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

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

doi:10.1088/0741-3335/43/6/301

Cited by 127 publications

(152 citation statements)

References 50 publications

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“…As we have shown earlier 37 , for sufficiently high temperature, i.e. for large number n of time slices) each high-temperature factor can be expressed in terms of two-particle density…”

Section: Path Integral Monte Carlo Proceduresmentioning

confidence: 86%

“…40,41 which puts another lower bound on the number of time slices n. For a discussion of other effective potentials, we refer to Refs. 24,37,40,41 .…”

Section: Pair Approximation and Kelbg Potentialmentioning

confidence: 99%

“…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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“…As we have shown earlier 37 , for sufficiently high temperature, i.e. for large number n of time slices) each high-temperature factor can be expressed in terms of two-particle density…”

Section: Path Integral Monte Carlo Proceduresmentioning

confidence: 86%

“…40,41 which puts another lower bound on the number of time slices n. For a discussion of other effective potentials, we refer to Refs. 24,37,40,41 .…”

Section: Pair Approximation and Kelbg Potentialmentioning

confidence: 99%

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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“…We therefore have performed extensive direct fermionic path integral Monte Carlo (PIMC) simulations of electron-hole plasmas which are based on our previous results for dense hydrogen-helium plasmas [18], e-h plasmas [19] and electron Wigner crystallization [3]. While the so-called sign problem prohibits PIMC simulations of the ground state of a fermion system, here we restrict ourselves to temperatures at the upper boundary of the hole crystal phase, i.e.…”

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confidence: 99%

Crystallization in Two-Component Coulomb Systems

et al. 2005

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The analysis of Coulomb crystallization is extended from one-component to two-component plasmas. Critical parameters for the existence of Coulomb crystals are derived for both classical and quantum crystals. In the latter case, a critical mass ratio of the two charged components is found which is of the order of 80. Thus, holes in semiconductors with sufficiently flat valence bands are predicted to spontaneously order into a regular lattice. Such hole crystals are intimately related to ion Coulomb crystals in white dwarf and neutron stars as well as to ion crystals produced in the laboratory. A unified phase diagram of two-component Coulomb crystals is presented and is verified by first-principle computer simulations.PACS numbers: 52.27. -h, 52.25.-b Crystallization is one of the most fundamental manyparticle phenomena in charged particle systems. After the prediction of a highly correlated state of the electron gas -the electron Wigner crystal [1] -there has been an active search for this phenomenon in many fields. Crystallization of electrons was observed on the surface of helium droplets [2] and is predicted to occur in semiconductor quantum dots [3]. Moreover, crystals of ions have been observed in traps [4] and storage rings [5], and are expected to occur in layered systems [6]. The necessary condition for the existence of a crystal in these onecomponent plasmas (OCP) is that the mean Coulomb interaction energy, e 2 /r (r denotes the mean inter-particle distance), exceeds the mean kinetic energy (thermal energy 3 2 k B T or Fermi energy E F in classical or quantum plasmas, respectively) by a factor Γ larger than Γ cr which, in a classical OCP is given by 175 [2,7]. In a quantum OCP at zero temperature the coupling strength is measured by the Brueckner parameter, r s ≡r/a B (a B denotes the effective Bohr radius), with a critical value for crystallization of r The vast majority of Coulomb matter in the Universe, however, exists in the form of neutral plasmas, containing (at least) two oppositely charged components (twocomponent plasma, TCP). Coulomb crystallization in a TCP has been observed as well, e.g. in colloidal and dusty plasmas [9,10] and it is predicted to be possible in laser-cooled expanding plasmas [11]. The lattice of heavy particles is immersed into a structureless gas of the light component which does not affect the former. Besides these classical TCP crystals it is expected that in the interior of white dwarf stars and in the crust of neutron stars there exists an entirely different type of TCP crystals [12]: Crystals of highly charged ions (e.g. fully ionized carbon, oxygen, iron) which are embedded into an extremely dense degenerate This Letter aims to answer these questions. We show that, in fact, a common phase diagram of Coulomb crystals in a generic neutral TCP (consisting of electrons and point-like ions [14]) exists which is governed by five parameters -density and temperature (as in the OCP case) and, additionally, by the asymmetry of the heavy (h) and electron (e) components with...

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“…One of the approaches to obtain the virial estimator of energy is to introduce temperature dependent coordinates [15]…”

Section: B Choose Action As Accurate As Possiblementioning

confidence: 99%