Quasiadiabatic model of chargedparticle motion in a dipole magnetic trap under conditions of dynamic chaos
Abstract
A model is developed for nonadiabatic particle motion in the region of stochastic instability. In the proposed model the particles are 'twisted' around the trajectory passing through the dipole center (DC), as opposed to a wellknown adiabatic theory where the particles are 'twisted' around the magnetic line of force. The presence of continuous motion is shown, which is analogous to the magnetic motion in the adiabatic model. Formulas are presented for transforming the lineofforce coordinate system to a system with the DC reference scale. The transformations between these two systems represent Euler turns in the direction of the particle rotation and drift. Based on these concepts, a simple Poincare transformation for a DC system is found, which describes the particles' longterm evolution.
 Publication:

Pisma v Zhurnal Eksperimentalnoi i Teoreticheskoi Fiziki
 Pub Date:
 June 1992
 Bibcode:
 1992PZETF..55..621I
 Keywords:

 Chaos;
 Charged Particles;
 Magnetic Dipoles;
 Magnetically Trapped Particles;
 Particle Motion;
 Coordinate Transformations;
 Equations Of Motion;
 Lines Of Force;
 Particle Trajectories;
 Stochastic Processes;
 Plasma Physics