Rarefaction shock waves in collisionless plasma with an electron beam

This paper is concerned with existence conditions for steady hydromagnetic shock waves propagating in a collisionless plasma along an applied magnetic field. The electrostatic waves are excluded. The conditions are based on the requirement that solutions of the Vlasov-Maxwell equations deviate from a uniform state ahead of a wave. They are given as the conditions on the upstream flow velocity in the wave frame (i.e. in the form of inequalities among the upstream flow velocity and some critical velocities). The conditions crucially depend on the pressure anisotropy, and demonstrate possibilities of exacting collisionless shock waves for high β plasmas.

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Near-Steady Oblique Shock Waves in a Collisionless Plasma

The Physics of Fluids ◽

10.1063/1.1694032 ◽

1972 ◽

Vol 15 (6) ◽

pp. 1070 ◽

Cited By ~ 1

Author(s):

Lynn M. Olson

Keyword(s):

Shock Waves ◽

Collisionless Plasma ◽

Oblique Shock

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Dust acoustic shock waves in dusty plasma of opposite polarity with non-extensive electron and ion distributions

Journal of Plasma Physics ◽

10.1017/s0022377814000063 ◽

2014 ◽

Vol 80 (3) ◽

pp. 517-528 ◽

Cited By ~ 10

Author(s):

S. K. Zaghbeer ◽

H. H. Salah ◽

N. H. Sheta ◽

E. K. El-Shewy ◽

A. Elgarayhi

Keyword(s):

Shock Waves ◽

Dusty Plasma ◽

Collisionless Plasma ◽

Homogeneous System ◽

Opposite Polarity ◽

Reductive Perturbation Method ◽

Ion Distributions ◽

Electrons And Ions ◽

Dust Acoustic ◽

Space Environments

A theoretical investigation has been made of obliquely propagating nonlinear electrostatic shock structures. The reductive perturbation method has been used to derive the Korteweg-de Vries-Burger (KdV-Burger) equation for dust acoustic shock waves in a homogeneous system of a magnetized collisionless plasma comprising a four-component dusty plasma with massive, micron-sized, positively, negatively dust grains and non-extensive electrons and ions. The effect of dust viscosity coefficients of charged dusty plasma of opposite polarity and the non-extensive parameters of electrons and ions have been studied. The behavior of the oscillatory and monotonic shock waves in dusty plasma has been investigated. It has been found that the presence of non-extensive parameters significantly modified the basic properties of shock structures in space environments.

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Negative shock waves

Journal of Fluid Mechanics ◽

10.1017/s002211207300011x ◽

1973 ◽

Vol 60 (1) ◽

pp. 187-208 ◽

Cited By ~ 141

Author(s):

P. A. Thompson ◽

K. C. Lambrakis

Keyword(s):

Shock Waves ◽

Continuum Model ◽

Single Phase ◽

Thermodynamic Quantity ◽

Stability Conditions ◽

Formation And Evolution ◽

Molecular Complexity ◽

Rarefaction Shock ◽

Dynamic Formation ◽

Negative Shock

Negative or rarefaction shock waves may exist in single-phase fluids under certain conditions. It is necessary that a particular fluid thermodynamic quantity Γ ≡ −½δ In (δP/δν)s/δ In ν be negative: this condition appears to be met for sufficiently large specific heat, corresponding to a sufficient level of molecular complexity. The dynamic formation and evolution of a negative shock is treated, as well as its properties. Such shocks satisfy stability conditions and have a positive, though small, entropy jump. The viscous shock structure is found from an approximate continuum model. Possible experimental difficulties in the laboratory production of negative shocks are briefly discussed.

