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In this paper, we establish nonlinear Landau damping below survival threshold for collisionless charged particles following the meanfield Vlasov theory near general radial equilibria. In absence of collisions, the long-range Coulomb pair…

Analysis of PDEs · Mathematics 2024-12-30 Toan T. Nguyen

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

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

It is shown in linear approximation that in the case of one-dimensional problem of transverse electron waves in a half-infinite slab of homogeneous Maxwellian collisionless plasma with the given boundary field frequency two wave branches of…

Plasma Physics · Physics 2007-11-20 V. N. Soshnikov

Electrostatic waves in a collision-free unmagnetized plasma of electrons with fixed ions are investigated for electron equilibrium velocity distribution functions that deviate slightly from Maxwellian. Of interest are undamped waves that…

Plasma Physics · Physics 2015-06-05 F. Valentini , D. Perrone , F. Califano , F. Pegoraro , P. Veltri , P. J. Morrison , T. M. O'Neil

Vlasov-Poisson-Fokker-Planck (VPFP) simulations of large-amplitude electron plasma waves, where the bounce frequency is much larger than the collision frequency, $\omega_B \gg \nu_\text{ee}$, show that the evolution of these waves exhibits…

Plasma Physics · Physics 2026-03-13 A. S. Joglekar , A. G. R. Thomas

Treatments of plasma waves usually assume homogeneity, but the parallel gradients ubiquitous in plasmas can modify wave propagation and absorption. We derive a quasilocal inhomogeneous correction to the plasma dielectric for arbitrary…

Plasma Physics · Physics 2025-10-23 S. J. Frank , J. C. Wright , P. T. Bonoli

The linear and nonlinear theories of electron-acoustic waves (EAWs) are studied in a partially degenerate quantum plasma with two-temperature electrons and stationary ions. The initial equilibrium of electrons is assumed to be given by the…

Plasma Physics · Physics 2021-11-03 Amar P. Misra , Debjani Chatterjee , Gert Brodin

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

The dynamics of nonlinear ion-acoustic solitary waves in the presence of kinetic (Landau type) damping have been investigated in a collisionless, non-magnetized electron-ion plasma. A cold ion fluid model, coupled to a Vlasov-type kinetic…

Plasma Physics · Physics 2024-06-07 Hadia Mushtaq , Kuldeep Singh , Sadia Zaheer , Ioannis Kourakis

We study the nonlinear propagation of ion-acoustic waves (IAWs) in an unmagnetized collisionless plasma with the effects of electron and ion Landau damping in the weak quantum (semiclassical) regime, i.e., when the typical ion-acoustic (IA)…

Plasma Physics · Physics 2017-07-04 A. Barman , A. P. Misra

A method for solving linearized Vlasov equation for low-frequency, long-wavelength electromagnetic modes in magnetically confined inhomogeneous plasmas is described. The relevant non-local solution that includes the lowest-significant-order…

Plasma Physics · Physics 2025-12-09 Bamandas Basu

Plasmon and polariton modes are derived for an ideal semi-infinite (half-space) plasma and an ideal plasma slab by using a general, unifying procedure, based on equations of motion, Maxwell's equations and suitable boundary conditions.…

Optics · Physics 2015-05-13 M. Apostol , G. Vaman

The kinetic damping mechanism of low frequency transverse perturbations propagating parallel to the magnetic field in a magnetized warm electron plasma is simulated by means of electromagnetic (EM) Vlasov simulations. The short-time-scale…

Plasma Physics · Physics 2022-10-26 Anjan Paul , Devendra Sharma

The collision frequencies of electron-neutral-particle in the weakly ionized complex plasmas with the non-Maxwellian velocity distributions are studied. The average collision frequencies of electron-neutral-particle in the plasmas are…

Plasma Physics · Physics 2021-08-31 Hong Wang , Jiulin Du , Rui Huo

Ion cyclotron resonance is one of the fundamental energy conversion processes through field-particle interaction in collisionless plasmas. However, the key evidence for ion cyclotron resonance (i.e., the coherence between electromagnetic…

Plasma Physics · Physics 2022-03-30 Qiaowen Luo , Xingyu Zhu , Jiansen He , Jun Cui , Hairong Lai , Daniel Verscharen , Die Duan

High-amplitude, chaotic/turbulent electromagnetic fluctuations are ubiquitous in high-energy-density laboratory and astrophysical plasmas, where they can be excited by various kinetic-streaming and/or anisotropy-driven instabilities, such…

Plasma Physics · Physics 2015-11-11 Brett D. Keenan , Alexander L. Ford , Mikhail V. Medvedev

The results of a theoretical investigation on the low-velocity stopping power of the ions moving in a magnetized collisional plasma are presented. The stopping power for an ion is calculated employing linear response theory using the…

Plasma Physics · Physics 2015-05-19 Hrachya B. Nersisyan , Claude Deutsch , Amal K. Das

A general solution to linearized Vlasov equation for an electron electrostatic wave in a homogeneous unmagnetized plasma is derived. The quasi-linear diffusion coefficient resulting from this solution is a continuous function of omega in…

Plasma Physics · Physics 2015-10-15 Deng Zhou

Collisionless plasmas, mostly present in astrophysical and space environments, often require a kinetic treatment as given by the Vlasov equation. Unfortunately, the six-dimensional Vlasov equation can only be solved on very small parts of…

Plasma Physics · Physics 2023-05-03 Simon Lautenbach , Rainer Grauer