Ya B Zeldovich and equation of state problems for matter under extreme conditions

Фортов, В. Е.; Ломоносов, И. В.

doi:10.3367/ufne.0184.201403b.0231

Cited by 67 publications

(48 citation statements)

References 92 publications

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“…Besides the thermodynamical values the electrical conductivity has been measured by this technique. We should note that shock-wave data [3][4][5] are presented at relatively high densities, more than the critical one (the critical point density estimates for Iron are ρ c ∼ 2 g/cm 3 [12]). The achieved temperature in the shock-wave experiments is estimated as T > 30 kK.…”

Section: Introductionmentioning

confidence: 99%

“…and the electronic transport coefficients (electrical conductivity, thermal conductivity and thermal power). Their studies last during more than a century in the theories and experiments over all phase diagram [1][2][3]. The high temperature region is, possibly, the most problematic one for the experimental investigations.…”

Section: Introductionmentioning

confidence: 99%

“…The high temperature states can be achieved by various experimental techniques [3]. In particular the shock wave compression was applied to obtain the thermodynamical values under study along Hugoniot adiabat for Cu, Ni and Fe [3][4][5]. Another one experimental approach is based on the explosions of the metallic conductors (foils or wires) due to the applied high currents [6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

“…So until recently we have a little experimental data (in comparison with the theoretical researches) at the temperatures T ≥ 5-10 kK, where the plasma exits. The high temperature states can be achieved by various experimental techniques [3]. In particular the shock wave compression was applied to obtain the thermodynamical values under study along Hugoniot adiabat for Cu, Ni and Fe [3][4][5].…”

Section: Introductionmentioning

confidence: 99%

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The Thermophysical Properties of Iron Plasma

Apfelbaum

2016

Contrib. Plasma Phys.

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The pressure, internal energy, conductivity, thermal conductivity and thermal power of Iron plasma have been calculated at temperatures 10 -100 kK and densities less than 2 g/cm 3 . The plasma composition has been obtained by means of corresponding system of coupled mass action laws. We have considered the atom ionization up to +6. The transport coefficients have been obtained within the relaxation time approximation. The comparison of our results with available measurement and calculation data has shown very good agreement for the pressure and less good agreement for the conductivity.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The Thermophysical Properties of Iron Plasma

Apfelbaum

2016

Contrib. Plasma Phys.

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“…Thermodynamic properties of matter at high pressure are of importance in many problems of high energy density physics, in particular, in astrophysics [1], in wide-range equations of state [2,3], in the problems of interaction of intense energy fluxes with matter [4-6], in perspective power generation facilities [7] and in some others. The finite-temperature Thomas-Fermi (TF) model [8] based upon semiclassical approximation is widely used to describe thermodynamic properties of matter, but there are many phenomena beyond this approach.…”

Section: Introductionmentioning

confidence: 99%

Influence of shell effects on thermodynamic properties of matter at high pressures

Levashov

Minakov

2018

J. Phys.: Conf. Ser.

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Abstract. We analyze the influence of shell effects on thermodynamic properties of matter at high pressures. Spherically symmetric average atom models show significant contribution of electronic transitions to cold pressure which is not confirmed by more accurate density functional theory models. In particular, the s-d transition in aluminum and potassium does not reveal itself on the shock Hugoniots. Oscillations on shock Hugoniots at very high pressures predicted earlier by many authors should be confirmed by precise first-principle calculations. IntroductionThermodynamic properties of matter at high pressure are of importance in many problems of high energy density physics, in particular, in astrophysics [1], in wide-range equations of state [2,3], in the problems of interaction of intense energy fluxes with matter [4-6], in perspective power generation facilities [7] and in some others. The finite-temperature Thomas-Fermi (TF) model [8] based upon semiclassical approximation is widely used to describe thermodynamic properties of matter, but there are many phenomena beyond this approach. In particular, shell effects reflect non-regularities of physical parameters because of the discrete energy spectrum. For example, in low-density plasma step-wise dependencies of thermodynamic functions on isochors or isobars are quite typical [9]. The other well-known effect is connected with the non-regular behavior of density of elements vs. atomic mass [10,11]. To describe shell effects one should take into account discrete energy levels. Analytically shell corrections to the TF model have been studied in [12,13] using the Poisson formula in the transition from summation to integration (see also the review [14]). Average atom models [15][16][17][18][19] are based on a radial solution of the single-particle Schrödinger (Dirac) equation so that the discrete spectrum and shell effects are taken into account implicitly. During the last 30 years it became possible to obtain approximate three-dimensional (3D) solutions of a quantum many-particle problem using density functional theory (DFT) [20,21]. In this case one gets a 3D band structure of a system of particles that provides for the appearance of shell effects through non-regularities of the electronic density and some thermodynamic functions. There were several attempts to register shell effects at high pressures and temperatures experimentally [22][23][24] using underground nuclear explosions. It is claimed [24] that the influence of the discrete energy spectrum is

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Equation of State of Nickel in WDM Region

Ломоносов

Gryaznov

2016

Contrib. Plasma Phys.

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Results of theoretical calculations and experimental measurements of the equation of state (EOS) in the region of warm dense matter (WDM) are discussed and applied to nickel. The thermodynamic properties of nickel and its phase diagram are calculated with the use of multi‐phase EOS model. Theoretical calculations of thermodynamic properties of the solid, liquid, and plasma phases, and of the critical point, are compared with results of experiments. The analysis deals with thermodynamic properties of solid nickel at T = 0 and 298 K from different band–structure theories, static compression experiments in diamond anvil cells, and the information obtained in shock‐wave experiments. Thermodynamic data in the liquid and plasma states, resulting from traditional thermophysical measurements, ”exploding wire” experiments, and evaluations of the critical point are presented. Numerous shock‐wave experiments for nickel have been done to measure shock adiabats of crystal and porous samples and release isentropes. These data are analyzed in a self‐consistent manner together with all other available data at high pressure. (© 2016 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Ya B Zeldovich and equation of state problems for matter under extreme conditions

Cited by 67 publications

References 92 publications

The Thermophysical Properties of Iron Plasma

The Thermophysical Properties of Iron Plasma

Influence of shell effects on thermodynamic properties of matter at high pressures

Equation of State of Nickel in WDM Region

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