Coulomb collisions in a “single” ionized plasma

Erofeev, V. I.

doi:10.1063/1.4964189

Cited by 5 publications

(4 citation statements)

References 9 publications

(16 reference statements)

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“…More specifically, the longer a theoretical scenario objectively portrays the macrophysical evolution of a system, the better. For a clearer characterization of this aspect of physical-theoretical scenarios, we have suggested the use of the term informativeness (Erofeev 2011 a , 2013, 2014, 2015 a , b , 2016).…”

Section: Introductionmentioning

confidence: 99%

A drift of Langmuir waves in a magnetized inhomogeneous plasma

Erofeev

2019

J. Plasma Phys.

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The concept of informativeness of nonlinear plasma physics scenarios is explained. Natural ideas of developing highly informative models of plasma kinetics are spelled out. They are applied to develop a formula that governs the drift of long Langmuir waves in spatial positions and wave vectors in a magnetized plasma due to the plasma inhomogeneity. Together with previous findings (Erofeev, Phys. Plasmas, vol. 22, 2015, 092302), the formula evidences the need for an intelligent generalization of the notion of wave energy density from usual homogeneous plasmas to inhomogeneous ones.

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Section: Introductionmentioning

confidence: 99%

A drift of Langmuir waves in a magnetized inhomogeneous plasma

Erofeev

2019

J. Plasma Phys.

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“…Furthermore, during the above small time interval t − t ′ , the particle is in free flight. In view of this, we have [56]:…”

Section: Direct Integration Of the Evolution Equation Of The Two-poin...mentioning

confidence: 99%

The influence of plasma evolution on a kinetic scenario of collisional relaxation of a magnetized plasma

Erofeev

2023

Plasma Phys. Control. Fusion

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For a magnetized plasma, a reduction of the two-time formalism [V.~I.Erofeev, Journal of Plasma Physics \textbf{85}, {905850104} (2019);V.~I. Erofeev, Contributions to Plasma Physics \textbf{62}, {e202100140} (2022)] to a highly informative scenario of redistribution of charged particles in momentum due to Coulomb collisions is reported. The consideration focuses on the standard case of an ideal classical ionized homogeneous plasma. It is found that the leading-order approximation of the scenario is consistent with the well-known generalizations of the Lenard--Balescu equation [A. Lenard, Ann. Phys. \textbf{10}, 390--400 (1960); R. Balescu, Phys. Fluids \textbf{3}, 52--63 (1960)] that take into account the leading magnetic field effect [N. Rostoker, Phys Fluids \textbf{3}, 922-927 (1960); M.H.A. Hassan, C.J.H. Watson, Plasma Phys. \textbf{19}, 237--247 (1977)]. A correction to the collision integral of this equation is developed that is due to time variations of plasma parameters.

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“…Furthermore, during the above small time interval t − t ′ , the particle is in free flight. In view of this, we have [50]:…”

Section: B Direct Integration Of the Evolution Equation Of The Two-po...mentioning

confidence: 99%

The influence of retardation of particle distributions in time on the kinetics of collisional relaxation of a magnetized plasma

EROFEEV

2022

Preprint

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For a magnetized plasma, a reduction of the two-time formalism [V.~I.Erofeev, Journal of Plasma Physics 85, 905850104 (2019);V.~I. Erofeev, Contributions to Plasma Physics 62, e202100140 (2022)] to a highly informative scenario of redistribution of charged particles in momentum due to Coulomb collisions is reported. The consideration focuses on the standard case of an ideal classical ionized homogeneous plasma. It is found that the leading-order approximation of the scenario is consistent with the well-known generalizations of the Lenard--Balescu equation [A. Lenard, Ann. Phys. 10, 390--400 (1960); R. Balescu, Phys. Fluids 3, 52--63 (1960)] that take into account the leading magnetic field effect [N. Rostoker, Phys Fluids 3, 922-927 (1960); M.H.A. Hassan, C.J.H. Watson, Plasma Phys. 19, 237--247 (1977)]. A correction to the collision integral of this equation is developed that is due to time variations of plasma parameters.

show abstract

Coulomb collisions in a “single” ionized plasma

Cited by 5 publications

References 9 publications

A drift of Langmuir waves in a magnetized inhomogeneous plasma

A drift of Langmuir waves in a magnetized inhomogeneous plasma

The influence of plasma evolution on a kinetic scenario of collisional relaxation of a magnetized plasma

The influence of retardation of particle distributions in time on the kinetics of collisional relaxation of a magnetized plasma

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