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Wave turbulence describes the long-time statistical behavior of out-of-equilibrium systems composed of weakly interacting waves. Non-Hermitian media ranging from open quantum systems to active materials can sustain wave propagation in…

We present a detailed derivation of the continuity, Euler, and energy balance equations from many particle Schrodinger equation. Interparticle interaction is explicitly considered as the Coulomb interaction. We show the QHD equations in a…

Plasma Physics · Physics 2014-07-30 P. A. Andreev , L. S. Kuz'menkov

A theoretical investigation has been carried out to examine the ion-acoustic shock waves (IASHWs) in a magnetized degenerate quantum plasma system containing inertialess ultra-relativistically degenerate electrons, and inertial…

Plasma Physics · Physics 2021-03-31 S. Jahan , T. S. Roy , B. E. Sharmin , N. A. Chowdhury , A. Mannan , A. A. Mamun

Using the quantum magnetohydrodynamics (QMHD) model, linear dispersion of magnetosonic waves are studied in a quasineutral quantum electron-ion plasma in two distinct regimes of nonrelativistic and relativistic degeneracies considering also…

Plasma Physics · Physics 2015-06-04 M. Akbari-Moghanjoughi

We determine the growth rate of linear instabilities resulting from long-wavelength transverse perturbations applied to periodic nonlinear wave solutions to the Schamel-Korteweg-de Vries-Zakharov-Kuznetsov (SKdVZK) equation which governs…

Plasma Physics · Physics 2022-12-26 S. Phibanchon , M. A. Allen , G. Rowlands

Consider a non collisional quantum plasma, where electrons stream with a velocity u0 relative to the ions, which are assumed to be initially at rest due to their mass. A quantum dispersion relation is obtained having considered the Bohm…

Plasma Physics · Physics 2018-06-29 Herman Rodrigo Vallejos

We consider the propagation of short waves which generate waves of much longer (infinite) wave-length. Model equations of such long wave-short wave resonant interaction, including integrable ones, are well-known and have received much…

Exactly Solvable and Integrable Systems · Physics 2021-09-10 Marcos Caso-Huerta , Antonio Degasperis , Sara Lombardo , Matteo Sommacal

The nonlinear interaction, due to quantum electrodynamical (QED) effects, between photons is investigated using a wave-kinetic description. Starting from a coherent wave description, we use the Wigner transform technique to obtain a set of…

Plasma Physics · Physics 2015-06-26 M. Marklund , P. K. Shukla , G. Brodin , L. Stenflo

Six-wave interactions are used for modeling various physical systems, including in optical wave turbulence [16] (where a cascade of photons displays this kind of behavior) and in quantum wave turbulence [31] (for the interaction of Kelvin…

Analysis of PDEs · Mathematics 2025-01-22 Nataša Pavlović , Maja Tasković , Luisa Velasco

Propagation of the finite amplitude electromagnetic wave through the partially spin-polarized degenerate plasmas leads to the instability. The instability happens at the interaction of the electromagnetic wave with the small frequency…

Plasma Physics · Physics 2023-08-02 Pavel A. Andreev

We examine the properties of linear electrostatic waves in unmagnetized quantum and classical plasmas consisting of one or two populations of electrons with analytically tractable distribution functions in the presence of a stationary…

Plasma Physics · Physics 2018-09-12 Shane Rightley , Dmitri Uzdensky

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

Electron-beam plasma interaction has long been a topic of great interest. Despite the success of Quasi-Linear (QL) theory and Weak Turbulence (WT) theory, their validities are limited by the requirement of sufficiently dense mode spectrum…

Plasma Physics · Physics 2022-10-05 Haomin Sun , Jian Chen , Igor D. Kaganovich , Alexander Khrabrov , Dmytro Sydorenko

We describe quantum hydrodynamic equations with the Coulomb exchange interaction for three and two dimensional plasmas. Explicit form of the force densities are derived. We present non-linear Schrodinger equations (NLSEs) for the Coulomb…

Plasma Physics · Physics 2014-08-08 Pavel A. Andreev

We focus our attention on some relevant aspects of the beam-plasma instability in order to refine some features of the linear and non-linear dynamics. After a re-analysis of the Poisson equation and of the assumption dealing with the…

Plasma Physics · Physics 2020-10-23 Nakia Carlevaro , Matteo Del Prete , Giovanni Montani , Fabio Squillaci

A novel route to instabilities and turbulence in fluid and plasma flows is presented in kinetic Vlasov-Maxwell model. New kind of flow instabilities is shown to arise due to the availability of new kinetic energy sources which are absent in…

Plasma Physics · Physics 2015-06-19 Dhurjati Prasad Datta , Sudip Sen

The irreducible representations of the extended Galilean group are used to derive infinite sets of symmetric and asymmetric second-order differential equations with constant coeffcients. All derived equations are local and their Lagrangians…

General Physics · Physics 2023-04-14 Z. E. Musielak

On the basis of the semiclassical equations for quark-gluon plasma (QGP) and Yang-Mills equation, the generalized kinetic equation for waves with regard to its interaction is obtained. The physical mechanisms defining nonlinear scattering…

High Energy Physics - Phenomenology · Physics 2009-10-31 Y. A. Markov , M. A. Markova

Parametric instabilities driven by partially coherent radiation in plasmas are described by a generalized statistical Wigner-Moyal set of equations, formally equivalent to the full wave equation, coupled to the plasma fluid equations. A…

Plasma Physics · Physics 2009-11-13 J. E. Santos , L. O. Silva , R. Bingham

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
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