The Fluid Dynamical Equations for the Collisionless Plasma in the Presence of a Strong Magnetic Field

1970 ◽  
Vol 29 (1) ◽  
pp. 199-204 ◽  
Author(s):  
Ken-ichi Kusukawa ◽  
Yoshio Kobayashi ◽  
Tsuguo Takahashi
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Collisionless Plasma ◽  
Dynamical Equations

Energy budget of stable magnetohydrodynamic waves in a homogeneous heat-conducting collisionless plasma in a strong magnetic field

1990 ◽  
Vol 43 (3) ◽  
pp. 475-481
Author(s):  
Alejandro de la Torre
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Collisionless Plasma ◽  
Solar Wind Plasma ◽  
Heat Conducting ◽  
External Current ◽  
Plasma Parameters ◽  
Magnetohydrodynamic Waves ◽  
Individual Contributions ◽  
The Individual

The energy transfer between a homogeneous heat-conducting collisionless plasma in a strong magnetic field and a harmonic external current immersed in it is studied in connection with the generation of stable magnetohydrodynamic waves in slow streams in the solar-wind plasma. The net balance of energy, given by the sum of the individual contributions that result from the interchange between each mode of oscillation and the stream, is established as function of the amplitude, frequency and growing rate of the external current and the plasma parameters.

General-relativistic hydrodynamics of a collisionless plasma in a strong magnetic field

1992 ◽  
Vol 46 (2) ◽  
pp. 1078-1083 ◽  
Author(s):  
E. G. Tsikarishvili ◽  
J. G. Lominadze ◽  
A. D. Rogava ◽  
J. I. Javakhishvili
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Collisionless Plasma ◽  
Relativistic Hydrodynamics ◽  
General Relativistic

Derivation of CGL theory with finite Larmor radius corrections

1980 ◽  
Vol 23 (2) ◽  
pp. 205-208 ◽  
Author(s):  
R. K. Chhajlani ◽  
S. C. Bhand
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Collisionless Plasma ◽  
Larmor Frequency ◽  
Higher Order ◽  
Larmor Radius ◽  
Pressure Tensor ◽  
Zeroth Order ◽  
Tensor Equation ◽  
Finite Larmor Radius

A method has been developed for the derivation of Chew–Goldberger–Low (CGL) theory for a collisionless plasma in the presence of a strong magnetic field. The pressure tensor in the pressure tensor equation is expanded in the inverse power of Larmor frequency. In the zeroth order, CGL equations are obtained and, the higher order, finite Larmor radius corrections to CGL equations are derived.

Evolutionary conditions for shock waves in collisionless plasma and stability of the associated flow

1968 ◽  
Vol 2 (3) ◽  
pp. 449-463 ◽  
Author(s):  
Shigeki Morioka ◽  
John R. Spreiter
Keyword(s):  
Magnetic Field ◽  
Shock Wave ◽  
Heat Flux ◽  
Mach Number ◽  
Shock Waves ◽  
Strong Magnetic Field ◽  
Collisionless Plasma ◽  
Shock Stability ◽  
The Magnetic Field ◽  
Evolutionary Condition

The evolutionary condition for transverse and normal shock waves, and the fire- hose and mirror instability conditions for the associated flow, in a collisionless, anisotropic plasma having a strong magnetic field are determined using the theoretical representation of Chew, Goldberger & Low (1956) for such a medium. The results are expressed in terms of the Mach number, Alfvén Mach number, and the ratio of the temperatures parallel and perpendicular to the magnetic field in the flow approaching the shock wave, and applied to ascertain in what range of these parameters various types of instabilities may occur. The effect of the heat flux, which does not vanish generally in a collisionless plasma, on the shock stability is discussed.

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