Thermodynamic Functions of Magnetized Coulomb Crystals

Abstract

Free energy, internal energy, and specific heat for each of the three phonon spectrum branches of a magnetized Coulomb crystal with body-centered cubic lattice are calculated by numerical integration over the Brillouin zone in the range of magnetic fields $B$ and temperatures $T$, such that $0\le {\omega }_{\mathrm{B}}/{\omega }_{\mathrm{p}}\le 10^3$ and $10^{-4}\le T/T_{\mathrm{p}}\le 10^4$. In this case, ${\omega }_{\mathrm{B}}$ is the ion cyclotron frequency, ${\omega }_{\mathrm{p}}$ and $T_{\mathrm{p}}$ are the ion plasma frequency and plasma temperature, respectively. The results of numerical calculations are approximated by simple analytical formulas. For illustration, these formulas are used to analyze the behavior of the heat capacity in the crust of a neutron star with strong magnetic field. Thermodynamic functions of magnetized neutron star crust are needed for modeling various observational phenomena in magnetars and high magnetic field pulsars.

11 pages, 9 figures; accepted to MNRAS

References in corpus (5)

• Crustal Entrainment and Pulsar Glitches
• Magnetars vs. high magnetic field pulsars: a theoretical interpretation of the apparent dichotomy
• Low-energy collective excitations in the neutron star inner crust
• Equation of state for magnetized Coulomb plasmas
• Chandra Observations of the High-Magnetic-Field Radio Pulsar J1718-3718

Cited by in corpus (3)

• Anisotropic crystal structure of magnetized neutron star crust
• Neutrino-pair bremsstrahlung in a neutron star crust
• Properties of magnetized Coulomb crystals of ions with polarizable electron background