Plasma waves in a nonideal plasma

Valuev, A. A.; Kaklyugin, A. S.; Norman, G. É.

doi:10.1134/1.558493

Cited by 14 publications

(9 citation statements)

References 13 publications

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“…In this Section we have presented theoretical arguments that the velocity distribution in the solar core should deviate from the standard one and, in particular, that it could follow Tsallis' distribution [9,10] shown in Eq. (11). We have also estimated the deviation from the standard statistics from the known microfield distribution.…”

Section: Discussionmentioning

confidence: 99%

“…where γ is the effective friction coefficient, which can be written in terms of the Landau (γ L ) and collisional (γ c ) damping [11]. The explicit form of the memory kernel depends on the specific system and, in principle, should be deduced from a microscopic calculation.…”

Section: Memory Effects and Collective Variablesmentioning

confidence: 99%

“…In the limit of negligible memory effects, the memory kernel becomes a δ-function, that is, K(t) = γ δ(t), where γ is the effective friction coefficient, which can be written in terms of the Landau (γ L ) and collisional (γ c ) damping [11].…”

Section: Memory Effects and Collective Variablesmentioning

confidence: 99%

“…The third approach has been just started and aims to connect the distribution of collective variables [11] to memory effects and long-time correlations between velocities. There should exist solutions compatible with the Tsallis' distribution and/or other non-Maxwellian distributions.…”

Section: Introductionmentioning

confidence: 99%

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Thermal distributions in stellar plasmas, nuclear reactions and solar neutrinos

Coraddu¹,

Kaniadakis²,

Lavagno³

et al. 1999

Braz. J. Phys.

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The physics of nuclear reactions in stellar plasma is reviewed with special emphasis on the importance of the velocity distribution of ions. Then the properties density and temperature of the weak-coupled solar plasma are analysed, showing that the ion velocities should deviate from the Maxwellian distribution and could be better described by a w eakly-nonexstensive jq , 1j 0:02 Tsallis' distribution. We discuss concrete physical frameworks for calculating this deviation: the introduction of higher-order corrections to the di usion and friction coe cients in the Fokker-Planck equation, the in uence of the electric-micro eld stochastic distribution on the particle dynamics, a v elocity correlation function with long-time memory arising from the coupling of the collective and individual degrees of freedom. Finally, w e study the e ects of such deviations on stellar nuclear rates, on the solar neutrino uxes, and on the pp neutrino energy spectrum, and analyse the consequences for the solar neutrino problem.

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Section: Discussionmentioning

confidence: 99%

Section: Memory Effects and Collective Variablesmentioning

confidence: 99%

Section: Memory Effects and Collective Variablesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Thermal distributions in stellar plasmas, nuclear reactions and solar neutrinos

Coraddu¹,

Kaniadakis²,

Lavagno³

et al. 1999

Braz. J. Phys.

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show abstract

“…Polarization restriction by the wave vector value of ∼ n 1/3 and expression for the energy of Coulomb long-range correlation in the arcctg-form was firstly received in [9]. Calculations U corr without explanation of changing a nature of kinetic approximations were performed in [10], similar wave vector restrictions were used later in [11,12].…”

Section: Plasma Model: Separation Of the Coulomb Interactionmentioning

confidence: 99%

Nonideal Plasma Thermodynamics: Separate Account of Short- and Long-Range Interaction

Kaklyugin

2001

Contrib. Plasma Phys.

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Quasiclassical Theory and Molecular Dynamics of Two‐Component Nonideal Plasmas

Ébeling

Norman

Valuev

et al. 1999

Contrib. Plasma Phys.

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A b s t r a c t I n t r o d u c t i o nIn nearly all cases gaseous plasmas behave classically and the largest part of plasma physics is based on classical theory. However strictly speaking classical theory cannot provide the full truth since the Coulomb singularity does not admit a classical treatment. It was first Planck in the twenthies who reckognized this principal difficulty and made a first approach how to develop a consequent semi-classical theory. Planck's basic idea was to split the pair states into bound states which have to be treated by quantum theory and free states which admit a semi-classical tratment. This idea was developed by Brillouin and treated in recent time with modern quantum statistical methods by Larkin and others [l, 21. Here MD-calculations are performed and compared with theoretical expressions. Our main interest is devoted to the semi-classical theory of the free charges in plasmas consisting of electrons and ions in the range of large nonideality (coupling) parameter r = ez/kTd, where d = ( 3 / 4~n , ) ' /~ is the average distance between the ions. Berlin and Montroll, Unsold, Ecker and Weizel, Kaklyugin and others [3, 4, 5, 61 predicted that in the region of large r the thermodynamic functions, e.g. the mean Coulomb energy U,, should observe a linear scaling with r. Method of effective potentialsThe idea of effective potentials is to incorporate classical as well as quantum-mechanical effects by appropriate potentials. Such a quasi-classical approach has of course several limits which are basically connected with the trajectory concept. We mention for example the principal difficulty to describe microspic quantum effects as tunneling, and macroscopic quantum effects as superfluidity and superconductance. Our aim is only the calculation of standard macroscopic properties which have a well defined classical limit. Since bound states cannot be described classically our method is restricted to the subsystem of free charges. However this is not a very serious restriction since most properties of the plasma are determined by the subsystem of the free charges. In the following we shall use the BPL-convention for the bound states and quasi-classical approximations for the effective potential [l, 2, 7, 81 The most easy way to arrive at potentials including quantum effects is through the so-called Slater sums. The Slater sum is an analogue of the classical Boltzmann factor and allows to define effective potentials [l, 2, 7, 81 62 Contrib. Plapma Phys. 39 (1999) where with 5 = r/&b. The effective potentials derived from perturbation theory (Kelbg-like potentials) do not include bound state effects and give the constant A = 0. They may be used only in the region of high temperaturesIn the region of inter,mediate temperatures 0.1 < T < 0.3 we may use the Kelbg-potential with a temperature-dependent correction A(T) which is adapted in such away that Sob(r = 0) has the exact value corresponding to the two-particle wave functions [l]. At lower temperatures T < 0.1 we may perform the limit li + 0...

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Plasma waves in a nonideal plasma

Cited by 14 publications

References 13 publications

Thermal distributions in stellar plasmas, nuclear reactions and solar neutrinos

Thermal distributions in stellar plasmas, nuclear reactions and solar neutrinos

Nonideal Plasma Thermodynamics: Separate Account of Short- and Long-Range Interaction

Quasiclassical Theory and Molecular Dynamics of Two‐Component Nonideal Plasmas

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