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Instabilities and nonlinear processes in geophysics and astrophysics
Author(s) -
Hasegawa Akira
Publication year - 1974
Publication title -
reviews of geophysics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 8.087
H-Index - 156
eISSN - 1944-9208
pISSN - 8755-1209
DOI - 10.1029/rg012i002p00273
Subject(s) - modulational instability , instability , physics , nonlinear system , landau damping , quantum electrodynamics , plasma , two stream instability , parametric statistics , electrical resistivity and conductivity , geophysics , turbulence , classical mechanics , mechanics , statistical physics , quantum mechanics , mathematics , statistics
A review of some nonlinear effects related to plasma instabilities is presented. Discussions are included on (1) quasilinear diffusion, in which a comparison between the effects of electromagnetic and electrostatic turbulence is given; (2) anomalous resistivity, in which a general derivation of the anomalous resistivity is presented and compared with some concrete examples; (3) wave‐wave and wave‐particle interactions, in which a general theory of parametric instabilities and quenching is presented together with the effects of the nonlinear Landau damping on stabilization of linear instabilities; and (4) modulational instability, in which a general derivation of the instability conditions and the consequence of the instability are discussed.