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Dielectric permeability of the degenerate electronic gas for the collisional plasmas is found. The kinetic equation of Wigner -- Vlasov -- Boltzmann with integral of collisions in relaxation form in coordinate space is used. We will notice…

Mathematical Physics · Physics 2010-01-25 Anatoly V. Latyshev , Alexander Yushkanov

Formulas for transversal electric conductivity and dielectric permeability of quantum collisional plasma are deduced. The kinetic equation for a density matrix in relaxation approaching in momentum space is used. It is shown, that when…

Mathematical Physics · Physics 2012-10-12 A. V. Latyshev , A. A. Yushkanov

Detailed deducing of formulas for longitudinal electric conductivity and dielectric permeability in the quantum degenerate collisional plasma with constant collision frequency in Mermin' approach is given. The kinetic…

Plasma Physics · Physics 2013-01-01 A. V. Latyshev , A. A. Yushkanov

The kinetic equation of Wigner -- Vlasov -- Boltzmann with collision integral in relaxation BGK (Bhatnagar, Gross and Krook) form in coordinate space for quantum non--degenerate (Maxwellian) collisional plasma is used. Exact expression…

Mathematical Physics · Physics 2010-03-15 A. V. Latyshev , A. A. Yushkanov

Research of influence of collisions on Friedel oscillations in quantum degenerate collisional plasma (T=0) is carried out for the first time. It is shown that presence of collisions in plasma leads to exponential decreasing of amplitude and…

Mathematical Physics · Physics 2010-08-31 A. V. Latyshev , A. A. Yushkanov

The purpose of this review is to revisit recent results in the literature where quantum plasmas with arbitrary degeneracy degree are considered. This is different from a frequent approach, where completely degeneracy is assumed in dense…

Plasma Physics · Physics 2022-03-17 Fernando Haas , Shahzad Mahmood

The properties of current sheets forming in a ion-kinetically turbulent collisionless plasma are investigated by utilizing the results of two-dimensional hybrid-kinetic numerical simulations. For this sake the algorithm proposed by Zhdankin…

Plasma Physics · Physics 2024-06-19 Amirhassan Chatraee Azizabadi , Neeraj Jain , Jörg Büchner

To better understanding the principal features of collisionless damping/growing plasma waves we have implemented a demonstrative calculation for the simplest cases of electron waves in two-stream plasmas with the delta-function type…

Plasma Physics · Physics 2007-08-07 V. N. Soshnikov

A rigorous and most general covariant kinetic formalism is developed to study the nonlinear waves interaction in relativistic Vlasov plasmas. The typical nonlinear plasma reaction is a nonlinear current measured by the nonlinear plasma…

Plasma Physics · Physics 2009-11-11 M. Lazar , R. Schlickeiser

To expand on recent work, we introduce collisional terms in the analysis of the warm ion-electron, two-fluid equations for a homogeneous plasma at rest. Consequently, the plasma is now described by six variables: the magnetisation, the…

Plasma Physics · Physics 2024-05-21 Joeri De Vadder , Jordi De Jonghe , Rony Keppens

A theory for the generation of current in a toroidal plasma by radio-frequency waves is presented. The effect of an opposing electric field is included, allowing the case of time varying currents to be studied. The key quantities that…

Plasma Physics · Physics 2007-05-23 Charles F. F. Karney , Nathaniel J. Fisch

Formulas for transverse conductance in quantum collisional plasma are deduced. The kinetic equation in momentum space in the relaxation approach is used. It is shown, that at Planck's constant tends to zero the derived formula transfers to…

Plasma Physics · Physics 2012-07-17 A. V. Latyshev , A. A. Yushkanov

For an electrostatic wave interacting with a single species in a collisionless plasma, momentum conservation implies current conservation. However, when multiple species interact with the wave, they can exchange momentum, leading to current…

Plasma Physics · Physics 2023-05-18 Ian E. Ochs , Nathaniel J. Fisch

Formulas for transverse conductance in quantum non-degenerate collisional plasma are deduced. The kinetic equation in momentum space in the relaxation approach is used. It is shown, that at $\hbar\to 0$ the derived formula transfers to the…

Plasma Physics · Physics 2012-06-19 A. V. Latyshev , A. A. Yushkanov

Formulas for calculation of transverse dielectric function and transverse electric conductivity in quantum collisional Maxwellian plasma are obtained. The Wigner -- Vlasov -- Boltzmann kinetic equation with collision integral in BGK…

Mathematical Physics · Physics 2010-05-06 A. V. Latyshev , A. A. Yushkanov

The nonlinear frequency shift is derived in a transparent asymptotic form for intense Langmuir waves in general collisionless plasma. The formula describes both fluid and kinetic effects simultaneously. The fluid nonlinearity is expressed,…

Plasma Physics · Physics 2015-11-13 Chang Liu , Ilya Y. Dodin

The boundary problem about behaviour (oscillations) of the electronic plasmas with arbitrary degree of degeneration of electronic gas in half-space with diffusion boundary conditions is analytically solved. The kinetic equation of Vlasov -…

Plasma Physics · Physics 2017-01-06 A. V. Latyshev , S. Suleimanova

Previously developed method for finding asymptotic solutions of Vlasov equations using two-dimensional (in coordinate x and time t) Laplace transform is here applied to consider transversal oscillations and waves in low-collision…

Plasma Physics · Physics 2007-05-23 V. N. Soshnikov

Formulas for the longitudinal dielectric permeability in quantum degenerate collisional plasma with the frequency of collisions proportional to the module of the wave vector, in Mermin's approach, are received. Equation of Shr\"{o}dinger -…

Plasma Physics · Physics 2013-02-05 A. V. Latyshev , A. A. Yushkanov

The analytical solution of the boundary problem on behaviour (oscillations) of the electronic plasmas with arbitrary degree of degeneration of electronic gas in a slab of the conducting medium is received. The kinetic Vlasov---Boltzmann…

Plasma Physics · Physics 2017-10-25 A. V. Latyshev , N. M. Gordeeva