Thermodynamic functions of harmonic Coulomb crystals

Baiko, D. A.; Potekhin, A. Y.; Yakovlev, D. G.

doi:10.1103/physreve.64.057402

Cited by 77 publications

(90 citation statements)

References 21 publications

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“…The calculations of Baiko et al (2001b) show that the Dulong-Petit law applies at temperatures down to T ≃ T p , while the Debye value of Eq. (9) is attained when T 0.1 T p .…”

Section: Specific Heat Of Electron-ion Plasmasmentioning

confidence: 99%

Neutron Stars—Cooling and Transport

2015

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Observations of thermal radiation from neutron stars can potentially provide information about the states of supranuclear matter in the interiors of these stars with the aid of the theory of neutron-star thermal evolution. We review the basics of this theory for isolated neutron stars with strong magnetic fields, including most relevant thermodynamic and kinetic properties in the stellar core, crust, and blanketing envelopes.

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“…The calculations of Baiko et al (2001b) show that the Dulong-Petit law applies at temperatures down to T ≃ T p , while the Debye value of Eq. (9) is attained when T 0.1 T p .…”

Section: Specific Heat Of Electron-ion Plasmasmentioning

confidence: 99%

Neutron Stars—Cooling and Transport

2015

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“…Accordingly (see Fig. 7), (e q,ν · g) 2 = sin 2 (Θ)g 2 . Only this mode contributes to the integral I g,ν 3 .…”

Section: The High-temperature Limitmentioning

confidence: 99%

“…In the intermediate range of temperatures, the Coulomb logarithm should be calculated numerically in accordance with Eqs. (27) and (30) and by taking into account the exact spectrum and polarization of phonon modes (see, e.g., Baiko et al 2001;Baiko 2002). However, the Coulomb logarithm at intermediate temperatures can be estimated on the basis of a simple interpolation:…”

Section: The High-temperature Limitmentioning

confidence: 99%

Electrical conductivity of the neutron star crust at low temperatures

Chugunov

2012

Astron. Lett.

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Abstract-The electrical conductivity of the neutron star crust at low temperatures is calculated by taking into account the mixing of the electron wave functions due to the interaction with the crystal lattice of atomic nuclei. We show that the previously existed model of exponential reduction of the electron-ion scattering rate can lead to an overestimation of the electrical conductivity by several orders of magnitude. We propose a simple interpolation formula for use in applications that joins the previously known results of calculating the electrical conductivity at high temperatures with the low-temperature asymptotics found here.

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“…4. The value of H ≈ 2512 at α = β = 1 reproduces calculations of heat capacity for bcc crystal of identical ions [4]. The growth of H(α, β) at large and small β is explained by the fact that H/T …”

Section: Phonon Thermodynamicsmentioning

confidence: 50%

“…The methods of such integration have been developed elsewhere (Ref. [3], see also [4]). It is well known that at high temperatures,…”

Section: Phonon Thermodynamicsmentioning

confidence: 99%

Physical Features of Binary Coulomb Crystals: Madelung Energy, Collective Modes and Phonon Heat Capacity

Kozhberov

Baiko

2012

Contrib. Plasma Phys.

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Electrostatic energy, collective modes, and thermodynamic functions of a Coulomb crystal with equal number of ions of two different types and uniform charge-compensating electron background are studied using harmonic lattice model. Simple cubic and hexagonal lattices with two different ions in the elementary cell (we denote these lattices sc2 and h2, respectively) are considered. The static sc2 lattice is more tightly bound than the h2 one at any charge ratio of the constituent ions. The phonon spectra depend on the ion charge and mass ratio. An analysis shows that these binary Coulomb crystals are stable, if the charge ratio is not too different from 1 (about 3.6 for sc2 and 1.3 for h2 lattices) regardless of the mass ratio. Heat capacity of the sc2 lattice is obtained by numerical integration over the first Brillouin zone as a function of temperature and charge and mass ratios. Well known classic and quantum asymptotes of the heat capacity are reproduced, and the dependence of the coefficient in the Debye T 3 law on charge and mass ratios is presented.

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Thermodynamic functions of harmonic Coulomb crystals

Cited by 77 publications

References 21 publications

Neutron Stars—Cooling and Transport

Neutron Stars—Cooling and Transport

Electrical conductivity of the neutron star crust at low temperatures

Physical Features of Binary Coulomb Crystals: Madelung Energy, Collective Modes and Phonon Heat Capacity

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