Plasma phase transition in hydrogen

Ébeling, W.; Richert, W.

doi:10.1016/0375-9601(85)90521-3

Cited by 123 publications

(50 citation statements)

References 9 publications

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“…The occurrence of metallization induced by pressure was discussed by Wigner and Huntington, 1935 for atomic hydrogen at T=0K, by Landau and Zeldovich, 1943 for liquid mercury as a first order phase transition, and by Norman and Starostin, 1970 for a dense atomic plasma. In high pressure fluid hydrogen, molecular dissociation and ionization was discussed by Ebeling et al (Ebeling and Richert, 1985;Ebeling and W., 1985) and later by other authors (Beule et al, 1999;Edwards et al, 2010;Fortov et al, 2003a;Kitamura and Ichimaru, 1998;Marley and Hubbard, 1988;Redmer and Holst, 2010;Saumon and Chabrier, 1989, 1992 at several levels of sophistication in the framework of chemical models. These models exhibit a clear first-order liquid-liquid transition (LLT) that persists for temperatures well above 10,000 K. However, approaches with separate free energy functionals in different regions of phase space have great difficulty in having a continuous crossover from one behavior to another.…”

Section: Liquid-liquid Phase Transitionmentioning

confidence: 99%

The properties of hydrogen and helium under extreme conditions

McMahon¹,

Morales²,

Pierleoni³

et al. 2012

Rev. Mod. Phys.

478

415

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Hydrogen and helium are the most abundant elements in the universe and, in principle, are the simplest elements. Nonetheless, they display remarkable properties under pressure that have fascinated theoreticians and experimentalists for over a century. Recent advances in computational methods have made it possible to elucidate many of these properties. We review some of the computational methods that have been applied to dense hydrogen and helium in recent years, mainly those that perform a simulation directly from the physical picture of electrons and ions; primarily, those based on density functional theory and quantum Monte Carlo methods. We then discuss the predictions from such methods as applied to the phase diagram of hydrogen, including the solid and fluid phases, with particular focus on the crystal structures, the liquidliquid transition and comparison of the results with experimental shock-wave data. We then discuss predictions of ordered quantum states, including a possible low-temperature fluid and high-temperature superconductivity in the atomic state. We also briefly discuss pure helium, and then focus on hydrogen-helium mixtures, with particular focus on properties of relevance to planetary science.

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Section: Liquid-liquid Phase Transitionmentioning

confidence: 99%

The properties of hydrogen and helium under extreme conditions

McMahon¹,

Morales²,

Pierleoni³

et al. 2012

Rev. Mod. Phys.

478

415

View full text Add to dashboard Cite

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“…Going to bigger system sizes N P = 64 and using FP nodes also shows a shift towards lower densities. [1,2] with PIMC simulation (VDM nodes, τ −1 = 2 · 10 6 K) and several theoretical approaches: SESAME model by Kerley [3] (thin solid line), linear mixing model by Ross (dashed line) [4], DFT-MD by Lenosky et al [8] (dash-dotted line), Padé approximation in the chemical picture (PACH) by Ebeling et al [11] (dotted line), and the work by Saumon et al [10] (thin dash-dotted line).…”

Section: Shock Hugoniotmentioning

confidence: 99%

“…Further there are models that minimize an approximate free energy function constructed from known theoretical limits with respect to the chemical composition, which work very well in certain regimes. The most widely used include [10,11,4].…”

mentioning

confidence: 99%

Path Integral Monte Carlo Calculation of the Deuterium Hugoniot

2000

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Restricted path integral Monte Carlo simulations have been used to calculate the equilibrium properties of deuterium for two densities: 0.674 and 0.838 gcm −3 (rs = 2.00 and 1.86) in the temperature range of 10 000 K ≤ T ≤ 1 000 000 K. Using the calculated internal energies and pressures we estimate the shock hugoniot and compare with recent Laser shock wave experiments. We study finite size effects and the dependence on the time step of the path integral. Further, we compare the results obtained with a free particle nodal restriction with those from a self-consistent variational principle, which includes interactions and bound states.

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“…https://doi.org/10.1017/S0252921100026415 same critical point, at T c = 16500 K, P c = 0.228 Mbar and p c = 0.13 gem -3 . In the first model (Ebeling and Richert 1985a), atoms and molecules interact through hard-sphere potentials with fixed diameters, plus a Van-der-Waals correction. Molecules are approximated as two atoms in the hard-sphere free energy.…”

Section: Other Modelsmentioning

confidence: 99%

The Equation of State of Fluid Hydrogen at High Density

Chabrier

1994

International Astronomical Union Colloquium

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A b s t r a c tWe present a free energy model for fluid hydrogen at high-density and hightemperature. This model aims at describing pressure dissociation and ionization, which occur in partially ionized plasmas encountered in the interiors of giant planets and low-mass stars. The model describes an interacting mixture of H2,H,H + and e~ in chemical equilibrium. The concentrations of H 2 + and H~ ions are found to be negligible for equation of state purposes. Our model relies on the so-called chemical picture approach, based on the factorization of the partition function into translational, internal and configurational degrees of freedom. The present model is found to be unstable in the pressure-ionization regime and predicts the existence of a first-order plasma phase transition ( P P T ) which ends up at a critical point given by T c = 15300 K, P c = 0.614 Mbar, and p c = 0.35 g e m -3 . The transition occurs between a weakly ionized phase and a partially ionized (~ 50%) phase.Nous presentons un modele d'energie libre pour l'hydrogene fiuide a haute densite et haute temperature. Le but de ce modele est de decrire la dissociation et l'ionisation en pression, telles qu'elles se produisent dans les plasmas partiellement ionises rencontres a l'interieur des planetes geantes et des

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Plasma phase transition in hydrogen

Cited by 123 publications

References 9 publications

The properties of hydrogen and helium under extreme conditions

The properties of hydrogen and helium under extreme conditions

Path Integral Monte Carlo Calculation of the Deuterium Hugoniot

The Equation of State of Fluid Hydrogen at High Density

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