An adiabatic invariant for single-particle motion in static axisymmetric magnetic fields with large wave-number variations

2006 ◽  
Vol 13 (8) ◽  
pp. 084501 ◽  
Author(s):  
Jonathan Keyes ◽  
Harold Weitzner
Keyword(s):  
Magnetic Fields ◽  
Single Particle ◽  
Particle Motion ◽  
Adiabatic Invariant ◽  
Wave Number ◽  
Large Wave ◽  
Large Wave Number ◽  
Single Particle Motion

scholarly journals Causality and stability conditions of a conformal charged fluid

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Farid Taghinavaz
Keyword(s):  
Chemical Potential ◽  
Second Law Of Thermodynamics ◽  
Dense Medium ◽  
Wave Number ◽  
Second Law ◽  
Stability Conditions ◽  
Charged Fluid ◽  
Large Wave ◽  
The Stability ◽  
Large Wave Number

Abstract In this paper, I study the conditions imposed on a normal charged fluid so that the causality and stability criteria hold for this fluid. I adopt the newly developed General Frame (GF) notion in the relativistic hydrodynamics framework which states that hydrodynamic frames have to be fixed after applying the stability and causality conditions. To do this, I take a charged conformal matter in the flat and 3 + 1 dimension to analyze better these conditions. The causality condition is applied by looking to the asymptotic velocity of sound hydro modes at the large wave number limit and stability conditions are imposed by looking to the imaginary parts of hydro modes as well as the Routh-Hurwitz criteria. By fixing some of the transports, the suitable spaces for other ones are derived. I observe that in a dense medium having a finite U(1) charge with chemical potential μ0, negative values for transports appear and the second law of thermodynamics has not ruled out the existence of such values. Sign of scalar transports are not limited by any constraints and just a combination of vector transports is limited by the second law of thermodynamic. Also numerically it is proved that the most favorable region for transports $$ {\tilde{\upgamma}}_{1,2}, $$ γ ˜ 1 , 2 , coefficients of the dissipative terms of the current, is of negative values.

scholarly journals Single-particle motion under the influence of the perpendicular ponderomotive force

1987 ◽  
Vol 37 (3) ◽  
pp. 497-506
Author(s):  
M. C. Festeau-Barrioz ◽  
M. L. Sawley ◽  
J. Václavík
Keyword(s):  
Electromagnetic Field ◽  
Single Particle ◽  
Particle Motion ◽  
Ponderomotive Force ◽  
Equation Of Motion ◽  
Exact Equation ◽  
Particle Theory ◽  
Magnetostatic Field ◽  
Single Particle Motion

The motion of a single particle under the influence of the ponderomotive force directed perpendicular to the external magnetostatic field is analysed. By solving the exact equation of motion for a specific applied electromagnetic field, the resultant ponderomotive drift is compared with the prediction of a single-particle theory using the oscillation-centre approximation. The regime of validity of this theory is discussed. It is shown that, for certain values of the amplitude and frequency of the electromagnetic field, the particle motion is unstable and therefore the concept of a single-particle ponderomotive force is meaningless.

Comment on "Kinetic theory of single-particle motion in a fluid"

1979 ◽  
Vol 19 (1) ◽  
pp. 416-418 ◽  
Author(s):  
H. van Beijeren ◽  
J. R. Dorfman
Keyword(s):  
Kinetic Theory ◽  
Single Particle ◽  
Particle Motion ◽  
Single Particle Motion
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