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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

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 new simple method to measure the spatial distribution of the electric field in the plasma sheath is proposed. The method is based on the experimental investigation of vertical oscillations of a single particle in the sheath of a…

Chaotic Dynamics · Physics 2009-11-07 A. V. Ivlev , R. Sütterlin , V. Steinberg , M. Zuzic , G. Morfill

In the present analysis we study the self consistent propagation of nonlinear electromagnetic pulses in a one dimensional relativistic electron-ion plasma, from the perspective of nonlinear dynamics. We show how a series of Hamiltonian…

Plasma Physics · Physics 2015-06-26 Alexandre Bonatto , Renato Pakter , Felipe Rizzato

A method for solving model nonlinear equations describing plasma oscillations in the presence of viscosity and resistivity is given. By first going to the Lagrangian variables and then transforming the space variable conveniently, the…

Plasma Physics · Physics 2009-04-15 E. Infeld , G. Rowlands , A. A. Skorupski

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 dispersion relation of longitudinal electrostatic oscillations in a relativistic plasma is studied in the context of the nonextensive statistics formalism proposed by Tsallis [C. Tsallis, J. Stat. Phys. {\bf 52}, 479 (1988)], where…

Plasma Physics · Physics 2007-05-23 Victor Munoz

A self-consistent nonlinear hydrodynamic theory is presented of the propagation of a long and thin relativistic electron beam through a plasma that is relatively strongly magnetized, $|\Omega_e|\sim\omega_{pe}$ and whose density is much…

Plasma Physics · Physics 2018-07-04 Dusan Jovanovic , Renato Fedele , Milivoj Belic , Sergio De Nicola

One-dimensional steady-state plasma-field structures in overdense plasma are studied assuming that the electron temperature is uniform over plasma bulk and the ions are stationary. It is shown that there may exist solutions for electron…

Plasma Physics · Physics 2020-06-03 A. V. Korzhimanov , A. V. Kim

A non-equilibrium plasma was studied using classical electrodynamic field theory. Non-linear interaction terms contribute to a finite lifetime for the dressed electrodynamic field. The lifetime exhibits a $\sim n^{-1} T_{e}^{3/2}…

Plasma Physics · Physics 2007-05-23 Shirish M. Chitanvis

New non-linear, spatially periodic, long wavelength electrostatic modes of an electron fluid oscillating against a motionless ion fluid (Langmuir waves) are given, with viscous and resistive effects included. The cold plasma approximation…

Plasma Physics · Physics 2010-05-28 A. A. Skorupski , E. Infeld

A new class of exact electrostatic solutions of the Vlasov-Maxwell equations based on the Jeans's theorem is proposed for studying the evolution and properties of two-dimensional anisotropic plasmas that are far from thermodynamic…

Plasma Physics · Physics 2017-09-06 A. R. Karimov , M. Y. Yu , L. Stenflo

We report the observation of plasma oscillations in an ultracold neutral plasma. With this collective mode we probe the electron density distribution and study the expansion of the plasma as a function of time. For classical plasma…

Plasma Physics · Physics 2009-11-06 S. Kulin , T. C. Killian , S. D. Bergeson , S. L. Rolston

We consider a pair of driver/witness electron bunches propagating in an ionized gas background a configuration similar to the one produced in a capillary discharge where a plasma oscillation has been excited by a driving pulse. We assume as…

Plasma Physics · Physics 2025-12-08 Abdul Mannan , Alessio Del Dotto , Massimo Ferrario

In this paper we provide sharp criteria for linear stability or instability of equilibria of collisionless plasmas in the presence of boundaries. Specifically, we consider the relativistic Vlasov-Maxwell system with specular reflection at…

Analysis of PDEs · Mathematics 2011-12-21 Toan Nguyen , Walter A. Strauss

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 analysis of nonlinear interaction of transversal electromagnetic field with collisionless plasma is carried out. Formulas for calculation electric current in collisionless plasma with arbitrary degree of degeneration of electronic gas…

Plasma Physics · Physics 2015-02-17 A. V. Latyshev , A. A. Yushkanov

The weakly nonlinear regime of transverse paramagnetic dust grain oscillations in dusty (complex) plasma crystals is discussed. The nonlinearity, which is related to the sheath electric/magnetic field(s) and to the inter--grain…

Plasma Physics · Physics 2009-11-10 Ioannis Kourakis , Padma Kant Shukla

We calculate spectra of radiation produced by a relativistic particle in the presence of one-dimensional Langmuir turbulence which might be generated by a streaming instability in the plasma, in particular, in the shock front or at the…

Astrophysics · Physics 2009-06-23 Gregory D. Fleishman , Igor N. Toptygin

Dissipative processes cause collisionless plasmas in many systems to develop nonthermal particle distributions with broad power-law tails. The prevalence of power-law energy distributions in space/astrophysical observations and kinetic…

High Energy Astrophysical Phenomena · Physics 2022-07-06 Vladimir Zhdankin
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