Charged particle dynamics in the presence of non-Gaussian Lévy electrostatic fluctuations
Abstract
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.
- Authors:
-
- 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)
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1334491
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 23; Journal Issue: 9; Journal ID: ISSN 1070-664X
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Del-Castillo-Negrete, Diego B., Moradi, Sara, and Anderson, Johan. Charged particle dynamics in the presence of non-Gaussian Lévy electrostatic fluctuations. United States: N. p., 2016.
Web. doi:10.1063/1.4963394.
Del-Castillo-Negrete, Diego B., Moradi, Sara, & Anderson, Johan. Charged particle dynamics in the presence of non-Gaussian Lévy electrostatic fluctuations. United States. https://doi.org/10.1063/1.4963394
Del-Castillo-Negrete, Diego B., Moradi, Sara, and Anderson, Johan. Thu .
"Charged particle dynamics in the presence of non-Gaussian Lévy electrostatic fluctuations". United States. https://doi.org/10.1063/1.4963394. https://www.osti.gov/servlets/purl/1334491.
@article{osti_1334491,
title = {Charged particle dynamics in the presence of non-Gaussian Lévy electrostatic fluctuations},
author = {Del-Castillo-Negrete, Diego B. and Moradi, Sara and Anderson, Johan},
abstractNote = {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.},
doi = {10.1063/1.4963394},
journal = {Physics of Plasmas},
number = 9,
volume = 23,
place = {United States},
year = {Thu Sep 01 00:00:00 EDT 2016},
month = {Thu Sep 01 00:00:00 EDT 2016}
}
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