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Title: Electromagnetic nonlinear gyrokinetics with polarization drift

Abstract

A set of new nonlinear electromagnetic gyrokinetic Vlasov equation with polarization drift and gyrokinetic Maxwell equations is systematically derived by using the Lie-transform perturbation method in toroidal geometry. For the first time, we recover the drift-kinetic expression for parallel acceleration [R. M. Kulsrud, in Basic Plasma Physics, edited by A. A. Galeev and R. N. Sudan (North-Holland, Amsterdam, 1983)] from the nonlinear gyrokinetic equations, thereby bridging a gap between the two formulations. This formalism should be useful in addressing nonlinear ion Compton scattering of intermediate-mode-number toroidal Alfvén eigenmodes for which the polarization current nonlinearity [T. S. Hahm and L. Chen, Phys. Rev. Lett. 74, 266 (1995)] and the usual finite Larmor radius effects should compete.

Authors:
 [1];  [2];  [3]
  1. SNU Division of Graduate Education for Sustainabilization of Foundation Energy, Seoul National University, Gwanak-ro 1, Gwanak-gu, 151-744 Seoul (Korea, Republic of)
  2. Department of Nuclear Engineering, Seoul National University, Gwanak-ro 1, Gwanak-gu, 151-744 Seoul (Korea, Republic of)
  3. College of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074 (China)
Publication Date:
OSTI Identifier:
22303765
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 8; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ACCELERATION; BOLTZMANN-VLASOV EQUATION; COMPTON EFFECT; CURRENTS; LARMOR RADIUS; MAXWELL EQUATIONS; NONLINEAR PROBLEMS; PERTURBATION THEORY; PLASMA; POLARIZATION

Citation Formats

Duthoit, F.-X., Hahm, T. S., E-mail: tshahm@snu.ac.kr, and Wang, Lu. Electromagnetic nonlinear gyrokinetics with polarization drift. United States: N. p., 2014. Web. doi:10.1063/1.4891435.
Duthoit, F.-X., Hahm, T. S., E-mail: tshahm@snu.ac.kr, & Wang, Lu. Electromagnetic nonlinear gyrokinetics with polarization drift. United States. doi:10.1063/1.4891435.
Duthoit, F.-X., Hahm, T. S., E-mail: tshahm@snu.ac.kr, and Wang, Lu. Fri . "Electromagnetic nonlinear gyrokinetics with polarization drift". United States. doi:10.1063/1.4891435.
@article{osti_22303765,
title = {Electromagnetic nonlinear gyrokinetics with polarization drift},
author = {Duthoit, F.-X. and Hahm, T. S., E-mail: tshahm@snu.ac.kr and Wang, Lu},
abstractNote = {A set of new nonlinear electromagnetic gyrokinetic Vlasov equation with polarization drift and gyrokinetic Maxwell equations is systematically derived by using the Lie-transform perturbation method in toroidal geometry. For the first time, we recover the drift-kinetic expression for parallel acceleration [R. M. Kulsrud, in Basic Plasma Physics, edited by A. A. Galeev and R. N. Sudan (North-Holland, Amsterdam, 1983)] from the nonlinear gyrokinetic equations, thereby bridging a gap between the two formulations. This formalism should be useful in addressing nonlinear ion Compton scattering of intermediate-mode-number toroidal Alfvén eigenmodes for which the polarization current nonlinearity [T. S. Hahm and L. Chen, Phys. Rev. Lett. 74, 266 (1995)] and the usual finite Larmor radius effects should compete.},
doi = {10.1063/1.4891435},
journal = {Physics of Plasmas},
number = 8,
volume = 21,
place = {United States},
year = {Fri Aug 15 00:00:00 EDT 2014},
month = {Fri Aug 15 00:00:00 EDT 2014}
}