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The before described general principles and methodology of calculating electron wave propagation in homogeneous isotropic half-infinity slab of Maxwellian plasma with indefinite but in principal value sense taken integrals in characteristic…

Plasma Physics · Physics 2008-03-30 V. N. Soshnikov

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

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

The aim of this paper is to give an account of some applications of pseudodifferential calculus for solving linear wave equations in the limit of high frequency/short wavelength waves. More specifically, on using as a benchmark the case of…

Mathematical Physics · Physics 2007-05-23 Omar Maj

In this paper we have criticized the so-called Landau damping theory. We have analyzed solutions of the standard dispersion equations for longitudinal (electric) and transversal (electromagnetic and electron) waves in half-infinite slab of…

Plasma Physics · Physics 2008-03-30 V. N. Soshnikov

The self-consistent description of Langmuir wave and ion-sound wave turbulence in the presence of an electron beam is presented for inhomogeneous non-isothermal plasmas. Full numerical solutions of the complete set of kinetic equations for…

Plasma Physics · Physics 2019-03-21 E. P. Kontar , H. L. Pecseli

This paper presents quasilinear theory (QLT) for classical plasma interacting with inhomogeneous turbulence. The particle Hamiltonian is kept general; for example, relativistic, electromagnetic, and gravitational effects are subsumed. A…

Plasma Physics · Physics 2022-08-10 I. Y. Dodin

Potential (electrostatic) surface waves in plasma half-space with degenerate electrons are studied using the quasi-classical mean-field kinetic model. The wave spectrum and the collisionless damping rate are obtained numerically for a wide…

Plasma Physics · Physics 2015-06-03 Yu. O. Tyshetskiy , D. Williamson , R. Kompaneets , S. V. Vladimirov

After approximate replacing of Maxwellian distribution exponent with the rational polynomial fraction we have obtained precise analytical expression for and calculated the principal value of logarithmically divergent integral in the…

Plasma Physics · Physics 2007-09-17 V. N. Soshnikov

Magneto-acoustic waves in partially ionized plasmas are damped due to elastic collisions between charged and neutral particles. Here, we use a linearized two-fluid model to describe the influence of this collisional interaction on the…

Plasma Physics · Physics 2025-10-17 David Martínez-Gómez

This paper addresses the linear and nonlinear three-dimensional propagation of an electron wave in a collisionless plasma that may be inhomogeneous, nonstationary, anisotropic and even weakly magnetized. The wave amplitude, together with…

Plasma Physics · Physics 2016-11-03 Didier Bénisti

The incomplete plasma dispersion function is a generalization of the plasma dispersion function in which the defining integral spans a semi-infinite, rather than infinite, domain. It is useful for describing the linear dielectric response…

Plasma Physics · Physics 2013-03-05 Scott D. Baalrud

A nonlinear dispersion of a general stationary wave in collisionless plasma is obtained in a non-differential form from a single-particle oscillation-center Hamiltonian. For electrostatic oscillations in nonmagnetized plasma, considered as…

Plasma Physics · Physics 2015-05-28 I. Y. Dodin , N. J. Fisch

Previously developed method for finding asymptotic solutions of Vlasov equations using two-dimensional (in coordinate x and time t) Laplace transform is applied to low-collision electron-ion plasmas. Taking into account Coulomb collisions…

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

The study of the ultrarelativistic plasmas in perturbation theory is plagued with infrared divergences which are not eliminated by the screening corrections. They affect, in particular, the computation of the lifetime of the elementary…

High Energy Physics - Phenomenology · Physics 2007-05-23 Edmond Iancu , Service de Physique Theorique , Saclay , France

We study the damping from neutral-ion collisions of both incompressible and compressible magnetohydrodynamic (MHD) turbulence in partially ionized medium. We start from the linear analysis of MHD waves applying both single-fluid and…

High Energy Astrophysical Phenomena · Physics 2016-08-17 Siyao Xu , Huirong Yan , A. Lazarian

In this paper, we develop a model to describe the generalized wave-particle instability in a quasi-neutral plasma. We analyze the quasi-linear diffusion equation for particles by expressing an arbitrary unstable and resonant wave mode as a…

Space Physics · Physics 2020-10-22 Seong-Yeop Jeong , Daniel Verscharen , Robert T. Wicks , Andrew N. Fazakerley

For short wavelengths, it is well known that the linearized Wigner-Moyal equation predicts wave damping due to wave-particle interaction, where the resonant velocity shifted from the phase velocity by a velocity $v_q = \hbar k/2m$. Here…

Plasma Physics · Physics 2017-11-15 Gert Brodin , Robin Ekman , Jens Zamanian

Collisionless damping of electrical waves in plasma is investigated in the frame of the classical formulation of the problem. The new principle of regularization of the singular integral is used. The exact solution of the corresponding…

Statistical Mechanics · Physics 2008-08-01 Boris V. Alexeev

In this paper we study the Hamiltonian dynamics of charged particles subject to a non-self-consistent stochastic electric field, when the plasma is in the so-called weak turbulent regime. We show that the asymptotic limit of the Vlasov…

Analysis of PDEs · Mathematics 2021-10-13 Claude Bardos , Nicolas Besse
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