# Anomalous transport equations in toroidal plasmas

## Abstract

Reduced transport equations for a toroidal plasma with fluctuations are derived. These equations include the effects of both anomalous and standard neoclassical transport, and allow clarification of the structure of convective fluxes caused by electrostatic and magnetic fluctuations. Special attention is paid to the combined effects of fluctuations and toroidicity on the transport. The formulation retains the effects of a magnetic field inhomogeneity on the anomalous transport. It is shown that phase space diffusion caused by the gradient in the equilibrium magnetic field appears as a pinch flux in the real space.

- Authors:

- Univ. of Saskatchewan, Saskatoon (Canada)
- Univ. of Wisconsin, Madison, WI (United States)

- Publication Date:

- Research Org.:
- Wisconsin Univ., Madison, WI (United States). Center for Plasma Theory and Computation

- Sponsoring Org.:
- USDOE, Washington, DC (United States)

- OSTI Identifier:
- 10137732

- Report Number(s):
- UW-CPTC-94-2

ON: DE94009206; TRN: 94:006648

- DOE Contract Number:
- FG02-86ER53218

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: Mar 1994

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; MAGNETIC CONFINEMENT; NEOCLASSICAL TRANSPORT THEORY; FLUCTUATIONS; TOROIDAL CONFIGURATION; 700330; PLASMA KINETICS, TRANSPORT, AND IMPURITIES

### Citation Formats

```
Smolyakov, A.I., Hirose, A., and Callen, J.D..
```*Anomalous transport equations in toroidal plasmas*. United States: N. p., 1994.
Web. doi:10.2172/10137732.

```
Smolyakov, A.I., Hirose, A., & Callen, J.D..
```*Anomalous transport equations in toroidal plasmas*. United States. doi:10.2172/10137732.

```
Smolyakov, A.I., Hirose, A., and Callen, J.D.. Tue .
"Anomalous transport equations in toroidal plasmas". United States. doi:10.2172/10137732. https://www.osti.gov/servlets/purl/10137732.
```

```
@article{osti_10137732,
```

title = {Anomalous transport equations in toroidal plasmas},

author = {Smolyakov, A.I. and Hirose, A. and Callen, J.D.},

abstractNote = {Reduced transport equations for a toroidal plasma with fluctuations are derived. These equations include the effects of both anomalous and standard neoclassical transport, and allow clarification of the structure of convective fluxes caused by electrostatic and magnetic fluctuations. Special attention is paid to the combined effects of fluctuations and toroidicity on the transport. The formulation retains the effects of a magnetic field inhomogeneity on the anomalous transport. It is shown that phase space diffusion caused by the gradient in the equilibrium magnetic field appears as a pinch flux in the real space.},

doi = {10.2172/10137732},

journal = {},

number = ,

volume = ,

place = {United States},

year = {1994},

month = {3}

}

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