1. Nonlinear Landau damping and modulation of electrostatic waves in a nonextensive electron-positron-pair plasma.
- Author
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Chatterjee, Debjani and Misra, A. P.
- Subjects
- *
LANDAU damping , *PLASMA electrostatic waves , *POSITRONIUM , *ELECTRON-positron plasmas , *NONLINEAR theories , *AMPLITUDE modulation - Abstract
The nonlinear theory of amplitude modulation of electrostatic wave envelopes in a collisionless electron-positron (EP) pair plasma is studied by using a set of Vlasov-Poisson equations in the context of Tsallis' q-nonextensive statistics. In particular, the previous linear theory of Langmuir oscillations in EP plasmas [Saberian and Esfandyari-Kalejahi, Phys. Rev. E 87, 053112 (2013)] is rectified and modified. Applying the multiple scale technique (MST), it is shown that the evolution of electrostatic wave envelopes is governed by a nonlinear Schrödinger (NLS) equation with a nonlocal nonlinear term ∝P∫|ϕ(ξ′,τ)|²dξ′ϕ/(ξ−ξ′) [where P denotes the Cauchy principal value, ϕ is the small-amplitude electrostatic (complex) potential, and ξ and τ are the stretched coordinates in MST], which appears due to the wave-particle resonance. It is found that a subregion 1/3
- Published
- 2015
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