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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

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

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

The generation of parallel electric fields by the propagation of ion cyclotron waves in the plasma with a transverse density inhomogeneity was studied. It was proven that the minimal model required to reproduce the previous kinetic…

Astrophysics · Physics 2008-06-10 David Tsiklauri

The traditional generalized Ohm's law in MHD do not explicitly present the relation of electric currents and electric fields in fully ionized plasma, and lead to some unexpected concepts, such as "the magnetic frozen-in plasma", magnetic…

Solar and Stellar Astrophysics · Physics 2010-07-29 Zhiliang Yang

Collisionless dissipation of macroscopic energy into heat is an unsolved problem of space and astrophysical plasmas, e.g., solar wind and Earth's magnetosheath. The most viable process under consideration is the turbulent-cascade of…

Plasma Physics · Physics 2021-10-04 Neeraj Jain , Jörg Büchner , Horia Comişel , Uwe Motschmann

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

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

A kinetic theory is developed to describe radiating electrons whose motion is governed by the Lorentz-Dirac equation. This gives rise to a generalized Vlasov equation coupled to an equation for the evolution of the physical submanifold of…

Mathematical Physics · Physics 2015-06-11 A. Noble , J. Gratus , D. A. Burton , D. A. Jaroszynski

We develop a new method for describing the dynamics of 3-dimensional thermal plasmas. Using a piecewise constant 1-particle distribution, we reduce the Vlasov equation to a generalized Lorentz force equation for a family of vector fields…

Plasma Physics · Physics 2015-05-13 D. A. Burton , A. Noble , H. Wen

A statistical theory is presented which allows to calculate the stationary state achieved by a driven system after a process of collisionless relaxation. The theory is applied to study an electron beam driven by an external electric field.…

Statistical Mechanics · Physics 2009-04-03 Felipe B. Rizzato , Renato Pakter , Yan Levin

A model for the collisional stopping of ions on free electrons in warm dense matter is developed and explored. It is based on plasma kinetic theory, but with modifications to address the warm dense matter regime. Specifically, it uses the…

Plasma Physics · Physics 2026-02-06 Lucas Babati , Shane Rightley , Nathaniel Shaffer , Scott Baalrud

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

In this study, the Vlasov-Poisson equation with or without collision term for plasma is solved by the unified gas kinetic scheme (UGKS). The Vlasov equation is a differential equation describing time evolution of the distribution function…

Computational Physics · Physics 2018-10-18 Dongxin Pana , Chengwen Zhong , Congshan Zhuo , Wei Tan

A multispecies, collisionless plasma is modeled by the Vlasov-Poisson system. Assuming that the electric field decays with sufficient rapidity as $t \to\infty$, we show that the velocity characteristics and spatial averages of the particle…

Analysis of PDEs · Mathematics 2022-01-25 Stephen Pankavich

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

A nonlinear kinetic equation for nonrelativistic quantum plasma with electromagnetic interaction of particles is obtained in the Hartree's mean-field approximation. It is cast in a convenient form of Vlasov-Boltzmann-type equation with…

Plasma Physics · Physics 2011-11-30 Y. O. Tyshetskiy , S. V. Vladimirov , R. Kompaneets

We show that driving a two-dimensional electron gas by an in-plane electric field oscillating at the frequency $\omega$ gives rise to an electric current at $2\omega$ flowing near the edge of the system. This current has both parallel and…

Mesoscale and Nanoscale Physics · Physics 2022-10-12 M. V. Durnev , S. A. Tarasenko

Solutions of the linearized Vlasov-Poisson equations for the electric field radiated by a time varying point charge in a three-dimensional, unbounded, spatially homogeneous plasma with a uniform background magnetic field and a uniform…

Plasma Physics · Physics 2015-06-04 John J. Podesta