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Velocity of transverse sound oscillations in the metals
International Journal of Modern Physics B ( IF 1.7 ) Pub Date : 2021-10-22 , DOI: 10.1142/s0217979221503045
Anton Stupka 1 , Olena Kovalchuk 2
Affiliation  

The Bohm–Staver description of sound waves in metals in the jellium model is generalized by taking into account not only the self-consistent electric field but also the second correlation moment of internal electric field that provides shear elasticity. The system of linearized equations that contains the second correlation moment of the field as a new variable is built. The wave equation is worked out and the velocities of longitudinal and transverse sound are found. The estimation of the field correlation value through the sublimation heat and the electronic Fermi-gas energy is offered for the metals. The velocities of transverse sound are found, which matches well the velocity obtained from the shear modules.

中文翻译:

金属中横向声波振荡的速度

通过不仅考虑自洽电场而且考虑提供剪切弹性的内部电场的第二相关矩,推广了 jellium 模型中金属中声波的 Bohm-Staver 描述。建立了以场的二次相关矩为新变量的线性方程组。求解波动方程,求出纵向和横向声速。为金属提供了通过升华热和电子费米气体能量估计场相关值。找到了横向声速,这与从剪切模块获得的速度很好地匹配。
更新日期:2021-10-22
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