Transport of Field Lines and Particles in a Stochastic Magnetic Field

2013 ◽  
pp. 263-293
Author(s):  
Sadrilla Abdullaev
Keyword(s):  
Magnetic Field ◽  
Field Lines ◽  
Stochastic Magnetic Field

Stochastic magnetic field lines diffusion in a toroidal configuration (Tokamak)

2000 ◽  
Vol 12 (2) ◽  
pp. 145-153 ◽  
Author(s):  
R. Tabet ◽  
H. Imrane ◽  
D. Saifaoui ◽  
A. Dezairi ◽  
F. Miskane
Keyword(s):  
Magnetic Field ◽  
Field Lines ◽  
Stochastic Magnetic Field

Particle transport and rotation damping due to stochastic magnetic field lines

1992 ◽  
Vol 4 (5) ◽  
pp. 1152-1155 ◽  
Author(s):  
John M. Finn ◽  
Parvez N. Guzdar ◽  
Alexander A. Chernikov
Keyword(s):  
Magnetic Field ◽  
Particle Transport ◽  
Field Lines ◽  
Stochastic Magnetic Field

Self‐similarity of stochastic magnetic field lines near the X‐point

1995 ◽  
Vol 2 (12) ◽  
pp. 4533-4541 ◽  
Author(s):  
S. S. Abdullaev ◽  
G. M. Zaslavsky
Keyword(s):  
Magnetic Field ◽  
Self Similarity ◽  
Field Lines ◽  
Stochastic Magnetic Field

Electrostatic turbulence and transport with stochastic magnetic field lines

2002 ◽  
Vol 44 (10) ◽  
pp. 2167-2184 ◽  
Author(s):  
P Beyer ◽  
X Garbet ◽  
S Benkadda ◽  
P Ghendrih ◽  
Y Sarazin
Keyword(s):  
Magnetic Field ◽  
Field Lines ◽  
Stochastic Magnetic Field

Friction coefficient and correlation length of stochastic magnetic field lines

1996 ◽  
Vol 38 (2) ◽  
pp. 229-242 ◽  
Author(s):  
Hisaya Sugimoto ◽  
Takasi Kurasawa ◽  
Hisao Ashida
Keyword(s):  
Magnetic Field ◽  
Friction Coefficient ◽  
Correlation Length ◽  
Field Lines ◽  
Stochastic Magnetic Field

Stochastic magnetic field generation in MHD resistive instabilities: validity limits of linear stability analysis

1988 ◽  
Vol 40 (3) ◽  
pp. 419-440 ◽  
Author(s):  
Marco Pettini ◽  
Guidetta Torricelli-Ciamponi
Keyword(s):  
Magnetic Field ◽  
Explicit Expression ◽  
Degrees Of Freedom ◽  
Analytical Form ◽  
Magnetic Field Generation ◽  
Stochasticity Threshold ◽  
Field Lines ◽  
Spatial Stochasticity ◽  
Stochastic Magnetic Field ◽  
The Magnetic Field

This paper aims at determining the validity limits of a linear analysis for a resistive instability. To this purpose, the effects of mode-coupling on the magnetic field structure are investigated in the reconnecting layer. Given an equilibrium magnetic field and a perturbation field, the conditions are found under which the equations for the magnetic field lines of force can be expressed in Hamiltonian form. These conditions can be fulfilled by a resistive instability. Consequently, in a simple equilibrium magnetic field the resistive eigenmodes have been analytically derived. This result is used to give an explicit expression of the Hamiltonian for field-line equations when two resistive eigenmodes are taken into account. The analytical form of the resulting Hamiltonian coincides with the so-called paradigm Hamiltonian (1·5 degrees of freedom) for which the Escande–Doveil renormalization procedure leads to an explicit expression for the global stochasticity threshold. Thus it can be shown that any pair of modes – in a suitable range of parameters – yields spatial stochasticity of magnetic field lines when the perturbation amplitude is still very low. Hence a limit of validity of the linear theory can be found. The linear phase of the resistive instability turns out to be relevant only to describe the onset of the instability itself.

Sign in / Sign up

Export Citation Format

Share Document