Affiliation:
1. Physikalisches Institut Universität Bayreuth D‐95440 Bayreuth Germany
2. Saha Institute of Nuclear Physics 1/AF Bidhannagar Calcutta 700 064 India
Abstract
AbstractA fundamental study describing nonlinear plasma wave propagation is presented. Elementary linear wave theory describes small‐amplitude random waves, but lacks information about coherent structures. This improved wave model arises from the fact that structure formation is inevitably associated with particle trapping, which can only be properly addressed by the pseudo‐potential method instead of Bernstein, Greene, and Kruskal (BGK) ‐ likemethods. Only by using this method can legitimate nonlinear dispersion relations be obtained and reconciled with trapping scenarios. This privilege is used to derive evolution equations for five structures, the derivation being simplified by the acoustic nature of the permitted modes. The focus is on a special structure, the solitary electron hole of negative polarity, with which it can explain a spacecraft observation for the first time. Furthermore, it is shown that an intrinsically nonlinear structure can become macroscopically linear and thus harmonic by suitably adjusting the trapping scenario. An example is the monochromatic ion acoustic wave that propagates at ion sound velocity without dispersion. In this literature research, it also takes a critical look at a recently awarded work.
Subject
General Physics and Astronomy
Reference49 articles.
1. This article is an abridged version of the review article [2]enriched by an application and two further sections. It is intended for readers with a basic knowledge of the pseudo‐potential method who wish to become familiar with the modern theory of pattern formation in collisionless plasmas. It focuses on the derivation of evolutionary equations but also serves to guide through the wide variety of electrostatic structures and the proper treatment of phase velocities.
2. Pattern formation in Vlasov–Poisson plasmas beyond Landau caused by the continuous spectra of electron and ion hole equilibria
3. Negative Potential Solitary Structures in the Magnetosheath With Large Parallel Width
4. Exact Nonlinear Plasma Oscillations
5. The preceding first part consists of giving an exact solution of the two Vlasov equations for both species in the form of a Schamel distribution and calculating the densities from this in order to finally obtain the expressions used for the pseudo‐potential and the nonlinear dispersion relation.
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