Equation of state of fully ionized electron-ion plasmas. II. Extension to relativistic densities and to the solid phase
arXiv:astro-ph/0009261 · doi:10.1103/PhysRevE.62.8554
Abstract
The analytic equation of state of nonideal Coulomb plasmas consisting of pointlike ions immersed in a polarizable electron background (physics/9807042) is improved, and its applicability range is considerably extended. First, the fit of the electron screening contribution in the free energy of the Coulomb liquid is refined at high densities where the electrons are relativistic. Second, we calculate the screening contribution for the Coulomb solid (bcc and fcc) and derive an analytic fitting expression. Third, we propose a simple approximation to the internal and free energy of the liquid one-component plasma of ions, accurate within the numerical errors of the most recent Monte Carlo simulations. We obtain an updated value of the coupling parameter at the solid-liquid phase transition for the one-component plasma: Gamma_m = 175.0 (+/- 0.4).
11 pages, 8 figures, 3 tables; RevTeX. A misprint in Eq.(16) is corrected
References in corpus (1)
Cited by in corpus (128)
- Equations of state for supernovae and compact stars
- Modules for Experiments in Stellar Astrophysics (MESA): Time-Dependent Convection, Energy Conservation, Automatic Differentiation, and Infrastructure
- Matter in Strong Magnetic Fields
- Updated Electron-Conduction Opacities: The Impact on Low-Mass Stellar Models
- Shock Compression of Deuterium and the Interiors of Jupiter and Saturn
- Neutron stars - cooling and transport
- Thermodynamic functions of dense plasmas: analytic approximations for astrophysical applications
- Mapping crustal heating with the cooling lightcurves of quasi-persistent transients
- Dense astrophysical plasmas
- Magnetic Field Evolution in Neutron Star Crusts due to the Hall Effect and Ohmic Decay
- A new equation of state for dense hydrogen-helium mixtures
- Coulomb tunneling for fusion reactions in dense matter: Path integral Monte Carlo versus mean field
- Long Type I X-ray Bursts and Neutron Star Interior Physics
- White Dwarf Donors in Ultracompact Binaries: The Stellar Structure of Finite Entropy Objects
- An analytic model of the Gruneisen parameter at all densities
- Theoretical Modeling of the Thermal State of Accreting White Dwarfs Undergoing Classical Novae
- Nuclear fusion in dense matter: Reaction rate and carbon burning
- Thermal structure and cooling of superfluid neutron stars with accreted magnetized envelopes
- Breaking stress of neutron star crust
- Current challenges in the physics of white dwarf stars
- Do electron-capture supernovae make neutron stars? First multidimensional hydrodynamic simulations of the oxygen deflagration
- Variability in the Thermal Emission from Accreting Neutron Star Transients
- Skye: A Differentiable Equation of State
- The physics of neutron stars
- Seismology of adolescent neutron stars: Accounting for thermal effects and crust elasticity
- An analytic model of the shear modulus at all densities and temperatures
- First-Principles Equation of State Database for Warm Dense Matter Computation
- Atmospheres and radiating surfaces of neutron stars
- Crystallization of Carbon Oxygen Mixtures in White Dwarf Stars
- Possible Resonances in the 12C + 12C Fusion Rate and Superburst Ignition
- Phases of dense matter in compact stars
- Thermal Runaway During the Evolution of ONeMg Cores towards Accretion-Induced Collapse
- Thermal Structure and Radius Evolution of Irradiated Gas Giant Planets
- Nuclear Physics of the Outer Layers of Accreting Neutron Stars
- Radiation from condensed surface of magnetic neutron stars
- Gravitational Settling of ^{22}Ne in Liquid White Dwarf Interiors--Cooling and Seismological Effects
- Reaction rates and transport in neutron stars
- The Physics of Crystallization from Globular Cluster White Dwarf Stars in NGC 6397
- Crystallization of classical multi-component plasmas
- Phase separation in the crust of accreting neutron stars
- Calibration of White Dwarf cooling sequences: theoretical uncertainty
- Equation of state for magnetized Coulomb plasmas
- The Thermal State of the Accreting White Dwarf in AM Canum Venaticorum Binaries
- Evolution of Young Neutron Star Envelopes
- Arbitrarily Degenerate Helium White Dwarfs as Donors in AM CVn Binaries
- Equation of state and opacities for hydrogen atmospheres of neutron stars with strong magnetic fields
- Diffusion of Neon in White Dwarf Stars
- Diffusive Nuclear Burning of Helium on Neutron Stars
- Equation of state of classical Coulomb plasma mixtures
- A Quake Quenching the Vela Pulsar
- Toward Precision Cosmochronology: A New C/O Phase Diagram for White Dwarfs
- The decompression of the outer neutron star crust and r-process nucleosynthesis
- Free-energy model for fluid helium at high density
- Heat blanketing envelopes of neutron stars
- Heat blanketing envelopes and thermal radiation of strongly magnetized neutron stars
- Addendum to "Equation of state of classical Coulomb plasma mixtures"
- Urca cooling pairs in the neutron star ocean and their effect on superbursts
- Crystallization of the outer crust of a non-accreting neutron star
- Neon Cluster Formation and Phase Separation During White Dwarf Cooling
- Thermonuclear fusion in dense stars: Electron screening, conductive cooling, and magnetic field effects
