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    Dynamics of charged particle motion in the vicinity of three dimensional magnetic null points: Energization and chaos

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    Authors
    Gascoyne, Andrew
    Issue Date
    2015-03-27
    
    Metadata
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    Abstract
    Using a full orbit test particle approach, we analyse the motion of a single proton in the vicinity of magnetic null point configurations which are solutions to the kinematic, steady state, resistive magnetohydrodynamics equations. We consider two magnetic configurations, namely, the sheared and torsional spine reconnection regimes [E. R. Priest and D. I. Pontin, Phys. Plasmas 16, 122101 (2009); P. Wyper and R. Jain, Phys. Plasmas 17, 092902 (2010)]; each produce an associated electric field and thus the possibility of accelerating charged particles to high energy levels, i.e., > MeV, as observed in solar flares [R. P. Lin, Space Sci. Rev. 124, 233 (2006)]. The particle's energy gain is strongly dependent on the location of injection and is characterised by the angle of approach β, with optimum angle of approach βopt as the value of β which produces the maximum energy gain. We examine the topological features of each regime and analyse the effect on the energy gain of the proton. We also calculate the complete Lyapunov spectrum for the considered dynamical systems in order to correctly quantify the chaotic nature of the particle orbits. We find that the sheared model is a good candidate for the acceleration of particles, and for increased shear, we expect a larger population to be accelerated to higher energy levels. In the strong electric field regime (E0=1500E0=1500 V/m), the torsional model produces chaotic particle orbits quantified by the calculation of multiple positive Lyapunov exponents in the spectrum, whereas the sheared model produces chaotic orbits only in the neighbourhood of the null point.
    Citation
    Dynamics of charged particle motion in the vicinity of three dimensional magnetic null points: Energization and chaos 2015, 22 (3):032907 Physics of Plasmas
    Publisher
    AIP
    Journal
    Physics of Plasmas
    URI
    http://hdl.handle.net/2436/621034
    DOI
    10.1063/1.4916402
    Additional Links
    http://aip.scitation.org/doi/10.1063/1.4916402
    Type
    Journal article
    Language
    en
    ISSN
    1070-664X
    1089-7674
    Sponsors
    STFC (UK)
    ae974a485f413a2113503eed53cd6c53
    10.1063/1.4916402
    Scopus Count
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    Faculty of Science and Engineering

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