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Particle energization through time-periodic helical magnetic fields
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
Stockholm University, Faculty of Science, Department of Astronomy. Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
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2014 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 89, no 4, 042919- p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2014. Vol. 89, no 4, 042919- p.
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Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-107192DOI: 10.1103/PhysRevE.89.042919ISI: 000339888000014OAI: oai:DiVA.org:su-107192DiVA: diva2:744269
Note

AuthorCount:5;

Available from: 2014-09-08 Created: 2014-09-05 Last updated: 2017-12-05Bibliographically approved

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Brandenburg, Axel
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Nordic Institute for Theoretical Physics (Nordita)Department of Astronomy
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