Amplitude equations for coupled electrostatic waves in the limit of weak instability
نویسندگان
چکیده
منابع مشابه
Amplitude Equations for Electrostatic Waves: universal singular behavior in the limit of weak instability
An amplitude equation for an unstable mode in a collisionless plasma is derived from the dynamics on the unstable manifold of the equilibrium F0(v). The mode eigenvalue arises from a simple zero of the dielectric ǫk(z); as the linear growth rate γ vanishes, the eigenvalue merges with the continuous spectrum on the imaginary axis and disappears. The evolution of the mode amplitude ρ(t) is studie...
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The amplitude equation for an unstable electrostatic wave is analyzed using an expansion in the mode amplitude A(t). In the limit of weak instability, i.e. γ → 0+ where γ is the linear growth rate, the nonlinear coefficients are singular and their singularities predict the dependence of A(t) on γ. Generically the scaling |A(t)| = γ5/2r(γt) as γ → 0+ is required to cancel the coefficient singula...
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Coupled Amplitude-Streaming Flow Equations for Nearly Inviscid Faraday Waves in Small Aspect Ratio Containers
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ژورنال
عنوان ژورنال: Journal of Plasma Physics
سال: 1998
ISSN: 0022-3778,1469-7807
DOI: 10.1017/s0022377898006540