Amplitude equations for electrostatic waves: Multiple species

DOI10.1063/1.532635zbMath0946.76102arXivpatt-sol/9706001OpenAlexW3100971258MaRDI QIDQ4701663

John David Crawford, Anandhan Jayaraman

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/patt-sol/9706001

zbMATH Keywords

amplitude equationelectric field scalingexpansion in mode amplitudelimit of weak instabilityunstable electrostatic wave

Mathematics Subject Classification ID

Statistical mechanics of plasmas (82D10) Waves and radiation in optics and electromagnetic theory (78A40) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Cites Work

• Application of the method of spectral deformation to the Vlasov-Poisson system
• Amplitude expansions for instabilities in populations of globally-coupled oscillators
• Application of spectral deformation to the Vlasov–Poisson system. II. Mathematical results
• Single-mode saturation of a linearly unstable plasma
• Limit cycle behavior of the bump-on-tail instability
• Plasma oscillations
• Dynamics of vorticity defects in shear
• Eigenvalues, and instabilities of solitary waves
• Oscillatory instability of solitary waves in a continuum model of lattice vibrations
• Kinetic Theory for Bubbly Flow I: Collisionless case

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