Hashin-Shtrikman variational bounds show that the effective shear modulus of a polycrystalline neutron star crust is lower than the commonly assumed Voigt value, with narrower upper and lower limits.
High-frequency elastic moduli of two-dimensional Yukawa fluids and solids
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abstract
An approach to calculate high-frequency bulk and shear modului of two-dimensional (2D) weakly screened Yukawa fluids and solids is presented. Elastic moduli are directly related to sound velocities and other important characteristics of the system. In this article we discuss these relations and present exemplary calculation of the longitudinal, transverse, and instantaneous sound velocities and derive a differential equation for the Einstein frequency. Simple analytical results presented demonstrate good accuracy when compared with numerical calculations. The obtained results can be particularly useful in the context of 2D colloidal and complex (dusty) plasma monolayers.
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Constraining shear modulus of polycrystalline neutron star crust: Hashin-Shtrikman variational approach
Hashin-Shtrikman variational bounds show that the effective shear modulus of a polycrystalline neutron star crust is lower than the commonly assumed Voigt value, with narrower upper and lower limits.