Stabilities of Periodic Waves in a Cold Collision-Free Plasma in a Magnetic Field

1968 ◽  
Vol 11 (11) ◽  
pp. 2406 ◽  
Author(s):  
Tyan Yeh
Keyword(s):  
Magnetic Field ◽  
Periodic Waves ◽  
Cold Collision ◽  
Free Plasma

A study of the propagation of a solitary wave along the magnetic field in a cold collision-free plasma

2020 ◽  
Vol 27 (4) ◽  
pp. 042102
Author(s):  
Gohar Abbas ◽  
J. E. Allen ◽  
M. Coppins ◽  
L. Simons ◽  
L. James
Keyword(s):  
Magnetic Field ◽  
Solitary Wave ◽  
Cold Collision ◽  
The Magnetic Field ◽  
Free Plasma

scholarly journals The structure of a hydromagnetic front in a cold collision-free plasma

1962 ◽  
Vol 12 (1) ◽  
pp. 81-87 ◽  
Author(s):  
P. G. Saffman
Keyword(s):  
Magnetic Field ◽  
Characteristic Frequency ◽  
Cold Plasma ◽  
Equations Of Motion ◽  
One Dimensional ◽  
Infinite Extent ◽  
Cold Collision ◽  
The Magnetic Field ◽  
Free Plasma ◽  
A Current

A one-dimensional steady solution of the equations of motion of a cold plasma in a magnetic field is obtained. The plasma is of semi-infinite extent, bounded by a plane interface which separates it from a vacuum or medium at rest. The particles approach from infinity, are reflected at the front, and return to infinity in the opposite direction. At infinity, the magnetic field is parallel and anti-parallel to the plasma streams, and is inclined at an angle to the normal to the interface. The front is a current sheet across which the lines of force are bent, with the component of the magnetic field in the plane of the front changing direction. The inertia of the electrons is neglected, and the characteristic frequency associated with the front is the ion gyro-frequency.

scholarly journals Propagation of a solitary wave along a magnetic field in a cold collision-free plasma

1961 ◽  
Vol 11 (1) ◽  
pp. 16-20 ◽  
Author(s):  
P. G. Saffman
Keyword(s):  
Magnetic Field ◽  
Geometric Mean ◽  
Equations Of Motion ◽  
Linear Equations ◽  
Order Of Magnitude ◽  
Hydromagnetic Waves ◽  
Cold Collision ◽  
The Magnetic Field ◽  
Free Plasma ◽  
Alfven Velocity

It is shown that solitary hydromagnetic waves can propagate parallel to a uniform magnetic field in a cold collision-free plasma. These waves are exact solutions of the non-linear equations of motion except for the quasi-neutral approximation. The velocity of propagation lies in a range of values somewhat larger than the Alfvén velocity, and is of the order of 25 times the Alfvén velocity for hydrogen, the precise value depending upon the strength of the wave. Simple expressions exist for the velocities of the ions and electrons and the magnetic field inside the wave. The lines of force are spirals about the direction of propagation. The waves are symmetrical about their middle. The order of magnitude of their width is the geometric mean of the gyro-radii of the ions and electrons when moving with the Alfvén velocity. The maximum value of the magnetic field can be somewhat larger than the value away from the wave.

Interaction processes in a weakly turbulent Vlasov plasma

1972 ◽  
Vol 7 (2) ◽  
pp. 217-234
Author(s):  
Dirk J. Olbers
Keyword(s):  
Magnetic Field ◽  
Coulomb Interaction ◽  
Vlasov Equation ◽  
Kinetic Equations ◽  
Perturbation Expansion ◽  
Zero Magnetic Field ◽  
Interaction Processes ◽  
Pure Coulomb ◽  
Free Plasma ◽  
Vlasov Plasma

In this paper we consider the interaction between waves and particles in a weakly turbulent, collision-free plasma for the case of pure Coulomb interaction and zero magnetic field. Starting with the Vlasov equation we suggest a solution by means of a perturbation expansion and a diagram technique, which classifies the various interaction processes and leads to the derivation of kinetic equations.

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