# Lie-transform theory of transport in plasma turbulence

## Abstract

From the Vlasov equation, a phase-space transport equation is derived by using the Lie-transform approach, and its connection with the quasilinear transport, nonlinear stochastic transport, and fractional transport equations are discussed. The phase-space transport equation indicates a particle redistribution in the real space induced by the inhomogeneity in the energy space distribution and by the correlation between the change of position and the change of energy.

- Authors:

- Department of Modern Physics, University of Science and Technology of China, Hefei 230026 (China)

- Publication Date:

- OSTI Identifier:
- 22299818

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 7; 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; BOLTZMANN-VLASOV EQUATION; CORRELATIONS; NONLINEAR PROBLEMS; PHASE SPACE; PLASMA; TRANSPORT THEORY; TURBULENCE

### Citation Formats

```
Wang, Shaojie, E-mail: wangsj@ustc.edu.cn.
```*Lie-transform theory of transport in plasma turbulence*. United States: N. p., 2014.
Web. doi:10.1063/1.4890356.

```
Wang, Shaojie, E-mail: wangsj@ustc.edu.cn.
```*Lie-transform theory of transport in plasma turbulence*. United States. doi:10.1063/1.4890356.

```
Wang, Shaojie, E-mail: wangsj@ustc.edu.cn. Tue .
"Lie-transform theory of transport in plasma turbulence". United States.
doi:10.1063/1.4890356.
```

```
@article{osti_22299818,
```

title = {Lie-transform theory of transport in plasma turbulence},

author = {Wang, Shaojie, E-mail: wangsj@ustc.edu.cn},

abstractNote = {From the Vlasov equation, a phase-space transport equation is derived by using the Lie-transform approach, and its connection with the quasilinear transport, nonlinear stochastic transport, and fractional transport equations are discussed. The phase-space transport equation indicates a particle redistribution in the real space induced by the inhomogeneity in the energy space distribution and by the correlation between the change of position and the change of energy.},

doi = {10.1063/1.4890356},

journal = {Physics of Plasmas},

number = 7,

volume = 21,

place = {United States},

year = {Tue Jul 15 00:00:00 EDT 2014},

month = {Tue Jul 15 00:00:00 EDT 2014}

}

DOI: 10.1063/1.4890356

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.