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This paper is concerned with multidimensional Euler-Poisson equations for plasmas. The equations take the form of Euler equations for the conservation laws of the mass density and current density for charge-carriers (electrons and ions),…

Analysis of PDEs · Mathematics 2012-05-17 Jiang Xu , Ting Zhang

A self-consistent relativistic two-fluid model is proposed for one-dimensional electron-ion plasma dynamics. A multiple scales perturbation technique is employed, leading to an evolution equation for the wave envelope, in the form of a…

Plasma Physics · Physics 2016-07-06 M. McKerr , F. Haas , I. Kourakis

In this paper, we study the quasineutral limit (in other words the limit when the Debye length tends to zero) of Vlasov-Poisson like equations describing the behaviour of ions in a plasma. We consider massless electrons, with a charge…

Analysis of PDEs · Mathematics 2010-11-30 Daniel Han-Kwan

We study the behavior of perturbations in a compressible one-dimensional inviscid gas with an ambient state consisting of constant pressure and periodically-varying density. We show through asymptotic analysis that long-wavelength…

Analysis of PDEs · Mathematics 2025-08-27 David I. Ketcheson , Giovanni Russo

Quantum plasma with arbitrary degree degeneration of electronic gas is considered. Plasma is in two external electromagnetic fields. It is required to find the plasma response on this fields. From Wigner kinetic equation for the quantum…

Plasma Physics · Physics 2021-05-19 A. V. Latyshev , A. A. Yushkanov

A recent paper [Phys. Plasmas 20, 032304 (2013)] considered the forced linear Vlasov equation as a model for the quasi-steady state of a single stable plasma wavenumber interacting with a bath of turbulent fluctuations. This approach gives…

Plasma Physics · Physics 2015-01-08 G. G. Plunk , J. T. Parker

We present a microscopic calculation of the electric conductivity and net-particle diffusion coefficients for a viscous and resistive ultra-relativistic plasma. Our results might be of interest for several astrophysical and cosmological…

High Energy Physics - Phenomenology · Physics 2025-06-13 Ferdinando Frascà , Andrea Beraudo , Luca Del Zanna

A procedure that allows study of unstable stability of a boundary layer between plasma and a magnetic field has been developed. Layer equilibrium for one reason or another is not set but follows from strict solution of kinetic equation with…

Plasma Physics · Physics 2010-05-25 V. V. Lyahov , V. M. Neshchadim

In this short note, we present some work on investigating electron temperatures and potentials in steady or unsteady dilute plasma flows. The analysis is based on the detailed fluid model for electrons. Ionization, normalized electron…

Plasma Physics · Physics 2023-12-27 Shiying Cai , Chunpei Cai , Xin He

The non-perturbative curvature inhomogeneities induced by relativistic viscous fluids are not conserved in the large-scale limit. However when the bulk viscosity is a function of the total energy density of the plasma (or of the trace of…

High Energy Physics - Theory · Physics 2015-08-06 Massimo Giovannini

We propose a theoretical and computational approach to investigate temporal behavior of a nonlinear polarization in perturbative regime induced by an intense and ultrashort pulsed electric field. First-principles time-dependent density…

Optics · Physics 2019-03-27 Mitsuharu Uemoto , Yuki Kuwabara , Shunsuke A. Sato , Kazuhiro Yabana

The problem of the one dimensional electro-diffusion of ions in a strong binary electrolyte is considered. In such a system the solute dissociates completely into two species of ions with unlike charges. The mathematical description…

Chemical Physics · Physics 2012-03-28 Sandip Ghosal , Zhen Chen

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

We demonstrate theoretically and numerically that a warm fluid model of a plasma supports space-time quasicrystalline structures. These structures are highly nonlinear, two-phase, ion acoustic waves that are excited autoresonantly when the…

Plasma Physics · Physics 2022-05-26 Vadim R. Munirov , Lazar Friedland , Jonathan S. Wurtele

The instability of current-driven ion-acoustic waves in the collisionless magnetic-field-free space plasma is investigated by using a nonextensive approach. The ions and the electrons are thought of in the power-law distributions that can…

Plasma Physics · Physics 2015-08-10 Zhipeng Liu , Liyan Liu , Jiulin Du

Nonlinear waves are studied in a mixture of liquid and gas bubbles. Influence of viscosity and heat transfer is taken into consideration on propagation of the pressure waves. Nonlinear evolution equations of the second and the third order…

Pattern Formation and Solitons · Physics 2011-12-23 Nikolay A. Kudryashov , Dmitry I. Sinelshchikov

A kinetic equation describing the nonlinear evolution of intense electromagnetic pulses in electron-positron (e-p) plasmas is presented. The modulational instability is analyzed for a relativistically intense partially coherent pulse, and…

Plasma Physics · Physics 2007-05-23 M. Marklund , B. Eliasson , P. K. Shukla

The method of moments is used to calculate the dynamic conductivity of strongly coupled fully ionized hydrogen plasmas. The electron density $n_{e}$ and temperature $T$ vary in the domains $ 10^{21} < n_{e} < 10^{24} {\rm cm}^{-3}$, $10^{4}…

Plasma Physics · Physics 2013-03-05 V. M. Adamyan , A. A. Mihajlov , N. M. Sakan , V. A. Sreckovic , I. M. Tkachenko

Nonlinear, relativistic longitudinal waves with sub-luminal phase velocity $v_p$ are the basis of plasma-based electron accelerators. For such application, key properties of the wave are the maximum or ``wave breaking'' amplitude and the…

Plasma Physics · Physics 2019-07-03 A. Macchi

We study the expansion of ultracold neutral plasmas in the regime in which inelastic collisions are negligible. The plasma expands due to the thermal pressure of the electrons, and for an initial spherically symmetric Gaussian density…

Plasma Physics · Physics 2009-11-13 S. Laha , P. Gupta , C. E. Simien , H. Gao , J. Castro , T. Pohl , T. C. Killian