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Phenomenological studies of cosmic-ray self-confinement often hinge on the linear theory for the growth rate of the streaming instability and for the damping rate of the generated magnetic modes. Largely different expressions exist,…

High Energy Astrophysical Phenomena · Physics 2025-10-17 Benedikt Schroer , Damiano Caprioli , Pasquale Blasi

A Langmuir wave (LW) model is constructed whose equilibria are consistent with stimulated Raman scatter optimization, with Hamiltonian dynamics and with rotational invariance. Linear instability analysis includes terms to all orders in wave…

Plasma Physics · Physics 2009-11-13 Harvey A. Rose , L. Yin

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

In this work, we establish the existence and decay of {\em plasmons}, the quantum of Langmuir's oscillatory waves found in plasma physics, for the linearized Hartree equations describing an interacting gas of infinitely many fermions near…

Analysis of PDEs · Mathematics 2023-06-07 Toan T. Nguyen , Chanjin You

The phenomenon of nonlinear wave mixing is investigated in a Yukawa one-component plasma using two-dimensional classical Langevin molecular dynamics simulations. The wave spectrum indicates that nonlinear interactions between the excited…

Plasma Physics · Physics 2025-11-04 Ajaz Mir , Farida Batool , Sanat Tiwari , Abhijit Sen

In this study we consider the Hamiltonian approach for the construction of a map for a system with nonlinear resonant interaction, including phase trapping and phase bunching effects. We derive basic equations for a single resonant…

This article is devoted to the study of a model of thick sprays which combines the Vlasov equation for the particles and the barotropic compressible Euler equations to describe the fluid, coupled through the gradient of the pressure of the…

Analysis of PDEs · Mathematics 2025-05-06 D. Bian , B. Després , V. Fournet , E. Grenier

In a recent one-dimensional numerical fluid simulation study [Saxena et al., Phys. Plasmas 13,032309 (2006)], it was found that an instability is associated with a special class of one-dimensional nonlinear solutions for modulated light…

Plasma Physics · Physics 2008-09-12 Vikrant Saxena , Amita Das , Sudip Sengupta , Predhiman Kaw , Abhijit Sen

A scaling theory of long-wavelength electrostatic turbulence in a magnetised, weakly collisional plasma (e.g., ITG turbulence) is proposed, with account taken both of the nonlinear advection of the perturbed particle distribution by…

Plasma Physics · Physics 2016-04-26 A. A. Schekochihin , J. T. Parker , E. G. Highcock , P. J. Dellar , W. Dorland , G. W. Hammett

Debye shielding, collisional transport, Landau damping of Langmuir waves, and spontaneous emission of these waves are introduced, in typical plasma physics textbooks, in different chapters. This paper provides a compact unified introduction…

Plasma Physics · Physics 2012-11-26 Dominique Escande , Fabrice Doveil , Yves Elskens

Landau-damped oscillations in collisionless plasmas, described by van Kampen and Case, are quasi-modes, representing a continuous superposition of singular eigenfunctions, not true eigenmodes. Recent work by Ng et al. shows that even rare…

Plasma Physics · Physics 2025-06-24 Evgeny V. Polyachenko , Ilia G. Shukhman

Dynamics of Langmuir modes - Langmuir waves (LW) and shear Langmuir vortices (SLV) - in kinematically complex astrophysical plasma flows is studied. It is found that they exhibit a number of peculiar, velocity shear induced, asymptotically…

Solar and Stellar Astrophysics · Physics 2024-03-01 Ketevan Arabuli , Andria Rogava

Using the Vlasov-wave formalism, it is shown that self-consistency vanishes in the plateau regime of the bump-on-tail instability if the plateau is broad enough. This shows that, in contrast with the "turbulent trapping" Ansatz, a…

Plasma Physics · Physics 2008-07-15 Dominique F. Escande , Yves Elskens

A simulation study is performed to investigate the dynamics of coupled Langmuir waves (LWs) and ion-acoustic waves (IAWs) in an unmagnetized plasma. The effects of dispersion due to charge separation and the density nonlinearity associated…

Plasma Physics · Physics 2010-04-29 S. Banerjee , A. P. Misra , P. K. Shukla , L. Rondoni

Self modulated dynamics of a relativistic charged particle beam is reviewed within the context of the theory of plasma wake field excitation. The self-consistent description of the beam dynamics is provided by coupling the Vlasov equation…

Accelerator Physics · Physics 2016-08-03 T. Akhter , R. Fedele , S. De Nicola , F. Tanjia , D. Jovanovic , A. Mannan

Previous numerical studies have identified "phase mixing" of low-frequency Alfven waves as a mean of parallel electric field amplification and acceleration of electrons in a collisionless plasma. Theoretical explanations are given of how…

Solar and Stellar Astrophysics · Physics 2015-05-19 N. Bian , E. Kontar

Particle-In-Cell (kinetic) simulations of shear Alfv\'en wave interaction with one dimensional, across the uniform magnetic field, density inhomogeneity (phase mixing) in collisionless plasma were performed for the first time. As a result a…

Astrophysics · Physics 2009-11-10 David Tsiklauri , Jun-Ichi Sakai , Shinji Saito

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

On the viewpoint of corpuscular model an electromagnetic radiation can be regarded as a system composed of photons with different energies and momenta, which provides us a method being different from the Maxwell wave theory to describe the…

Plasma Physics · Physics 2013-02-27 Zhigang Bu , Yuee Luo , Hehe Li , Wenbo Chen , Peiyong Ji

Electric and magnetic self-fields can exist in the rotating plasma. A self-sustained rotation can be established in the plasma. The disturbed distribution function of rotating plasma is derived from the Vlasov equation. The propagation of…

Plasma Physics · Physics 2009-11-06 S. N. Arteha