Stability and instability of small BGK waves
Dongfen Bian, Emmanuel Grenier, Wenrui Huang, Benoit Pausader
TL;DR
This paper establishes that the linear stability of small BGK waves in plasma physics depends on the sign of the derivative of their energy distribution at zero energy, providing a criterion for stability analysis.
Contribution
It proves that the stability or instability of small BGK waves is determined solely by the sign of the energy distribution derivative at zero energy.
Findings
Stability is linked to the sign of the energy distribution derivative at zero.
Provides a criterion for predicting BGK wave stability.
Clarifies the role of energy distribution in wave stability.
Abstract
The aim of this article is to prove that the linear stability or instability of small Bernstein-Green-Kruskal (BGK) waves is determined by the sign of the derivative of their energy distributions at energy.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Ocean Waves and Remote Sensing · Nonlinear Waves and Solitons