On stability of collisional coupling between relativistic electrons and ions in hot plasmas

Marushchenko, I.; Azarenkov, N. A.; Marushchenko, N. B.

doi:10.1063/1.4766898

Cited by 6 publications

(5 citation statements)

References 15 publications

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“…This process is significant only if and are different. In this case, the contribution from is negligible, and the energy exchange can be explicitly calculated with the relativistic Jüttner-Maxwellian distribution of electrons and the classical Maxwellian distribution of ions [18], (in somewhat different form it was obtained also in [17]).…”

Section: The Equations For Momentsmentioning

confidence: 99%

“…In addition, fully relativistic hydrodynamic has already been developed [17]. At the same time, the plasma generated in laboratory, for example in fusion devices, does not require such a formalism and can be well described without refence to the Lorentz invariance [18][19][20][21]. The present paper deals with the case of quite practical needs and the results obtained here can be easily implemented in any transport code.…”

Section: Introductionmentioning

confidence: 99%

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Braginskii Equations for Hot Relativistic Plasmas: Mixed Approach

Marushchenko¹,

Azarenkov²

2020

Problems of Atomic Science and Technology

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In the paper, the Braginskii equations for relativistic electrons in hot plasmas with slow macroscopic fluxes are derived. This consideration is suitable for description of the typical fusion plasma with the temperatures of about several tens of kiloelectronvolt, when the plasma rotation and the longitudinal currents should be taken into account. Contrary to other papers devoted to classical description of transport processes in fusion devices, as well as to fully relativistic description of the astrophysical objects, we propose the mixed approach with fully relativistic kinetics for the hot electrons and non-relativistic macroscopic fluxes. The obtained form of the Braginskii equations includes all important features of relativistic hydrodynamics, has the same form as the classical representation, which is currently implemented into modern transport codes, and can easily replace the latter.

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Section: The Equations For Momentsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Braginskii Equations for Hot Relativistic Plasmas: Mixed Approach

Marushchenko¹,

Azarenkov²

2020

Problems of Atomic Science and Technology

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“…The first one appears due to a reduction of the contribution from the bulk of the distribution function and prevails in the low-temperature range, T e < 10 keV, leading to a decrease in transport coefficients (note that the slope in figure 1(a) is almost the same for all transport coefficients in this temperature range). A decrease in the bulk contribution is caused by the specific feature of the Maxwell-Jüttner distribution function and can be estimated from C MJ equation (5). The second effect is caused by a broadening of the energy range of contributing electrons and the shift of the maximum of the integrand into higher energies, and this leads to an increase in the transport coefficients with temperature.…”

Section: Comparison Of Relativistic and Non-relativistic Radial Fluxesmentioning

confidence: 99%

“…These effects appear due to the macroscopic features of the relativistic thermodynamic equilibrium given by the Maxwell-Jüttner distribution function [1,4]. An example of such effects provided by the Maxwell-Jüttner distribution function is given in a recent paper [5], where the stability criterion for collisional heat transfer from hot electrons to ions with respect to the Coulomb decoupling is studied and it is found that relativistic effects lead to qualitative changes in stability criteria. While in non-relativistic plasmas criterion is given by T e /T i < 3, relativistic effects makes it temperature-dependent and for T e,i > 75 keV the collisional coupling between electrons and ions becomes absolutely stable.…”

Section: Introductionmentioning

confidence: 99%

Relativistic neoclassical radial fluxes in the 1/νregime

Marushchenko

Azarenkov

Marushchenko

2013

Plasma Phys. Control. Fusion

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Abstract. The radial neoclassical fluxes of electrons in the 1/ν−regime are calculated with relativistic effects taken into account and compared with those in the non-relativistic approach. The treatment is based on the relativistic drift-kinetic equation with the thermodynamic equilibrium given by the relativistic MaxwellJüttner distribution function. It is found that for the range of fusion temperatures, T e < 100 keV, the relativistic effects produce a reduction of the radial fluxes which does not exceed 10%. This rather small effect is a consequence of the non-monotonic temperature dependence of the relativistic correction caused by two counteracting factors: a reduction of the contribution from the bulk and a significant broadening with the temperature growth of the energy range of electrons contributing to transport.The relativistic formulation for the radial fluxes given in this paper is expressed in terms of a set of relativistic thermodynamic forces which is not identical to the canonical set since it contains an additional relativistic correction term dependent on the temperature. At the same time, this formulation allows application of the non-relativistic solvers currently used for calculation of mono-energetic transport coefficients.

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Section: Introductionmentioning

confidence: 99%

Relativistic neoclassical radial fluxes in the 1/nu regime

Marushchenko,

Azarenkov,

Marushchenko

2013

Preprint

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The radial neoclassical fluxes of electrons in the 1/ν−regime are calculated with relativistic effects taken into account and compared with those in the non-relativistic approach. The treatment is based on the relativistic drift-kinetic equation with the thermodynamic equilibrium given by the relativistic Maxwell-Jüttner distribution function. It is found that for the range of fusion temperatures, T e < 100 keV, the relativistic effects produce a reduction of the radial fluxes which does not exceed 10%. This rather small effect is a consequence of the non-monotonic temperature dependence of the relativistic correction caused by two counteracting factors: a reduction of the contribution from the bulk and a significant broadening with the temperature growth of the energy range of electrons contributing to transport.The relativistic formulation for the radial fluxes given in this paper is expressed in terms of a set of relativistic thermodynamic forces which is not identical to the canonical set since it contains an additional relativistic correction term dependent on the temperature. At the same time, this formulation allows application of the non-relativistic solvers currently used for calculation of mono-energetic transport coefficients.

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On stability of collisional coupling between relativistic electrons and ions in hot plasmas

Cited by 6 publications

References 15 publications

Braginskii Equations for Hot Relativistic Plasmas: Mixed Approach

Braginskii Equations for Hot Relativistic Plasmas: Mixed Approach

Relativistic neoclassical radial fluxes in the 1/νregime

Relativistic neoclassical radial fluxes in the 1/nu regime

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