The calculations of thermophysical properties of low-temperature carbon plasma

Apfelbaum, E. M.

doi:10.1063/1.5042840

Cited by 6 publications

(14 citation statements)

References 59 publications

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“…Usually, it is approximated by the second‐order term of the virial expansion. This approach is also well studied and can be used at relatively low and moderate densities , . The form of F N −Ch is

\begin{matrix} {VF}_{N - italicCh} & = 2 k_{B} {TN}_{a} \sum_{s = i, e} B_{sa} ((), T) N_{s}, \end{matrix}

\begin{matrix} B_{sa} & = - 2 π \int_{0}^{\infty} ((), italicexp ((), - U_{sa} ((), r) false/ ((), k_{B} T)) - 1) r^{2} italicdr \end{matrix}

…”

Section: The Modelmentioning

confidence: 99%

“…There are many techniques to calculate the electronic transport coefficients including the most advanced ones based on the Kubo–Greenwood expressions . For present study, we have used the simpler relaxation time approximation (or τ ‐approximation), as previously done for other substances . The advantages and shortcomings of this approach have been already discussed in many papers , .…”

Section: The Modelmentioning

confidence: 99%

“…Below, n s = N s /V (V is the volume) denotes the concentration of particles of type s. The dimers, as well as more complicated clusters, no longer exist at the temperatures studied here, just like in case of many other metals. [27] But atom-atom interaction can be still important [33] , so it has been included in the study. Further, the free energy of the mixture under study can be presented as the sum of the free energies of non-interacting particles (F id ) and the interaction part (F int ).…”

Section: Chemical Composition and Thermodynamicsmentioning

confidence: 99%

“…[36] Previously, we had already applied it to plasma of other metals. [30][31][32][33] It is reliable and applicable for all required densities. The next term F N−Ch is responsible for the interaction between the charged and neutral components.…”

Section: Chemical Composition and Thermodynamicsmentioning

confidence: 99%

“…This approach is also well studied and can be used at relatively low and moderate densities. [1,3,20,33] The form of F N−Ch is…”

Section: Chemical Composition and Thermodynamicsmentioning

confidence: 99%

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The thermophysical properties of low‐temperature Pb plasma

Apfelbaum

2019

Contributions to Plasma Physics

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The thermophysical properties of low‐temperature Pb plasma are calculated at temperatures 10–100 kK and densities below 0.2 of the solid‐state value. The thermodynamic values (pressure and internal energy) and transport coefficients (electrical conductivity, thermal conductivity, and thermal power) are considered. The plasma composition and thermodynamic parameters are obtained within the chemical approach, namely by means of the solution of the corresponding system of the coupled mass action law equations. Atom ionization up to +4 is taken into consideration. The electronic transport coefficients are calculated within the relaxation time approximation. The results obtained by means of the present model are compared with the available data of other models and experiments.

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\begin{matrix} {VF}_{N - italicCh} & = 2 k_{B} {TN}_{a} \sum_{s = i, e} B_{sa} ((), T) N_{s}, \end{matrix}

\begin{matrix} B_{sa} & = - 2 π \int_{0}^{\infty} ((), italicexp ((), - U_{sa} ((), r) false/ ((), k_{B} T)) - 1) r^{2} italicdr \end{matrix}

…”

Section: The Modelmentioning

confidence: 99%

Section: The Modelmentioning

confidence: 99%

Section: Chemical Composition and Thermodynamicsmentioning

confidence: 99%

Section: Chemical Composition and Thermodynamicsmentioning

confidence: 99%

“…This approach is also well studied and can be used at relatively low and moderate densities. [1,3,20,33] The form of F N−Ch is…”

Section: Chemical Composition and Thermodynamicsmentioning

confidence: 99%

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The thermophysical properties of low‐temperature Pb plasma

Apfelbaum

2019

Contributions to Plasma Physics

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Calculations of the thermophysical properties of low‐temperature Pb plasma at low densities

Apfelbaum

2021

Contributions to Plasma Physics

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The pressure, internal energy, and electronic transport coefficients of low-temperature Pb plasma were calculated at the temperatures 10-100 kK by means of an earlier developed model (E. M. Apfelbaum, Contrib. Plasma Phys. 2019, 59, e201800148). The plasma composition and thermodynamics were obtained using a chemical approach. The electronic transport coefficients were calculated within the relaxation time approximation with the new accurate momentum transfer cross-section electron-atom. The results of the present calculations have been compared with the new measurement data, obtained at relatively low densities, reaching 0.125 of the value in solid state, which corresponds to the area, where the model can be applied correctly. The good agreement between the calculations and measurements was obtained for both the pressure and the electrical conductivity.

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The general analytical expression for computation of generalized relativistic Fermi-Dirac functions

Мамедов

2022

New Astronomy

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The calculations of thermophysical properties of low-temperature carbon plasma

Cited by 6 publications

References 59 publications

The thermophysical properties of low‐temperature Pb plasma

The thermophysical properties of low‐temperature Pb plasma

Calculations of the thermophysical properties of low‐temperature Pb plasma at low densities

The general analytical expression for computation of generalized relativistic Fermi-Dirac functions

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