Charged particle dynamics in the presence of nonGaussian Lévy electrostatic fluctuations
Full orbit dynamics of charged particles in a 3dimensional 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 nonlocal 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 nonGaussian statistics of the particles' Larmor radii (resulting from outlier transport events) indicate that, when electrostatic turbulent fluctuations exhibit nonGaussian Levy statistics, gyroaveraging and guiding centre approximations might face limitations and full particle orbit effects should be taken into account.
 Authors:

^{[1]};
^{[2]};
^{[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)
 Publication Date:
 Grant/Contract Number:
 AC0500OR22725
 Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 23; Journal Issue: 9; Journal ID: ISSN 1070664X
 Publisher:
 American Institute of Physics (AIP)
 Research Org:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 Sponsoring Org:
 USDOE Office of Science (SC)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
 OSTI Identifier:
 1334491
DelCastilloNegrete, Diego B., Moradi, Sara, and Anderson, Johan. Charged particle dynamics in the presence of nonGaussian Lévy electrostatic fluctuations. United States: N. p.,
Web. doi:10.1063/1.4963394.
DelCastilloNegrete, Diego B., Moradi, Sara, & Anderson, Johan. Charged particle dynamics in the presence of nonGaussian Lévy electrostatic fluctuations. United States. doi:10.1063/1.4963394.
DelCastilloNegrete, Diego B., Moradi, Sara, and Anderson, Johan. 2016.
"Charged particle dynamics in the presence of nonGaussian Lévy electrostatic fluctuations". United States.
doi:10.1063/1.4963394. https://www.osti.gov/servlets/purl/1334491.
@article{osti_1334491,
title = {Charged particle dynamics in the presence of nonGaussian Lévy electrostatic fluctuations},
author = {DelCastilloNegrete, Diego B. and Moradi, Sara and Anderson, Johan},
abstractNote = {Full orbit dynamics of charged particles in a 3dimensional 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 nonlocal 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 nonGaussian statistics of the particles' Larmor radii (resulting from outlier transport events) indicate that, when electrostatic turbulent fluctuations exhibit nonGaussian Levy statistics, gyroaveraging 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 = {2016},
month = {9}
}