First-order finite-Larmor-radius effects on magnetic tearing in pinch configurations

2011 ◽  
Vol 18 (4) ◽  
pp. 042303 ◽  
Author(s):  
J. R. King ◽  
C. R. Sovinec ◽  
V. V. Mirnov
Keyword(s):  
Larmor Radius ◽  
Finite Larmor Radius ◽  
First Order ◽  
Magnetic Tearing

On the structure of collisionless waves

1969 ◽  
Vol 3 (4) ◽  
pp. 673-689 ◽  
Author(s):  
James B. Fedele
Keyword(s):  
Magnetic Field ◽  
Applied Magnetic Field ◽  
Small Amplitude ◽  
Single Mode ◽  
Larmor Radius ◽  
Collisionless Shock ◽  
Finite Larmor Radius ◽  
First Order ◽  
Pulse Solution ◽  
Solitary Pulse

Small amplitude waves and collisionless shock waves are investigated within the framework of the first-order Chew—Goldberger—Low equations. For linearized oscillations, two modes are present for propagation along an applied magnetic field. One is an acoustic type which contains no finite Larmor radius effects. The other which contains the ‘fire hose’ instability in its lowest order terms, does possess finite Larmor radius corrections. These corrections, however, do not produce instabilities or dissipation. There are no finite Larmor radius corrections to the single mode present for propagation normal to the applied magnetic field. Normal shock structure is investigated, but it is shown that jump solutions do not exist. An analytic solitary pulse solution is found and is compared with the Adlam—Allen pulse solution.

First-order finite-Larmor-radius fluid modeling of tearing and relaxation in a plasma pinch

2012 ◽  
Vol 19 (5) ◽  
pp. 055905 ◽  
Author(s):  
J. R. King ◽  
C. R. Sovinec ◽  
V. V. Mirnov
Keyword(s):  
Larmor Radius ◽  
Fluid Modeling ◽  
Finite Larmor Radius ◽  
Plasma Pinch ◽  
First Order

The effect of electron temperature anisotropy on the propagation of whistler waves

1981 ◽  
Vol 26 (1) ◽  
pp. 83-93 ◽  
Author(s):  
Tomikazu Namikawa ◽  
Hiromitsu Hamabata ◽  
Kazuhiko Tanabe
Keyword(s):  
Magnetic Field ◽  
Refractive Index ◽  
Electron Temperature ◽  
Velocity Distribution Function ◽  
Thermal Motion ◽  
Larmor Radius ◽  
Temperature Anisotropy ◽  
Whistler Waves ◽  
Finite Larmor Radius ◽  
First Order

The first-order Chew, Goldberger & Low (GGL) equations for electrons including the effect of finite Larmor radius are applied to the whistler wave. The zerothorder velocity distribution function for electrons in the GGL expansion is assumed to be an anisotropic Maxwellian. The effect of electron thermal motion on the propagation of whistler waves is analysed by use of a dispersion relation and properties of the refractive index surface. It is shown that the electron thermal motion intensifies the tendency of whistler waves to follow the lines of force of the earth's magnetic field at appropriate values of electron temperature anisotropy.

Excitation of Alfvén waves by fast particles in a finite pressure plasma of adiabatic traps

1978 ◽  
Vol 20 (1) ◽  
pp. 137-148 ◽  
Author(s):  
B. I. Meerson ◽  
A. B. Mikhallovskii ◽  
O. A. Pokhotelov
Keyword(s):  
Uniform Magnetic Field ◽  
Alfven Waves ◽  
Larmor Radius ◽  
Alfvén Waves ◽  
Trapped Particles ◽  
Resonance Effects ◽  
Finite Larmor Radius ◽  
Pressure Plasma ◽  
Pressure Stabilization ◽  
Instability Growth

Resonant excitation of Alfvén waves by fast particles in a finite pressure plasma in a non-uniform magnetic field is studied. Plasma compressibility in the wave field is determined both by the curvature of the magnetic lines of force and finite Larmor radius of fast particles. A general expression for the instability growth rate is obtained and analyzed; the applicability of the results obtained in the previous paper has also been studied. The finite pressure stabilization of the trapped particles instability has been found. The bounce-resonance effects are analyzed.

scholarly journals Diffusion at the Earth magnetopause: enhancement by Kelvin-Helmholtz instability

2007 ◽  
Vol 25 (1) ◽  
pp. 271-282 ◽  
Author(s):  
R. Smets ◽  
G. Belmont ◽  
D. Delcourt ◽  
L. Rezeau
Keyword(s):  
Magnetic Field ◽  
Distribution Functions ◽  
Larmor Radius ◽  
Simple Analytical Model ◽  
Helmholtz Instability ◽  
Field Reversal ◽  
Finite Larmor Radius ◽  
The Earth ◽  
Specific Distribution ◽  
The Magnetic Field

Abstract. Using hybrid simulations, we examine how particles can diffuse across the Earth's magnetopause because of finite Larmor radius effects. We focus on tangential discontinuities and consider a reversal of the magnetic field that closely models the magnetopause under southward interplanetary magnetic field. When the Larmor radius is on the order of the field reversal thickness, we show that particles can cross the discontinuity. We also show that with a realistic initial shear flow, a Kelvin-Helmholtz instability develops that increases the efficiency of the crossing process. We investigate the distribution functions of the transmitted ions and demonstrate that they are structured according to a D-shape. It accordingly appears that magnetic reconnection at the magnetopause is not the only process that leads to such specific distribution functions. A simple analytical model that describes the built-up of these functions is proposed.

Finite-Larmor-radius stabilization of the m = 2 instability in the Isar T1-B high-beta stellarator

1977 ◽  
Vol 17 (1) ◽  
pp. 3-11 ◽  
Author(s):  
J. Neuhauser ◽  
M. Kaufmann ◽  
H. Röhr ◽  
G. Schramm
Keyword(s):  
Larmor Radius ◽  
Finite Larmor Radius ◽  
High Beta
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