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Title Collisionless parallel shock waves
Creator/Author Galeev, A.A. ; Galinskii, V.L. ; Khabibrakhmanov, I.Kh.
Publication Date1993 Jan 01
OSTI IdentifierOSTI ID: 105307
Other Number(s)PPHREM; ISSN 1063-780X
Resource TypeJournal Article
Resource RelationPlasma Physics Reports ; VOL. 19 ; ISSUE: 1 ; PBD: Jan-Dec 1993; TN: Translated from Fiz. Plazmy.; 19, 3-13(Jan 1993)
Subject70 PLASMA PHYSICS AND FUSION ; SHOCK WAVES; WAVE PROPAGATION; PLASMA WAVES; COLLISIONLESS PLASMA; MAGNETOHYDRODYNAMICS; MAGNETIC FIELDS; BOLTZMANN-VLASOV EQUATION; ALFVEN WAVES; SOLITONS; MAGNETIC MIRRORS
Description/Abstract A model of a collisionless parallel (propagating in the direction of the unperturbed magnetic field) shock wave is presented, based on the soliton solutions of the modified vector nonlinear Schroedinger equation with a derivative describing the propagation of Alfven waves. This equation is generalized to the case of particle distribution functions with arbitrary anisotropy, and includes a new term describing the dispersion occurring in scalar wave equations (e.g., the Korteweg-de Vries equation). This correction produces negative dispersion in the long-wavelength parallel MHD oscillations, which results in the appearance of new time-independent solutions in the form of compression solitons for the absolute value of the magnetic-field perturbations. The time-independent soliton solutions can be converted into shock-wave structures if irreversible processes are taken into account, such as particle reflection from the magnetic mirror created by the soliton or in the longitudinal electric field responsible for plasma quasineutrality in the force field of the thermal pressure, the effective dissipation of nonlinear wave motions due to plasma instability in the field of these oscillations, etc. Thus, the proposed model is found to be similar in terms of its origin to the widely accepted model of a quasiperpendicular shock wave, and is amenable to the same analytical techniques. 20 refs., 3 figs.
Country of PublicationUnited States
LanguageEnglish
Formatpp. 1-6 ; PL:
System Entry Date2001 May 03

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