Journal ArticleDOI
Dissipation discontinuities in hydromagnetic shock waves
TLDR
In this article, the effects of resistive, viscous, and thermal conduction dissipation on the structure of shock waves were studied within the hydromagnetic approximation, and a perturbation analysis about the upstream and downstream stationary points was developed, which, when coupled with the shock evolutionary conditions, determined the conditions for the formation of discontinuities in the shock structure.Abstract:
Within the hydromagnetic approximation, the effects of resistive, viscous, and thermal conduction dissipation on the structure of shock waves is studied. A Perturbation analysis about the upstream and downstream stationary points is developed, which, when coupled with the shock evolutionary conditions, determines the conditions for the formation of discontinuities in the shock structure. The Viscous subshock for fast shock waves and the hydromagnetic analogue of the gas dynamic isothermal discontinuity for fast and slow shocks are analyzed. Very oblique fast shocks require both resistive and viscous dissipation for a steady shock structure. Strong slow shocks propagationg nearly along the magnetic field fail to steepen if only resistive dissipation is included. The rotational discontinuity does not possess a stable shock structure for any of the dissipation processes considered.read more
Citations
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Journal ArticleDOI
Nonlinear theory of diffusive acceleration of particles by shock waves
Mikhail Malkov,L. O'c. Drury +1 more
TL;DR: In this article, a review of the current theoretical understanding of this process, from the basic ideas of how a shock energizes a few reactionless particles to the advanced nonlinear approaches treating the shock and accelerated particles as a symbiotic self-organizing system, is presented.
Book ChapterDOI
A quarter century of collisionless shock research
TL;DR: In this paper, a review highlights conceptual issues that have both governed and reflected the direction of collisionless shock research in the past quarter century, including MHD waves and their steepening, the MHD Rankine-Hugoniot relations, the supercritical shock transition, nonlinear oscillatory wave trains, ion sound anomalous resistivity and the resistive-dispersive transition for subcritical shocks, ion reflection and the structure of supercritical quasi-perpendicular shocks, the earth's foreshock, quasi-parallel shocks, and finally, shock acceleration processes.
Journal ArticleDOI
Theory and simulation of collisionless parallel shocks
TL;DR: In this paper, a self-consistent theoretical model for collisionless parallel shock structure, based on the hypothesis that shock dissipation and heating can be provided by electromagnetic ion beam-driven instabilities, is presented.
Journal ArticleDOI
A parametric survey of the first critical Mach number for a fast MHD shock
J. P. Edmiston,Charles F. Kennel +1 more
TL;DR: In this article, the first critical fast Mach number is defined to be the one at which the downstream flow speed in the shock frame equals the ordinary downstream sound speed, i.e., it is the moment when the superthermal and energetic ions upstream at quasi-parallel shocks might increase suddenly at the critical Mach number.
Journal ArticleDOI
Nonstationarity of strong collisionless quasiperpendicular shocks: Theory and full particle numerical simulations
TL;DR: In this paper, it was shown that the nonlinear whistler critical Mach number corresponds to the transition between stationary and non-stationary dynamical behavior of the shock wave and that the transition to the nonstationarity of the wave front structure is always accompanied by the disappearance of the whistler wave train within the shock front.
References
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Book
Electrodynamics of continuous media
TL;DR: In this article, the propagation of electromagnetic waves and X-ray diffraction of X rays in crystals are discussed. But they do not consider the effects of superconductivity on superconducting conductors.
Journal ArticleDOI
The structure of magneto-hydrodynamic shock waves
TL;DR: In this paper, the detailed structure of magneto-hydrodynamic shocks is derived and their solutions discussed in the special cases of high or low electrical conductivity, for high conductivity the shock front has a width of several free paths.