Charged particle dynamics in the presence of non-Gaussian Lévy electrostatic fluctuations

Del-Castillo-Negrete, Diego B.; Moradi, Sara; Anderson, Johan

doi:10.1063/1.4963394

Title: Charged particle dynamics in the presence of non-Gaussian Lévy electrostatic fluctuations

Journal Article · Thu Sep 01 00:00:00 EDT 2016 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4963394· OSTI ID:1334491

Del-Castillo-Negrete, Diego B. ^[1]; Moradi, Sara ^[2]; Anderson, Johan ^[3]

Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Univ. Libre de Bruxelles, Brussels (Belgium)
Univ. Libre de Bruxelles, Brussels (Belgium); Chalmers Univ. of Technology, Goteborg (Sweden)

Full orbit dynamics of charged particles in a 3-dimensional helical magnetic field in the presence of -stable Levy electrostatic fluctuations and linear friction modeling collisional Coulomb drag is studied via Monte Carlo numerical simulations. The Levy 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 Levy fluctuations. The absolute value of the power law decay exponents are linearly proportional to the Levy index. Furthermore, 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 Levy statistics, gyro-averaging and guiding centre approximations might face limitations and full particle orbit effects should be taken into account.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1334491

Journal Information:: Physics of Plasmas, Vol. 23, Issue 9; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 4 works

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First-passage properties of asymmetric Lévy flights Padash, Amin; Chechkin, Aleksei V.; Dybiec, Bartlomiej Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 45 https://doi.org/10.1088/1751-8121/ab493e	journal	October 2019
Global scaling of the heat transport in fusion plasmas Moradi, Sara; Anderson, Johan; Romanelli, Michele Physical Review Research, Vol. 2, Issue 1 https://doi.org/10.1103/physrevresearch.2.013027	journal	January 2020
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