Equations of State of Elements Based on the Generalized Fermi-Thomas Theory

Feynman, Richard P.; Metropolis, N.; Teller, Edward

doi:10.1103/physrev.75.1561

Cited by 808 publications

(422 citation statements)

References 6 publications

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“…Note that at densities below half of the nuclear saturation density (0.08 fm −3 ), we adopt the EoS given in Refs. [36][37][38]. For the cases corresponding to a first-order quarkyonic transition (C = 0.2 and √ D = 180 MeV), due to the sudden change of densities at the coexistence point, the hybrid star is very compact with the radii lie within the 9-11 km range, which is in consistent with the observational radii of pulsars [39,40].…”

Section: Numerical Resultssupporting

confidence: 79%

Nuclear Matter, Quarkyonic Matter, and Phase Transitions in Hybrid Stars

Xia

Xue

Zhou

2018

Proceedings of the Workshop on Quarks and Compact Stars 2017 (QCS2017)

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We extend the relativistic mean field (RMF) model for hadronic matter to include quark degrees of freedom. In the quarkyonic phase, quarks are treated as quasi-free particles with density dependent masses, where both confinement and leading-order perturbative interactions are included. The effects of Pauli blocking and interactions between quarks and baryons are treated with phenomenenlogical approaches. Nuclear matter, quarkyonic matter and transitions between them are investigated with the extended RMF model. Two types of phase transitions are obtained, one is of first-order and the other of third-order. With the model parameters determined according to the observational masses of pulsars, it is found that the quarkyonic transition is likely to be third-order.

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Section: Numerical Resultssupporting

confidence: 79%

Nuclear Matter, Quarkyonic Matter, and Phase Transitions in Hybrid Stars

Xia

Xue

Zhou

2018

Proceedings of the Workshop on Quarks and Compact Stars 2017 (QCS2017)

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“…[3][4][5][6]]. These models represent a significant advance in complexity beyond the commonly used Thomas-Fermi and related approaches [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Equation of state, occupation probabilities and conductivities in the average atom Purgatorio code

Sterne

Hansen

Wilson

et al. 2007

High Energy Density Physics

131

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We report on recent developments with the Purgatorio code, a new implementation of Liberman's Inferno model. This fully relativistic average atom code uses phase shift tracking and an efficient refinement scheme to provide an accurate description of continuum states. The resulting equations of state accurately represent the atomic shell-related features which are absent in Thomas-Fermi-based approaches. We discuss various representations of the exchange potential and some of the ambiguities in the choice of the effective charge Z * in average atom models, both of which affect predictions of electrical conductivities and radiative properties.

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“…As an aside, we note that the same issues of use of ground-state approximate XC functionals in a T-dependent context can arise in average-atom models [30][31][32][33][34]. The second set of issues involves computational technique.…”

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confidence: 96%

“…[35] shows that a normconserving pseudopotential for boron with the standard cutoff radius (r c = 1.7 Bohr) is not transferable to the high material density regime. In that work, the authors built an "all-electron" pseudopotential with small r c = 0.5 Bohr and tested its transferability to very high material density by comparison with the Thomas-Fermi (TF) limit calculated using an average-atom model [30].…”

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confidence: 99%

Comparison of density functional approximations and the finite-temperature Hartree-Fock approximation in warm dense lithium

2012

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We compare the behavior of the finite-temperature Hartree-Fock model with that of thermal density functional theory using both ground-state and temperature-dependent approximate exchange functionals. The test system is bcc Li in the temperature-density regime of warm dense matter (WDM). In this exchange-only case, there are significant qualitative differences in results from the three approaches. Those differences may be important for Born-Oppenheimer molecular dynamics studies of WDM with ground-state approximate density functionals and thermal occupancies. Such calculations require reliable regularized potentials over a demanding range of temperatures and densities. By comparison of pseudopotential and all-electron results at T = 0 K for small Li clusters of local bcc symmetry and bond-lengths equivalent to high density bulk Li, we determine the density ranges for which standard projector augmented wave (PAW) and norm-conserving pseudopotentials are reliable. Then we construct and use all-electron PAW data sets with a small cutoff radius which are valid for lithium densities up to at least 80 g/cm 3 .

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Equations of State of Elements Based on the Generalized Fermi-Thomas Theory

Cited by 808 publications

References 6 publications

Nuclear Matter, Quarkyonic Matter, and Phase Transitions in Hybrid Stars

Nuclear Matter, Quarkyonic Matter, and Phase Transitions in Hybrid Stars

Equation of state, occupation probabilities and conductivities in the average atom Purgatorio code

Comparison of density functional approximations and the finite-temperature Hartree-Fock approximation in warm dense lithium

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