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Particle energization through time-periodic helical magnetic fields
Physical Review E
We solve for the motion of charged particles in a helical time-periodic ABC (Arnold-Beltrami-Childress) magnetic field. The magnetic field lines of a stationary ABC field with coefficients A=B=C=1 are chaotic, and we show that the motion of a charged particle in such a field is also chaotic at late times with positive Lyapunov exponent. We further show that in time-periodic ABC fields, the kinetic energy of a charged particle can increase indefinitely with time. At late times the mean kineticdoi:10.1103/physreve.89.042919 pmid:24827325 fatcat:3mw3me6knbhs7fsgn3vkjt6joa