from one atom to the next occurs during the period of their oscillations about the position of equilibrium. The calculation only of potential interaction assumes instantaneous transfer. The transfer of pulse from one particle to the next during the final time interval is considered by the proposed model of elastic medium. Wave equation contains the mixed derived fields of displacements over the coordinates and the time. The asymptotic dependence of the velocity of propagation of plane wave on the vibration frequency is obtained on the basis of this equation.
Citation
Vladimir S.; Vladimir G.; Yuri S.: Calculation of influence on the dispersion law of the temperature variations of atoms, CD-ROM Proceedings of the Thirtheenth International Congress on Sound and Vibration (ICSV13), July 2-6, 2006, Vienna, Austria, Eds.: Eberhardsteiner, J.; Mang, H.A.; Waubke, H., Publisher: Vienna University of Technology, Austria, ISBN: 3-9501554-5-7
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