424 research outputs found
Neutron star crust in Voigt approximation II: general formula for electron screening correction for effective shear modulus
The main contribution to the effective shear modulus of neutron star crust
can be calculated within Coulomb solid model and can be approximated by simple
analytical expression for arbitrary (even multicomponent) composition. Here I
consider correction associated with electron screening within Thomas-Fermi
approximation. In particular, I demonstrate that for relativistic electrons
(density g\,cm) this correction can be estimated as , where summation is taken over ion species, is number
density of ions with charge , is Thomas-Fermi screening
wave number. Finally, is electron
sphere radius. Quasineutrality condition is
assumed. This result holds true for arbitrary (even multicomponent and
amorphous) matter and can be applied for neutron star crust and (dense) cores
of white dwarfs. For example, the screening correction reduces shear modulus by
\% for , which is typical for inner layers of neutron star
crust.Comment: 6 pages, Accepted in MNRA
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