Wave propagation in a plasma in the presence of a spatially uniform external periodic magnetic field

1975 ◽  
Vol 13 (2) ◽  
pp. 327-334 ◽  
Author(s):  
K. P. Das
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
Kinetic Equation ◽  
Dispersion Relation ◽  
Electric Field ◽  
Hydrodynamic Equations ◽  
Periodic Magnetic Field ◽  
Hot Plasma ◽  
Periodic Electric Field ◽  
Excitation Conditions

Starting from the kinetic equation and Maxwell's equations, a dispersion relation is obtained for wave propagation through a fully-ionized plasma along a spatially-uniform, external, periodic magnetic field B0 cos ω0t, and several excitation conditions are deduced. The parametri excitation of waves in a plasma by spatially uniform external periodic electric field has been considered by several authors (Aiev & Silim 1965; Montgomery & Alexeff 1966; Jackson 1967; Prasad 1967, 1968; Nishikawa 1968 a, b). The effect of spatially uniform external periodic magnetic field on wave propagation through a hot plasma was considered by Das (1971), who used hydrodynamic equations to study the effect of wave propagation perpendicular to a spatially-uniform, external, periodic magnetic field.

Effect of spatially uniform external periodic magnetic field on wave propagation through a hot electron plasma

1971 ◽  
Vol 5 (2) ◽  
pp. 151-159 ◽  
Author(s):  
K. P. Das
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
Dispersion Relation ◽  
Electron Plasma ◽  
Hydrodynamic Equations ◽  
Hot Electron ◽  
Periodic Magnetic Field ◽  
Excitation Conditions

Starting from hydrodynamic equations, a dispersion relation is obtained for wave propagation through a hot electron plasma perpendicular to a spatially uniform external periodic magnetic field, B0 cos ω0t, and several excitation conditions are deduced.

Wave propagation in the presence of a spatially uniform external periodic magnetic field in two-temperature plasma

1982 ◽  
Vol 28 (1) ◽  
pp. 93-101
Author(s):  
Sanjay Kumar Ghosh
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
Fluid Model ◽  
Hydrodynamic Equations ◽  
Temperature Plasma ◽  
Uniform External Magnetic Field ◽  
Two Fluid Model ◽  
Excitation Conditions ◽  
Two Fluid ◽  
Two Temperature

Starting from the two-fluid model hydrodynamic equations, a dispersion relation is obtained for wave propagation through a two-temperature plasma perpendicular to the direction of the spatially uniform external magnetic field B0cosω0t and several excitation conditions are deduced.

Wave propagation in a moving plasma. Part 1. Wave propagation normal to the magnetic field and motion of the plasma along the magnetic field

1974 ◽  
Vol 11 (3) ◽  
pp. 389-395 ◽  
Author(s):  
D. N. Srivastava
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
Dispersion Relation ◽  
Magnetic Fields ◽  
Plasma Frequency ◽  
Electron Plasma ◽  
Ordinary Wave ◽  
Moving Plasma ◽  
The Magnetic Field

The dispersion relation for a collisionless moving electron plasma, when the direction of motion is along the magnetic field, and that of the wave propagation normal to the magnetic field, is analysed. It is shown that in small magnetic fields the ordinary wave develops a new band of backward waves below the plasma frequency. When the frequency of the wave is higher than the plasma frequency, the effect of the motion of the plasma is identical to a deviation of the direction of propagation.

scholarly journals Bootstrap current and parallel ion velocity in imperfectly optimized stellarators

2020 ◽  
Vol 86 (1) ◽  
Author(s):  
Peter J. Catto ◽  
Per Helander
Keyword(s):  
Magnetic Field ◽  
Kinetic Equation ◽  
Electric Field ◽  
Flow Velocity ◽  
Collision Frequency ◽  
Rotation Frequency ◽  
Radial Electric Field ◽  
Local Form ◽  
Bootstrap Current ◽  
Ion Velocity

