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Anharmonic corrections to the electrostatic energy of a Coulomb crystal

Author

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  • Chugunov, A.I.
  • Baiko, D.A.

Abstract

Model calculations of the electrostatic energy of body-centered-cubic and face-centered-cubic Coulomb crystals are presented. The electrostatic energy is calculated using a pair distribution function of ions in the harmonic approximation. This distribution function is shown to be in a good agreement with the function derived by the Monte Carlo method in the high-temperature classical limit (T⪢ℏωp, ωp being the ion plasma frequency). It is also in a good agreement with the distribution function obtained by the path integral Monte Carlo method in the low-temperature quantum limit (T⪡ℏωp). First- and second-order anharmonic corrections to the electrostatic energy are analyzed in a wide temperature range, from the high-temperature classical regime to the low-temperature quantum regime. For typical conditions in the envelopes of neutron stars and the cores of white dwarfs the anharmonic corrections to the electrostatic energy do not exceed a few percent of the electrostatic energy of harmonic lattice.

Suggested Citation

  • Chugunov, A.I. & Baiko, D.A., 2005. "Anharmonic corrections to the electrostatic energy of a Coulomb crystal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 352(2), pages 397-408.
    • Handle: RePEc:eee:phsmap:v:352:y:2005:i:2:p:397-408
    DOI: 10.1016/j.physa.2005.01.005
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    Keywords

    Coulomb crystals; Harmonic lattice;

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