- Equation of state for partially ionized carbon at high temperatures
- The Second Born Corrections to the Electrical and Thermal Conductivities of Dense Matter in the Liquid Metal Phase
- The relativistic Feynman-Metropolis-Teller treatment at finite temperatures
- Compositionally-driven convection in the oceans of accreting neutron stars
- Diffusion in Coulomb Crystals
- Direct Evaluation of the Phase Diagrams of Dense Multicomponent Plasmas by Integration of the Clapeyron Equations
- Heat transport and convective velocities in compositionally-driven convection in neutron star and white dwarf interiors
- An explanation for the gap in the Gaia HRD for M dwarfs
- Hydrogen Burning on Magnetar Surfaces
- Nuclear fusion reaction rates for strongly coupled ionic mixtures
- Magnetic field breakout from white dwarf crystallization dynamos
- Electron exchange and polarization effects on electron captures and neutron emissions by nuclei in white dwarfs and neutron stars
- Strangelet dwarfs
- Experimental constraints on shallow heating in accreting neutron-star crusts
- Polycrystalline Crusts in Accreting Neutron Stars
- Residual Carbon in Oxygen-Neon White Dwarfs and its Implications for Accretion-Induced Collapse
- A Short Intense Dynamo at the Onset of Crystallization in White Dwarfs
- Time-dependent, compositionally driven convection in the oceans of accreting neutron stars
- The Spin Evolution of Fast-Rotating, Magnetized Super-Chandrasekhar White Dwarfs in the Aftermath of White Dwarf Mergers
- An accurate equation of state for the one component plasma in the low coupling regime
- Helium Ignition on Accreting Neutron Stars with a New Triple-alpha Reaction Rate
- Thermal X-ray emission from massive, fast rotating, highly magnetized white dwarfs
- The imprint of carbon combustion on a superburst from the accreting neutron star 4U 1636-536
- thermodynamics of one-component plasma for astrophysics of white dwarfs and neutron stars
- Magnetic field evolution for crystallization-driven dynamos in C/O white dwarfs
- Strong plasma screening in thermonuclear reactions: Electron drop model
- Quantum ion thermodynamics in liquid interiors of white dwarfs
- Electrostatic energy of Coulomb crystals with polarized electron background
- Screening of fusion reactions from the principle of detailed balance and application to the reaction
- Magnetic fields in late-stage proto-neutron stars
- Plasma opacity calculations using the Starrett and Saumon average-atom model with ion correlations
- One--Component Plasma of a Million Particles via angular--averaged Ewald potential: A Monte Carlo study
- r-Java 2.0: the nuclear physics
- The proto-neutron star inner crust in the liquid phase
- Precise Diffusion Coefficients for White Dwarf Astrophysics
- Neutron star crust in Voigt approximation: general symmetry of the stress-strain tensor and an universal estimate for the effective shear modulus
- Direct MD simulation of liquid-solid phase equilibria for two-component plasmas
- Classical Nucleation Theory of the One-Component Plasma
- Time evolution of rotating and magnetized white dwarf stars
- Ionisation Calculations using Classical Molecular Dynamics
- Crystallization in single and multicomponent Neutron Star crusts
- Mass limits of the extremely fast-spinning white dwarf CTCV J2056-3014
- Phase diagrams of binary ionic mixtures and white dwarf cooling
- Crust-core transition of a neutron star: effect of the temperature under strong magnetic fields
- Energy of Quantum Coulomb Liquid
- Corrections to linear mixing in binary ionic mixtures and plasma screening at zero separation
- The structure of detonation waves in supernovae revisited
- Neutrino oscillations in a neutrino-dominated accretion disk around a Kerr BH
- Nuclear pasta structures at high temperatures
- Superburst oscillations: ocean and crustal modes excited by Carbon-triggered Type I X-ray bursts
- Flux Relaxation after two outbursts of the magnetar SGR 162741 and possible hard X-ray emission
- Plasma Polarization in Massive Astrophysical Objects
- Revisiting thermoelectric effects in the crust of neutron stars
- Plasma polarization in high gravity astrophysical objects
- Instabilities, turbulence, and mixing in the ocean of accreting neutron stars
- Constraining Accreted Neutron Star Crust Shallow Heating with the Inferred Depth of Carbon Ignition in X-ray Superbursts
- Microcanonical calculations of excess thermodynamic properties of dense binary systems
- Prospects for the Observation of Continuous Gravitational Waves from Deformed Fast-spinning White Dwarfs
- Three-component Phase Separation for Ultramassive White Dwarf Models
- Drawing the line between explosion and collapse in electron-capture supernovae -- I. Impact of conductive flame speeds and ignition conditions on the explosion mechanism
- Ocean g-modes on transient neutron stars
- Light clusters as a possible source of crustal impurities: a quasi-particle approach
- Constraining shear modulus of polycrystalline neutron star crust: Hashin-Shtrikman variational approach
- Ultra low-mass and small-radius white dwarfs made of heavy elements
- Impact of Coulomb Correction Factor on Rate of Change of Lepton Fraction during Presupernova Evolution
- Compact dwarfs made of light-quark nuggets
- A post-hypercritical accretion small-scale dynamo in newborn neutron stars
- Slow convection and fast rotation in crystallization-driven white dwarf dynamos