# 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:

- SNU Division of Graduate Education for Sustainabilization of Foundation Energy, Seoul National University, Gwanak-ro 1, Gwanak-gu, 151-744 Seoul (Korea, Republic of)
- Department of Nuclear Engineering, Seoul National University, Gwanak-ro 1, Gwanak-gu, 151-744 Seoul (Korea, Republic of)
- 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}

}