Electrostatic energy and phonon properties of Yukawa crystals

Abstract

We study electrostatic and phonon properties of Yukawa crystals. It is shown that in the harmonic approximation these systems which is in use in the theory dusty plasma can be described analytically by the model from the theory of neutron stars and white dwarfs. Using this approximation we consider properties of body-centred cubic (bcc), face-centred cubic (fcc), hexagonal close-packed (hcp), and MgB${}_2$ lattices. MgB${}_2$ and hcp lattices have never been studied earlier in the context of Yukawa systems. It is shown that they never possess the smallest potential energy and the phase diagram of stable Yukawa crystals contains bcc and fcc lattices only. However, corrections to the charge density $\propto (\kappa a{)}^4$ can noticeably change the structural diagram of Yukawa systems. The developed analytical model also allows to describe low-temperature effects where numerical simulations are difficult.

8 pages, 6 figures

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• Cooling of the quasi-persistent neutron star X-ray transients KS 1731-260 and MXB 1659-29
• Classical and quantum Coulomb crystals
• The Physics of Crystallization from Globular Cluster White Dwarf Stars in NGC 6397
• Binary and ternary ionic compounds in the outer crust of a cold nonaccreting neutron star
• The structure of accreted neutron star crust
• Low-density crystals in charged colloids : Comparison with Yukawa theory
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Cited by in corpus (4)

• Electrostatic energy of Coulomb crystals with polarized electron background
• Elastic properties of Yukawa crystals
• Neutron star crust in Voigt approximation II: general formula for electron screening correction for effective shear modulus
• Constraining shear modulus of polycrystalline neutron star crust: Hashin-Shtrikman variational approach