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Particle energization through time-periodic helical magnetic fields
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.ORCID iD: 0000-0001-6162-7112
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Stockholm University, Sweden.ORCID iD: 0000-0002-7304-021X
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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, 042919Article 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
Keyword [en]
Charged particles, Kinetics, Lyapunov methods, Magnetic fields, Probability density function, Distribution of particles, Energization, Gaussians, Lyapunov exponent, Magnetic field line
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-161772DOI: 10.1103/PhysRevE.89.042919ISI: 000339888000014PubMedID: 24827325Scopus ID: 2-s2.0-84899750537OAI: oai:DiVA.org:kth-161772DiVA: diva2:807324
Funder
EU, European Research Council, 227952Swedish Research Council, 2011-542
Note

QC 20150423

Available from: 2015-04-23 Created: 2015-03-17 Last updated: 2017-12-04Bibliographically approved

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Mitra, DhrubadityaBrandenburg, Axel

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