Stability properties of the steady state solutions of a non-neutral plasma diode when there is a uniform magnetic field along transverse direction

2017 ◽  
Vol 24 (2) ◽  
pp. 023107 ◽  
Author(s):  
V. I. Kuznetsov ◽  
Sourav Pramanik ◽  
A. B. Gerasimenko ◽  
Nikhil Chakrabarti
Keyword(s):  
Magnetic Field ◽  
Steady State ◽  
Uniform Magnetic Field ◽  
Transverse Direction ◽  
Stability Properties ◽  
Plasma Diode ◽  
Neutral Plasma ◽  
Steady State Solutions

scholarly journals Deformation of a magnetic liquid drop in an applied non-stationary uniform magnetic field

2018 ◽  
Vol 185 ◽  
pp. 09006
Author(s):  
Alexander Tyatyushkin
Keyword(s):  
Magnetic Field ◽  
Reynolds Number ◽  
Steady State ◽  
Uniform Magnetic Field ◽  
Liquid Drop ◽  
Magnetic Liquid ◽  
Stationary Approximation ◽  
The Magnetic Field

Small steady-state deformational oscillations of a drop of magnetic liquid in a nonstationary uniform magnetic field are theoretically investigated. The drop is suspended in another magnetic liquid immiscible with the former. The Reynolds number is so small that the inertia can be neglected. The variation of the magnetic field is so slow that the quasi-stationary approximation for the magnetic field and the quasi-steady approximation for the flow may be used.

scholarly journals Rotating and propagating LIB stabilized by self-induced magnetic field

1984 ◽  
Vol 2 (1) ◽  
pp. 1-12 ◽  
Author(s):  
Hiroyuki Murakami ◽  
Takayuki Aoki ◽  
Shigeo Kawata ◽  
Keishiro Niu
Keyword(s):  
Magnetic Field ◽  
Steady State ◽  
Field Intensity ◽  
Magnetic Field Intensity ◽  
Ion Beam ◽  
Axial Direction ◽  
Induced Magnetic Field ◽  
Tearing Instability ◽  
The Mean ◽  
Steady State Solutions

Rotating motion of a propagating LIB is analyzed in order to suppress the mixed mode of the Kelvin-Helmholtz instability, the tearing instability and the sausage instability by the action of a self-induced magnetic field in the axial direction. The beams are assumed to be charge-neutralized but not current-neutralized. The steady-state solutions of a propagating LIB with rotation are first obtained numerically. Through the dispersion relation with respect to the ikonal type of perturbations, which are added to the steady-state solutions, the growth rates of instabilities appearing in an LIB are obtained. It is concluded that if the mean rotating velocity of an LIB is comparable to the propagation velocity, in other words, if the induced magnetic field intensity in the axial direction is comparable to the magnetic field intensity in the azimuthal direction, the instability disappears in the propagating ion beam.

Non-neutral plasma diode in the presence of a transverse magnetic field

2016 ◽  
Vol 23 (6) ◽  
pp. 062118 ◽  
Author(s):  
Sourav Pramanik ◽  
V. I. Kuznetsov ◽  
A. B. Gerasimenko ◽  
Nikhil Chakrabarti
Keyword(s):  
Magnetic Field ◽  
Transverse Magnetic Field ◽  
Transverse Magnetic ◽  
Plasma Diode ◽  
Neutral Plasma

Effects of External Magnetic Field on Intensity of Plasma Flow

2014 ◽  
Vol 597 ◽  
pp. 272-275
Author(s):  
Ching Yen Ho ◽  
Yu Hsiang Tsai ◽  
Chung Ma
Keyword(s):  
Magnetic Field ◽  
Steady State ◽  
External Magnetic Field ◽  
Plasma Flow ◽  
Intensity Distribution ◽  
Transverse Direction ◽  
Radial Direction ◽  
Intensity Profile ◽  
Intensity Enhancement

This paper investigates the intensity distribution along the radial direction for plasma flow subject to external magnetic Field. The toroidal external magnetism is applied in the transverse direction of plasma flow. Considering the steady-state continuity and momentum of the plasma flow subject to external magnetic field, the intensity profile of the plasma is obtained. The results quantitatively verify the intensity enhancement of the plasma with the increasing external magnetic field.

Steady-state solutions for the penetration of a rotating magnetic field into a plasma column

1981 ◽  
Vol 26 (3) ◽  
pp. 441-453 ◽  
Author(s):  
Ieuan R. Jones ◽  
Waheed N. Hugrass
Keyword(s):  
Magnetic Field ◽  
Steady State ◽  
Plasma Column ◽  
Skin Effect ◽  
Rotation Frequency ◽  
Rotating Magnetic Field ◽  
Electron Current ◽  
Plasma Cylinder ◽  
Resistive Plasma ◽  
Steady State Solutions

The penetration of an externally applied rotating magnetic field into a plasma cylinder is examined. Steady-state solutions of an appropriate set of magneto-fluid equations show that, provided the amplitude and rotation frequency of the field are suitably chosen, the penetration is not limited by the usual classical skin effect. The enhanced penetration of the rotating field is accompanied by the generation of a unidirectional azimuthal electron current which is totally absent in a purely resistive plasma cylinder.

Stability of a plasma stream in a magnetic field

1971 ◽  
Vol 6 (1) ◽  
pp. 169-186
Author(s):  
A. Lamont ◽  
J. C. Taylor ◽  
E. W. Laing
Keyword(s):  
Magnetic Field ◽  
Differential Equation ◽  
Uniform Magnetic Field ◽  
Transverse Direction ◽  
Equilibrium Distribution ◽  
Larmor Radius ◽  
Equilibrium Distribution Function ◽  
Plasma Stream ◽  
Vlasov Equations ◽  
The Fourier Transform

The system studied is a plasma streaming parallel to a uniform magnetic field with a velocity which varies in a transverse direction. The flow is bounded at y =± a by perfectly conducting planes.The Poisson-Vlasov equations are used to derive an integro-differential equation for ø the Fourier transform of the electrostatic potential. The kernel of this equation is expanded using a small Larmor radius expansion for ø and for the equilibrium distribution function f0.

The expulsion of magnetic flux by eddies

1966 ◽  
Vol 293 (1434) ◽  
pp. 310-328 ◽  
Keyword(s):  
Magnetic Field ◽  
Steady State ◽  
Magnetic Flux ◽  
Characteristic Time ◽  
Numerical Experiments ◽  
Uniform Magnetic Field ◽  
Conducting Fluid ◽  
Central Field ◽  
The Sun ◽  
Lines Of Force

A convective eddy imposed on an initially uniform magnetic field in a highly conducting fluid distorts the lines of force and amplifies the field. Flux is concentrated outside the eddy; within it, the field grows and its scale of variation decreases until resistive effects become important. Closed lines of force are then formed by reconnexion. The central field decays and a steady state is reached. Within a period, small compared with the characteristic time for resistive decay, magnetic flux is almost entirely expelled from regions of rapid motion and concentrated at the edges of convection cells. This process is demonstrated from numerical experiments. The results are applied to the sun, where the concentrated fields are strong enough to inhibit convection locally.

Radial Compression of a Non-neutral Plasma in a Non-uniform Magnetic Field of a Cusp Trap

2009 ◽  
Author(s):  
H. Saitoh ◽  
A. Mohri ◽  
Y. Enomoto ◽  
Y. Kanai ◽  
Y. Yamazaki ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Uniform Magnetic Field ◽  
Radial Compression ◽  
Neutral Plasma
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