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Nonlinear Development of the Two-Stream Instability

The Physics of Fluids, 1968
The nonlinear development of the two-stream instability is investigated analytically and numerically using as a model two cold interpenetrating electron and ion streams. When periodic boundary conditions are chosen so that only one linearly unstable wave is excited, it is found that whether or not the instability levels off nonlinearly before ...
Freidberg, J. P., Armstrong, T. P.
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Instability of potential jet streams

JETP Letters, 2009
A Hamiltonian version has been formulated for the model of a potential jet stream of a homogeneous incompressible fluid with a free boundary. In the framework of this model, instability regimes have been analyzed. It has been shown that self-similar solutions with a compact support can be dominant structures. Analysis of the instability mechanism shows
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Electrostatic Electron-Ion Streaming Instability

The Physics of Fluids, 1970
When electrons drift relative to ions across a magnetic field, the field-free instabilities can still persist. However, new possibilities for collective instabilities occur. In particular, an electrostatic instability with growth rate γ ∼ (me/mi)1/4Ωe can develop when ωpe ≫ Ωe, Te > Ti, and the electron drift velocity is less than the electron ...
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Streaming instabilities in cold plasmas

2016
Abstract This chapter provides detailed analyses of streaming instabilities in cold, collisionless plasmas. It highlights one-d electrostatic (ES) instabilities, which are most prominent due to having the largest growth rates. Their large growth rates justify (in most cases) the neglect of collisions (and sometimes even thermal effects ...
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The Quantum Two-Stream Instability

2011
The quantum equivalent of the Dawson multistream model is constructed in terms of the fluid variables representation of the Schrodinger–Poisson system. This Madelung-type hydrodynamic formulation is a first step toward a quantum hydrodynamic model for plasmas.
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