核物理和脉冲星天体物理的固体球模型中准静态剪切振荡的球模和扭模
Spheroidal and torsional modes of quasistatic shear oscillations in the solid globe models of nuclear physics and pulsar astrophysics
摘要：
在过去的30年里，人们逐渐认识到，核物质连续介质力学的弹性动力学方法可以很好地解释构成核物质内部的简并费米物质的宏观运动，这是目前已知的所有理论的基础。本文着重于一个理论问题的发展，这是有关的准静态，力自由，非压缩振荡在文献中较少研究的振荡制度中的驻剪切波的粘弹性固体球的振荡行为。我们表明，在这种情况下，计算频率和寿命的非径向剪切振动的粘性阻尼的球形和扭转模式的问题，可以明确地解决工作从能量平衡方程，并利用瑞利变分法。核物理和脉冲星天体物理的固体球模型处理的振荡的粘弹性费米固体的体积密度，剪切模量和剪切粘度的均匀和非均匀的配置文件，证明了这种方法的效率。
英文摘要：
The past three decades of investigation on nuclear physics and pulsar astrophysics have seen gradual recognition that elastodynamic approach to the continuum mechanics of nuclear matter provides proper account of macroscopic motions of degenerate Fermi-matter constituting interior of the nuclear material objects, the densest of all known today. This paper focuses on one theoretical issue of this development which is concerned with oscillatory behavior of a viscoelastic solid globe in the regime of quasistatic, force-free, non-compressional oscillations less investigated in the literature compared to oscillations in the regime of standing shear waves. We show that in this case the problem of computing frequency and lifetime of spheroidal and torsional modes of non-radial shear vibrations damped by viscosity can be unambiguously resolved by working from the energy balance equation and taking advantage of the Rayleigh's variational method. The efficiency of this method is demonstrated by solid globe models of nuclear physics and pulsar astrophysics dealing with oscillations of a spherical mass of a viscoelastic Fermi-solid with homogeneous and non-homogeneous profiles of the bulk density, the shear modulus, and the shear viscosity.
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