A novel derivation of the parallel ion velocity, and the bootstrap and Pfirsch–Schlüter currents in an imperfectly optimized (that is, almost omnigenous) stellarator magnetic field, $\boldsymbol{B}$ , is presented that somewhat more generally recovers expressions completely consistent with previous analytic results. However, it is also shown that, when the conventional radially local form of the drift kinetic equation is employed, the flow velocity and the bootstrap current acquire a spurious contribution proportional to $\unicode[STIX]{x1D714}/\unicode[STIX]{x1D708}$ , where $\unicode[STIX]{x1D714}$ denotes the $\boldsymbol{E}\times \boldsymbol{B}$ rotation frequency (due to the radial electric field $\boldsymbol{E}$ ) and $\unicode[STIX]{x1D708}$ the collision frequency. This contribution is particularly large in the $\sqrt{\unicode[STIX]{x1D708}}$ regime and at smaller collisionalities, where $\unicode[STIX]{x1D714}/\unicode[STIX]{x1D708}\gtrsim 1$ , and is presumably present in most numerical calculations, but it disappears if a more accurate drift kinetic equation is used.

scholarly journals Wave propagation in the magnetized cores of white dwarf stars with ultra-relativistic degenerate electrons

2011 ◽  
Vol 77 (5) ◽  
pp. 571-575 ◽  
Author(s):  
P. K. SHUKLA ◽  
D. A. MENDIS ◽  
S. I. KRASHENINNIKOV
Keyword(s):  
Wave Propagation ◽  
Dispersion Relation ◽  
White Dwarf ◽  
Low Frequency ◽  
Hydrodynamic Equations ◽  
Dwarf Star ◽  
Dwarf Stars ◽  
White Dwarf Stars

AbstractWe discuss the dispersive properties of low-frequency electromagnetic (EM) perturbations in the magnetized core of self-gravitating white dwarf stars with ultra-relativistic degenerate electrons. For our purposes, we derive a dispersion relation by using the hydrodynamic equations for the ions under the action of EM and self-gravitating forces, and the inertialess electrons under the action of EM forces and the gradient of the ultra-relativistic pressure. The dispersion relation admits stability of a white dwarf star against a class of EM perturbations whose wavelengths are shorter than 15000 km.

scholarly journals Об одном нелинейном эффекте в теории сверхпроводимости

2019 ◽  
Vol 61 (11) ◽  
pp. 1995
Author(s):  
С.О. Гладков
Keyword(s):  
Magnetic Field ◽  
Electric Field ◽  
Flow Velocity ◽  
Penetration Depth ◽  
Nonlinear Effect ◽  
Homogeneous Magnetic Field ◽  
Hydrodynamic Flow ◽  
Magnetic Potential ◽  
Hydrodynamic Equations ◽  
London Penetration Depth

AbstractBased on the solution of the hydrodynamic equations and Maxwell’s equations, we show that an external quasi-homogeneous magnetic field leads to the emergence of a secondary electric field that is resulted from a nonlinear effect over magnetic potential A . This field is proved to exist in the region with a depth of $$\delta {\text{/}}2$$ , where δ is the London penetration depth. The hydrodynamic flow velocity is estimated.

Stability of Viscous Rotating Gravitating Streams in a Magnetic Field

2006 ◽  
Vol 61 (5-6) ◽  
pp. 258-262
Author(s):  
Prem Kumar Bhatia ◽  
Ravi Prakash Mathur
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
Dispersion Relation ◽  
Horizontal Magnetic Field ◽  
The Stability ◽  
The Magnetic Field ◽  
Perturbation Equations

We have studied the stability of two superposed viscous compressible gravitating streams rotating about an axis perpendicular to the direction of a horizontal magnetic field. For wave propagation parallel to the direction of the magnetic field the dispersion relation is derived by solving the linearized perturbation equations. Both the viscosity and rotation are found to suppress the instability of the system

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