Full orbit dynamics of charged particles in a 3-dimensional helical magnetic field in the presence of α-stable Lévy electrostatic fluctuations and linear friction modeling collisional Coulomb drag is studied via Monte Carlo numerical simulations. The Lévy fluctuations are introduced to model the effect of non-local transport due to fractional diffusion in velocity space resulting from intermittent electrostatic turbulence. The probability distribution functions of energy, particle displacements, and Larmor radii are computed and showed to exhibit a transition from exponential decay, in the case of Gaussian fluctuations, to power law decay in the case of Lévy fluctuations. The absolute value of the power law decay exponents is linearly proportional to the Lévy index α. The observed anomalous non-Gaussian statistics of the particles' Larmor radii (resulting from outlier transport events) indicate that, when electrostatic turbulent fluctuations exhibit non-Gaussian Lévy statistics, gyro-averaging and guiding centre approximations might face limitations and full particle orbit effects should be taken into account.
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September 2016
Research Article|
September 23 2016
Charged particle dynamics in the presence of non-Gaussian Lévy electrostatic fluctuations
Sara Moradi
;
Sara Moradi
1Fluid and Plasma Dynamics,
Universite Libre de Bruxelles
, 1050 Brussels, Belgium
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Diego del-Castillo-Negrete
;
Diego del-Castillo-Negrete
2
Oak Ridge National Laboratory
, Oak Ridge, Tennessee 37831-8071, USA
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Johan Anderson
Johan Anderson
1Fluid and Plasma Dynamics,
Universite Libre de Bruxelles
, 1050 Brussels, Belgium
3Department of Earth and Space Sciences,
Chalmers University of Technology
, SE-412 96 Göteborg, Sweden
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Phys. Plasmas 23, 090704 (2016)
Article history
Received:
July 28 2016
Accepted:
September 12 2016
Citation
Sara Moradi, Diego del-Castillo-Negrete, Johan Anderson; Charged particle dynamics in the presence of non-Gaussian Lévy electrostatic fluctuations. Phys. Plasmas 1 September 2016; 23 (9): 090704. https://doi.org/10.1063/1.4963394
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