Open AccessTHRESHOLD OF STOCHASTIC MOTION OF CHARGED PAR-TICLES IN GRADIENT MAGNETIC FIELD BY ELECTROSTATIC WAVE
Author(s) -
MU Jianlin,
Cai Shi-Dong
Publication year - 1989
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.38.1818
Subject(s) - physics , magnetic field , hamiltonian (control theory) , charged particle , oscillation (cell signaling) , nonlinear system , field (mathematics) , classical mechanics , magnetosphere particle motion , motion (physics) , quantum electrodynamics , condensed matter physics , quantum mechanics , ion , mathematical optimization , mathematics , pure mathematics , biology , genetics
Nonlinear effects of the gradient inhomogeneity of the magnetic field on the stochastic motion of charged particles due to an electrostatic wave propagated arbitarily relative to the magnetic field are considered in this paper. A sequence of canonical transformations is preformed to obtain a Hamiltonian explicitly exhibiting the possibility of the resonance between the periodic motion of particles and oscillation in the wave. The theoretical analysis shows that, due to the inhomogeneity of the magnetic field, the threshold for the onse of the stochasticity is changed and, in the case of weak inhomogeneity of the magnetic field, it is lowered, which means that the stochasticity appears more easily than in the case of uniform magnetic field.