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Degenerate continuous spectra producing localized secular instability – an example in a non-neutral plasma
Ist Teil von
Journal of plasma physics, 2003-10, Vol.69 (5), p.397-412
Ort / Verlag
Cambridge, UK: Cambridge University Press
Erscheinungsjahr
2003
Link zum Volltext
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
Fluctuations in ambient shear flow exhibit interesting transient phenomena. Shear flow produces not only Kelvin–Helmholtz modes (global exponential instabilities represented by point spectra) but also local algebraic instabilities associated with multiple continuous spectra. Since the generating operator is non-Hermitian, the orthogonality of eigenmodes is broken, and unresolvable mode couplings (resonances) bring about secular behavior (algebraic instability). We analyze electrostatic fluctuations in a magnetized non-neutral (single species) plasma where the electrostatic potential parallels the stream function. This secular behavior is reproduced by solving the initial value problem with a renormalization method.