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The admissibility domain of rarefaction shock waves in the near-critical vapour–liquid equilibrium region of pure typical fluids

Journal of Fluid Mechanics ◽

10.1017/jfm.2016.197 ◽

2016 ◽

Vol 795 ◽

pp. 241-261 ◽

Cited By ~ 8

Author(s):

Nawin R. Nannan ◽

Corrado Sirianni ◽

Tiemo Mathijssen ◽

Alberto Guardone ◽

Piero Colonna

Keyword(s):

Shock Waves ◽

Critical Point ◽

Compressible Flows ◽

Three Dimensional ◽

Fundamental Equation ◽

Phase Region ◽

Liquid Equilibrium ◽

Two Phase ◽

Rarefaction Shock ◽

Equilibrium Region

Application of the scaled fundamental equation of state of Balfour et al. (Phys. Lett. A, vol. 65, 1978, pp. 223–225) based upon universal critical exponents, demonstrates that there exists a bounded thermodynamic domain, located within the vapour–liquid equilibrium region and close to the critical point, featuring so-called negative nonlinearity. As a consequence, rarefaction shock waves with phase transition are physically admissible in a limited two-phase region in the close proximity of the liquid–vapour critical point. The boundaries of the admissibility region of rarefaction shock waves are identified from first-principle conservation laws governing compressible flows, complemented with the scaled fundamental equations. The exemplary substances considered here are methane, ethylene and carbon dioxide. Nonetheless, the results are arguably valid in the near-critical state of any common fluid, namely any fluid whose molecular interactions are governed by short-range forces conforming to three-dimensional Ising-like systems, including, e.g. water. Computed results yield experimentally feasible admissible rarefaction shock waves generating a drop in pressure from 1 to 6 bar and pre-shock Mach numbers exceeding 1.5.

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Interaction between two shock waves in a collisionless plasma: Description of the behavior of the heliospheric termination shock

Journal of Geophysical Research Atmospheres ◽

10.1029/95ja00477 ◽

1995 ◽

Vol 100 (A9) ◽

pp. 17035

Author(s):

J. Ziemkiewicz

Keyword(s):

Shock Waves ◽

Collisionless Plasma ◽

Termination Shock

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Inverse Energy Cascade of Fast Magnetosonic Turbulence in the Heliosheath

10.5194/egusphere-egu2020-12219 ◽

2020 ◽

Author(s):

Bertalan Zieger

Keyword(s):

Solar Wind ◽

High Resolution ◽

Shock Waves ◽

High Frequency ◽

Collisionless Plasma ◽

Energy Cascade ◽

Fast Mode ◽

Turbulence Spectrum ◽

Inverse Energy Cascade ◽

Voyager 2

The solar wind in the heliosheath beyond the termination shock (TS) is a non-equilibrium collisionless plasma consisting of thermal solar wind ions, suprathermal pickup ions (PUI) and electrons. In such multi-ion plasma, two fast magnetosonic wave modes exist: the low-frequency fast mode that propagates in the thermal ion component and the high-frequency fast mode that propagates in the suprathermal PUI component [Zieger et al., 2015]. Both fast modes are dispersive on fluid and ion scales, which results in nonlinear dispersive shock waves. In this talk, we briefly review the theory of dispersive shock waves in multi-ion collisionless plasma. We present high-resolution three-fluid simulations of the TS and the heliosheath up to 2.2 AU downstream of the TS. We show that downstream propagating nonlinear magnetosonic waves grow until they steepen into shocklets (thin current sheets), overturn, and start to propagate backward in the frame of the downstream propagating wave, as predicted by theory [McKenzie et al., 1993; Dubinin et al., 2006]. The counter-propagating nonlinear waves result in fast magnetosonic turbulence far downstream of the shock. Since the high-frequency fast mode is positive dispersive on fluid scale, energy is transferred from small scales to large scales (inverse energy cascade). Thermal solar wind ions are preferentially heated by the turbulence. Forward and reverse shocklets in the heliosheath can efficiently accelerate both ions and electrons to high energies through the shock drift acceleration mechanism. We validate our three-fluid simulations with in-situ high-resolution Voyager 2 magnetic field and plasma observations at the TS and in the heliosheath. Our simulations reproduce the magnetic turbulence spectrum with a spectral slope of -5/3 observed by Voyager 2 in frequency domain [Fraternale et al., 2019]. However, since Taylor&#8217;s hypothesis is not true for fast magnetosonic perturbations in the heliosheath, the inertial range of the turbulence spectrum is not a Kolmogorov spectrum in wave number domain.&#160;

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