Physics
Scientific paper
Feb 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993jgr....98.1293k&link_type=abstract
Journal of Geophysical Research (ISSN 0148-0227), vol. 98, no. A2, p. 1293-1301.
Physics
4
Collisionless Plasmas, Korteweg-Devries Equation, Magnetohydrodynamic Waves, Schroedinger Equation, Shock Fronts, Thermal Shock, Heat Flux, Nonlinear Equations, Stochastic Processes
Scientific paper
Consideration is given to a collisionless parallel shock based on solitary-type solutions of the modified derivative nonlinear Schroedinger equation (MDNLS) for parallel Alfven waves. The standard derivative nonlinear Schroedinger equation is generalized in order to include the possible anisotropy of the plasma distribution and higher-order Korteweg-de Vies-type dispersion. Stationary solutions of MDNLS are discussed. The anisotropic nature of 'adiabatic' reflections leads to the asymmetric particle distribution in the upstream as well as in the downstream regions of the shock. As a result, nonzero heat flux appears near the front of the shock. It is shown that this causes the stochastic behavior of the nonlinear waves, which can significantly contribute to the shock thermalization.
Galeev A. A.
Galinskii V. L.
Khabibrakhmanov Ildar K.
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