Nonlinear plasma waves in an electron gas
@article{Kolomeisky2018NonlinearPW, title={Nonlinear plasma waves in an electron gas}, author={Eugene B. Kolomeisky}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2018} }
The nature of traveling wave solutions to equations of hydrodynamics of a generic three-dimensional electron gas with parabolic dispersion law depends on whether the motion is subsonic or supersonic. Solitons representing localized depressions of the electrostatic potential and electron density are predicted to exist in the subsonic regime: at rest the solitons are dark while in motion they are grey. Two types of periodic waves are found in the supersonic regime: (i) smooth waves whose small…
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References
SHOWING 1-10 OF 28 REFERENCES
Qualitative structures of electron-acoustic waves in an unmagnetized plasma with q-nonextensive hot electrons
- Physics
- 2015
The qualitative structures of electron-acoustic waves are investigated in an unmagnetized plasma containing cold electron fluid, q-nonextensive hot electrons and stationary ions. Applying the phase…
Solitonic, Periodic and Quasiperiodic Behaviors of Dust Ion Acoustic Waves in Superthermal Plasmas
- Physics
- 2015
The solitonic, periodic, and quasiperiodic behaviors of dust ion acoustic waves in superthermal plasmas with q-nonextensive electrons are studied using the bifurcation theory of planar dynamical…
Dynamic behavior of ion acoustic waves in electron-positron-ion magnetoplasmas with superthermal electrons and positrons
- Physics
- 2014
The dynamic behavior of ion acoustic waves in electron-positron-ion magnetoplasmas with superthermal electrons and positrons has been investigated in the framework of perturbed and non-perturbed…
Colloquium : nonlinear collective interactions in quantum plasmas with degenerate electron fluids
- Physics
- 2011
The current understanding of some important nonlinear collective processes in quantum plasmas with degenerate electrons is presented. After reviewing the basic properties of quantum plasmas, model…
Self-consistent fluid model for a quantum electron gas
- Physics
- 2001
It is shown that, for a large class of statistical mixtures, the Wigner-Poisson (or Hartree) system can be reduced to an effective Schroedinger-Poisson system, in which the Schroedinger equation…
A Collective Description of-Electron Interactions: III. Coulomb Interactions in a Degenerate Electron Gas
- Physics
- 1953
The behavior of the electrons in a dense electron gas is analyzed quantum-mechanically by a series of canonical transformations. The usual Hamiltonian corresponding to a system of individual…
Fluid Mechanics
- PhysicsNature
- 1980
Ludwig Krinner (Dated: November 5th 2012) Abstract This is a script made with the help of Landau Lifshitz, Book VI [1] on fluid mechanics, that gives a short introduction to basic fluid mechanics.…
Thomas-Fermi model: The second correction
- Physics
- 1981
A simple derivation is given for the first quantum correction to the Thomas-Fermi kinetic energy . Its application to the total binding energy of neutral atoms exploits the technique for handling…
Many-particle physics
- Physics
- 1981
1. Introductory Material.- 1.1. Harmonic Oscillators and Phonons.- 1.2. Second Quantization for Particles.- 1.3. Electron - Phonon Interactions.- A. Interaction Hamiltonian.- B. Localized Electron.-…