Shock waves in a transverse magnetic field

Velikovich, A. L.; Liberman, M. A.

doi:10.1070/pu1979v022n11abeh005642

Cited by 9 publications

(3 citation statements)

References 7 publications

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“…The non linear evolution eq. (6) governs the propagation of both the fast and slow mode. It is known [lo] that the slow wave has a negative dispersion for all values of 6' and the fast wave has a positive dispersion between 0 and some critical angle, 8,.…”

Section: Deviation Of K-p Burger Equationmentioning

confidence: 99%

Magnetosonic shock waves propagating obliquely in a warm collisional plasma

et al. 1991

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Two dimensional shock structures of fast and slow magnetosonic waves, propagating in a dissipative warm magnetized plasma with a flow velocity are studied. The nonlinear evolution equation derived for such plasma, where dissipation is provided by electron ion collisions, is found to be a combination of Kadomtsev Petviashvili and Burger equation. Numerical solutions of this equation are obtained by transforming it to a moving frame of reference. These solutions, with appropriate boundary conditions show the development of shock structures both for fast and slow modes. Dependence of shock strength on plasma beta, angle of inclination of the magnetic field with the direction of flow velocity are shown. The most interesting feature is that, while for slow wave the shock strength persists for all angles of propagation but for the fast wave the shock strength vanishes below a certain critical Mach number and above a certain angle between the propagation vector and flow velocity.

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Section: Deviation Of K-p Burger Equationmentioning

confidence: 99%

Magnetosonic shock waves propagating obliquely in a warm collisional plasma

et al. 1991

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“…The use of transformation groups is treated in detail by Bluman (1974), Burgan et al (1978a, 6), Bluman & Kumei (1980), Moraux, Fijalkov & Feix (1981), Velikovich & Liberman (1985), Fuchs & Richter (1987), Feix, Bouquet & Lewis (1987 and Cerrato, Gutierrez & Ramos (1989).…”

Section: Introductionmentioning

confidence: 99%

An inhomogeneous plasma equilibrium: asymptotic self-similar solutions

1992

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A perfectly conducting hot plasma in thermodynamic equilibrium is studied without taking account of the effects of collisions and viscosity. The medium is inhomogeneous, unbounded, axisymmetric and subject to a magnetic field B0 parallel to the axis of symmetry of the cylinder. Plasma equilibrium is investigated using a magnetohydrodynamic model, and the system of equations is closed with an equation of state corresponding to the adiabatic law for an ideal gas. Transformation groups are applied to generate asymptotic selfsimilar solutions for the density, pressure and magnetic field magnitudes on the equilibrium, and thus to obtain the spatial dependence of the invariant solutions since the temporal variable is eliminated. From consideration of the nature of these solutions, necessary conditions for equilibria in finite inhomogeneous media are obtained. Results are given for inhomogeneous media with finite conductivity. The degrees of inhomogeneity for pressure and density and their relations with dimensionless constants, arising from the group parameters, provide information on certain drastic changes in equilibrium temperature profiles.

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“…Consider self-similar compression [18,19], where the radial velocity due to compression is given by v (C) r (r, t) = rṘ(t)/R(t). This ensures that for a fluid element, r ≡ r(t)/R(t) is constant in time.…”

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confidence: 99%

Favorable Collisional Demixing of Ash and Fuel in Magnetized Inertial Fusion

Ochs

Fisch

2018

Phys. Rev. Lett.

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Magnetized inertial fusion experiments are approaching regimes where the radial transport is dominated by collisions between magnetized ions, providing an opportunity to exploit effects usually associated with steady-state magnetic fusion. In particular, the low-density hotspot characteristic of magnetized liner inertial fusion results in diamagnetic and thermal frictions which can demix thermalized ash from fuel, accelerating the fusion reaction. For reactor regimes in which there is substantial burnup of the fuel, increases in the fusion energy yield on the order of 5% are possible. PACS numbers:

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Shock waves in a transverse magnetic field

Cited by 9 publications

References 7 publications

Magnetosonic shock waves propagating obliquely in a warm collisional plasma

Magnetosonic shock waves propagating obliquely in a warm collisional plasma

An inhomogeneous plasma equilibrium: asymptotic self-similar solutions

Favorable Collisional Demixing of Ash and Fuel in Magnetized Inertial Fusion

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