The effect of a strong magnetic field on the magnetohydrodynamic stability of plasma and the containment of charged particles in the ?Tokamak?

1963 ◽  
Vol 15 (5) ◽  
pp. 1105-1112 ◽  
Author(s):  
E. P. Gorbunov ◽  
K. A. Razumova
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Charged Particles

Anomalous diffusion of charged particles in a strong magnetic field

1984 ◽  
Vol 29 (5) ◽  
pp. 2960-2962 ◽  
Author(s):  
M. Cristina Marchetti ◽  
T. R. Kirkpatrick ◽  
J. R. Dorfman
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Anomalous Diffusion ◽  
Charged Particles

DISTRIBUTION OF CHARGED PARTICLES TRAPPED IN A VARYING STRONG MAGNETIC FIELD (ONE-DIMENSIONAL CASE) WITH APPLICATIONS TO TRAPPED RADIATION

1964 ◽  
Vol 42 (6) ◽  
pp. 1185-1194 ◽  
Author(s):  
Tomiya Watanabe
Keyword(s):  
Magnetic Field ◽  
Differential Equation ◽  
Distribution Function ◽  
Strong Magnetic Field ◽  
Three Dimensional ◽  
Charged Particles ◽  
Dimensional Case ◽  
One Dimensional ◽  
Canonical Variables ◽  
Trapped Radiation

The differential equation for the distribution function of charged particles trapped in a strong magnetic field is discussed for the case when the charged particles are constrained in a tube of magnetic lines of force with a small normal cross section (the one-dimensional case). The distribution function is not defined by the six canonical variables, the variables in geometrical space and velocity space, as is done usually when referring to the Boltzmann equation. Instead, it is defined by the space coordinates of the guiding center of a representative particle together with its speed and pitch angle (i.e. five variables, in the three-dimensional case). In some problems, this type of description makes the correspondence between the physical picture and its mathematical description much easier. Several problems relating to trapped radiation are discussed using the differential equation.

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