Journal ArticleDOI
Modulational stability of electron plasma wave spectra
TLDR
In this article, an analytical model for weakly nonlinear electron plasma waves is considered in order to obtain dynamic equations for the space-time evolution of their local power spectra.Abstract:
Analytical models for weakly nonlinear electron plasma waves are considered in order to obtain dynamic equations for the space-time evolution of their local power spectra. The model contains the wave kinetic equation as a limiting case for slow, long wavelength modulations. It is demonstrated that a finite spectral width in wavenumbers has a stabilizing effect on the modulational instability. The results invite a simple heuristic relation between the spectral width and the root-mean-square amplitude of stable stationary turbulent Langmuir wave spectra. A non-local average dispersion relation is derived as a limiting form by using the formalism developed for the spectral dynamics.read more
Citations
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Journal ArticleDOI
Two-dimensional time evolution of beam-plasma instability in the presence of binary collisions
TL;DR: In this paper, the influence of binary collisions on the beam-plasma instability development in 2D was investigated in order to elucidate the nonlinear dynamics of Langmuir waves and binary collisions.
Journal ArticleDOI
Langmuir wave electric fields induced by electron beams in the heliosphere
TL;DR: In this article, the authors investigate how solar wind density turbulence changes the probability distribution functions, mean value and variance of the beam-driven electric field distributions, and demonstrate how the properties of the electric field distribution should vary radially from the Sun to the Earth and provide a numerical prediction for the upcoming Solar Orbiter and Solar Probe Plus spacecraft.
Journal ArticleDOI
Langmuir Wave Electric Fields Induced by Electron Beams in the Heliosphere
TL;DR: In this article, the authors investigate how solar wind density turbulence changes the probability distribution functions, mean value and variance of the beam-driven electric field distributions, and demonstrate how the properties of the electric field distribution should vary radially from the Sun to the Earth and provide a numerical prediction for the upcoming Solar Orbiter and Solar Probe Plus spacecraft.
Journal ArticleDOI
The Impact of Turbulence on the Ionosphere and Magnetosphere
Patrick Guio,Hans Pécseli +1 more
TL;DR: A mini-review of the description of plasma turbulence with particular attention to wave phenomena that contribute to anomalous resistivity and diffusion can be found in this paper, where the authors discuss the role of wave phenomena in anomalous transport in space plasmas.
Journal ArticleDOI
Stability of electron wave spectra in weakly magnetized plasmas
Mitsuo Kono,Hans Pécseli +1 more
TL;DR: In this paper, a model for nonlinear electron plasma waves in weakly magnetized plasmas was developed for single and multi-mode conditions, with continuous wave spectra being a limiting case.
References
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Journal ArticleDOI
On the Quantum Correction For Thermodynamic Equilibrium
TL;DR: In this article, the Boltzmann formula for the probability of a configuration is given in classical theory by means of a probability function, and the result discussed is developed for the correction term.
Journal ArticleDOI
On the Quantum Correction for Thermodynamic Equilibrium
Joseph E. Mayer,William Band +1 more
TL;DR: In this paper, it was shown that instead of Wigner's approximation, instead of the classical potential U in the exponent by U-kTf, where f is the same as Wigneer's function, the probability of any configurational position is then proportional to exp −U/kT, with U the potential energy.
Journal ArticleDOI
Exact Nonlinear Plasma Oscillations
TL;DR: In this paper, it is shown that, by adding appropriate numbers of particles trapped in the potential energy troughs, essentially arbitrary traveling wave solutions can be constructed, and the possible existence of such waves in an actual plasma will depend on factors ignored in this paper, as in most previous works, namely interparticle collisions and the stability of the solutions against various types of perturbations.
Book
Introduction to Plasma Theory
TL;DR: Theoretically, the Klimontovich Equation is equivalent to the Lenard-Balescu Equation as discussed by the authors and the Liouville Equation for single particle motion.
Journal Article
Collapse of Langmuir Waves
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