High-density phenomena in hydrogen plasma

Филинов, В. С.; Bönitz, M.; Фортов, В. Е.

doi:10.1134/1.1324020

Cited by 57 publications

(77 citation statements)

References 4 publications

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“…But ion crystallization is expected to be possible also for much smaller mass ratios: proton crystallization (M = 1836) in dense hydrogen has been found in our previous simulations 35 , see also…”

Section: Simulation Resultssupporting

confidence: 62%

“…34 but in general were not sufficiently precise and efficient for practical purposes. In recent years an improved path integral representation of the N-particle density operator has been developed 35,36,37 that allows for direct fermionic path integral Monte Carlo (DPIMC) simulations of dense plasmas in a large range of temperatures and densities, see 42 for an introduction.…”

Section: Introductionmentioning

confidence: 99%

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Correlation effects in partially ionized mass asymmetric electron-hole plasmas

et al. 2007

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Section: Simulation Resultssupporting

confidence: 62%

Section: Introductionmentioning

confidence: 99%

Correlation effects in partially ionized mass asymmetric electron-hole plasmas

et al. 2007

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“…Our procedure has been extensively tested. In particular, we found from comparison with the known analytical expressions for pressure and energy of an ideal Fermi gas that the Fermi statistics is very well reproduced [26]. Further, we performed extensive tests for few-electron systems in a harmonic trap where, again, the analytically known limiting behavior (e.g.…”

Section: Comparison Of Direct and Restricted Pimc Simulationsmentioning

confidence: 84%

“…. 20 are adequate [24,26]. We will now compare our results with some available results obtained by the Monte Carlo technique developed by the Urbana group [19,32].…”

Section: Comparison Of Direct and Restricted Pimc Simulationsmentioning

confidence: 87%

Thermodynamics of hot dense H-plasmas: path integral Monte Carlo simulations and analytical approximations

Филинов

Bönitz

Ébeling

et al. 2001

Plasma Phys. Control. Fusion

126

149

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This work is devoted to the thermodynamics of high-temperature dense hydrogen plasmas in the pressure region between 10 −1 and 10 2 Mbar. In particular we present for this region results of extensive calculations based on a recently developed path integral Monte Carlo scheme (direct PIMC). This method allows for a correct treatment of the thermodynamic properties of hot dense Coulomb systems. Calculations were performed in a broad region of the nonideality parameter Γ 3 and degeneracy parameter n e Λ 3 10. We give a comparison with a few available results from other path integral calculations (restricted PIMC) and with analytical calculations based on Padé approximations for strongly ionized plasmas. Good agreement between the results obtained from the three independent methods is found.

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“…While restricted PIMC (RPIMC) results for dense multi-component quantum plasmas, e.g. [21,22] as well as direct fermionic PIMC (DPIMC) results [23][24][25][26] have been available already for 15 years, only recently finite temperature RPIMC results for the UEG (or jellium) have been obtained [27]. It is well known that fermionic PIMC simulation in continuous space suffer from the fermion sign problem (FSP) which is known to be NP hard [28].…”

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Ab InitioThermodynamic Results for the Degenerate Electron Gas at Finite Temperature

et al. 2015

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The uniform electron gas (UEG) at finite temperature is of key relevance for many applications in dense plasmas, warm dense matter, laser excited solids and much more. Accurate thermodynamic data for the UEG are an essential ingredient for many-body theories, in particular, density functional theory. Recently, first-principle restricted path integral Monte Carlo results became available which, however, due to the fermion sign problem, had to be restricted to moderate degeneracy, i.e. low to moderate densities with rs =r/aB 1. Here we present novel first-principle configuration PIMC results for electrons for rs ≤ 1. We also present quantum statistical data within the e 4 -approximation that are in good agreement with the simulations at small to moderate rs. [11,12]. Besides, the electron component is of crucial importance for understanding the properties of atoms, molecules and existing and novel materials. The most successful approach has been density functional theory (DFT)-combined with an approximation for the exchange-correlation potential. Its success is based on the availability of accurate zero temperature data for the UEG which is obtained from analytically known limiting cases combined with first-principle quantum Monte Carlo data [13].In recent years more and more applications have emerged where the electrons are highly excited, e.g. by compression of the material or by electromagnetic radiation (see above), which require to go beyond zero temperature DFT. This has led to an urgent need for accurate thermodynamic data of the UEG at finite temperature. One known limiting case is the highly degenerate ideal Fermi gas (IFG), and perturbation theory results around the IFG, starting with the Hartree-Fock and first order correlation corrections (Montroll-Ward) [14,15] [27]. It is well known that fermionic PIMC simulation in continuous space suffer from the fermion sign problem (FSP) which is known to be NP hard [28]. This means, with increasing quantum degeneracy, i.e. increasing parameter χ = nλ 3 DB , which is the product of density and thermal DeBroglie wave length, λ, the simulations suffer an exponential loss of accuracy. RPIMC formally avoids the FSP by an additional assumption on the nodes of the density matrix, however, it also cannot access high densities [29], r s < 1 [r s =r/a B , wherer is the mean interparticle distance, n −1 = 4πr 3 /3 and a B the Bohr radius]. Also, the quality of the simulations around r s = 1, at low temperatures Θ = k B T /E F ≤ 0.125 [E F is the Fermi energy] is unknown. However, this leaves out the high-density range that is of high importance, e.g. for deuterium-tritium implosions at NIF where mass densities of 400 gcm −3 (up to 1596 gcm −3 ) have recently been reported [9] (are expected along the implosion path [8]), corresponding to r s ≈ 0.24 (r s = 0.15), see Fig. 1.The authors of Ref.[27] also performed DPIMC simulations which confirmed that, for Θ < 0.5 and r s 4, these simulations are practically not possible, see Fig. 1. We also mention independent recent DPIMC ...

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High-density phenomena in hydrogen plasma

Cited by 57 publications

References 4 publications

Correlation effects in partially ionized mass asymmetric electron-hole plasmas

Correlation effects in partially ionized mass asymmetric electron-hole plasmas

Thermodynamics of hot dense H-plasmas: path integral Monte Carlo simulations and analytical approximations

Ab InitioThermodynamic Results for the Degenerate Electron Gas at Finite Temperature

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