scholarly journals Linear Pinch Equilibrium of Non-Neutral Plasma Revisited: Phenomenological Consequences of a Numerical Accuracy Problem

2019 ◽  
Vol 6 (3) ◽  
pp. 217-222
Author(s):  
F. L. Braga ◽  
D. N. Soares
Keyword(s):  
Plasma Column ◽  
Skin Effect ◽  
Initial Conditions ◽  
Electron Mass ◽  
Numerical Accuracy ◽  
Rest Energy ◽  
Electronic Skin ◽  
Two Parameters ◽  
Cylindrical Plasma Column ◽  
Accuracy Problem

Weibel in 1959 under considerations of a collisionless non-neutral cylindrical plasma column studied a linear pinch confinement equilibrium. As reported here, due to non-linearity of the ordinary differential equations obtained for the electrostatic and magnetostatic fields is possible to demonstrate that the confining features previously obtained are extremely dependent on the initial conditions, and the arrangement of two parameters (β - the ratio between ion and electron mass; M/KT - ratio between relativistic rest energy associated with the pair electron-ion and thermal energy kT ) related to the plasma column characteristics. We investigated in this paper the plasma column behavior (confining or non-confining) under modifications of that set of parameters. We detected a set of parameters values that imposes a confining configuration with an electronic skin effect on the plasma column, not yet reported or discussed in the literature.<br /><br />

Anomalous skin effect for a plasma column in a magnetic field

1973 ◽  
Vol 10 (3) ◽  
pp. 349-358 ◽  
Author(s):  
R. G. Storer ◽  
C. Meaney
Keyword(s):  
Magnetic Field ◽  
Plasma Column ◽  
Electron Density Distribution ◽  
Skin Effect ◽  
Axial Magnetic Field ◽  
Complete Solution ◽  
Low Frequency ◽  
Anomalous Skin Effect ◽  
Plasma Radius ◽  
Cylindrical Plasma Column

The influence of a steady axial magnetic field on the anomalous penetration of low frequency electromagnetic fields into a cylindrical plasma column is investigated by considering a plasma with a Gaussian electron density distribution. For this model, a complete solution is obtained for Boltzmann's equation coupled to Maxwell's equations, and the fields calculated exactly. The results show dramatic changes of the internal fields for small changes of the applied magnetic field when the average Lamour radius of the electrons is of the order of the plasma radius.

Near-Field Pattern Images of a Cylindrical Plasma Column

2011 ◽  
Vol 39 (11) ◽  
pp. 2552-2553 ◽  
Author(s):  
Nataliya K. Sakhnenko ◽  
Nadiya P. Stogniy ◽  
Alexander G. Nerukh
Keyword(s):  
Plasma Column ◽  
Near Field ◽  
Field Pattern ◽  
Cylindrical Plasma ◽  
Cylindrical Plasma Column

Modern design of belt conveyors in the context of stability boundaries and chaos

1992 ◽  
Vol 338 (1651) ◽  
pp. 491-502 ◽  
Keyword(s):  
Initial Conditions ◽  
Nonlinear Resonance ◽  
Stability Boundaries ◽  
Belt Speed ◽  
Bearing Life ◽  
Amplitude Vibration ◽  
Large Amplitude Vibration ◽  
Belt Conveyors ◽  
The Stability ◽  
Two Parameters

Belt conveying of bulk materials has evolved to the point where the demands of the modern mine to increase capacity is limited by the ability of engineers to design dynamically stable conveyors. Belt speed and width are two parameters that may be varied in the design to provide the required material flow rate. For certain values of belt speed, width and tension, unstable transverse belt vibration has been observed. Large-amplitude vibration may be so severe that the life of the supporting idler bearings is reduced significantly due to dynamic loads. Monitoring idlers for bearing failure in modern conveyors with lengths up to 20 km is practically difficult since there may be as many as 20000 idler sets. Chaotic transverse belt vibrations occur for certain levels of excitation, further complicating the prediction of bearing life. Before conveyor installation, an estimate of the stability boundaries for resonance-free operation is an essential precursor to failure-free conveyor operation. Nonlinear resonance phenomena such as belt flap is sensitive to initial conditions. The effects of chaotic vibrations on the predictability of design stability is reviewed using some examples of forced vibrations.

scholarly journals Effects of boundary conditions and flow on the kink instability in a cylindrical plasma column

2007 ◽  
Vol 14 (2) ◽  
pp. 022103 ◽  
Author(s):  
I. Furno ◽  
T. P. Intrator ◽  
G. Lapenta ◽  
L. Dorf ◽  
S. Abbate ◽  
...  
Keyword(s):  
Boundary Conditions ◽  
Plasma Column ◽  
Cylindrical Plasma ◽  
Kink Instability ◽  
Cylindrical Plasma Column

scholarly journals Oscillations of an inhomogeneous cylindrical plasma column

1967 ◽  
Vol 50 (1) ◽  
pp. 129-136
Author(s):  
S. Krishan ◽  
S. Singh Rao
Keyword(s):  
Plasma Column ◽  
Cylindrical Plasma ◽  
Cylindrical Plasma Column

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.

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