Degenerate continuous spectra producing localized secular instability - An example in a non-neutral plasma

M. Hirota, T. Tatsuno, Z. Yoshida

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)397-412
Number of pages16
JournalJournal of Plasma Physics
Volume69
Issue number5
DOIs
Publication statusPublished - 2003 Oct 1
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics

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