Particle energization through time-periodic helical magnetic fields
Abstract
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 kinetic energy grows as a power law in time with an exponent that approaches unity. For an initial distribution of particles, whose kinetic energy is uniformly distributed within some interval, the probability density function of kinetic energy is, at late times, close to a Gaussian but with steeper tails.
- Publication:
-
Physical Review E
- Pub Date:
- April 2014
- DOI:
- 10.1103/PhysRevE.89.042919
- arXiv:
- arXiv:1306.0151
- Bibcode:
- 2014PhRvE..89d2919M
- Keywords:
-
- 05.45.-a;
- 94.20.wc;
- 96.50.Pw;
- 98.70.Sa;
- Nonlinear dynamics and chaos;
- Plasma motion;
- plasma convection;
- particle acceleration;
- Particle acceleration;
- Cosmic rays;
- Astrophysics - High Energy Astrophysical Phenomena;
- Nonlinear Sciences - Chaotic Dynamics;
- Physics - Space Physics
- E-Print:
- uses Revtex 4 instead of Revtex 4-1