# Nonlinear energy principle for model current sheets

## Abstract

It is demonstrated on the basis of exact invariants of nonlinear Vlasov equation and model current sheets that the change in magnetic topology (i.e., reconnection) in a finite closed system leads to the conversion of magnetic-field energy to particle energy. It is also shown that the volume-averaged conversion efficiency diminishes as the spatial average is taken over larger and larger system size, while it increases when the system size becomes smaller. This finding may have an important implication for numerical simulation of reconnection processes under finite geometry.

- Authors:

- Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742-2431 (United States)
- (United States)

- Publication Date:

- OSTI Identifier:
- 20782432

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 13; Journal Issue: 1; Other Information: DOI: 10.1063/1.2151181; (c) 2006 American Institute of Physics; 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; CHARGED-PARTICLE TRANSPORT; COMPUTERIZED SIMULATION; EFFICIENCY; GEOMETRY; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; NONLINEAR PROBLEMS; PLASMA; PLASMA SIMULATION; TOPOLOGY

### Citation Formats

```
Yoon, Peter H., Lui, Anthony T.Y., and Applied Physics Laboratory, Johns Hopkins University, Johns Hopkins Road, Laurel, Maryland 20723-6099.
```*Nonlinear energy principle for model current sheets*. United States: N. p., 2006.
Web. doi:10.1063/1.2151181.

```
Yoon, Peter H., Lui, Anthony T.Y., & Applied Physics Laboratory, Johns Hopkins University, Johns Hopkins Road, Laurel, Maryland 20723-6099.
```*Nonlinear energy principle for model current sheets*. United States. doi:10.1063/1.2151181.

```
Yoon, Peter H., Lui, Anthony T.Y., and Applied Physics Laboratory, Johns Hopkins University, Johns Hopkins Road, Laurel, Maryland 20723-6099. Sun .
"Nonlinear energy principle for model current sheets". United States.
doi:10.1063/1.2151181.
```

```
@article{osti_20782432,
```

title = {Nonlinear energy principle for model current sheets},

author = {Yoon, Peter H. and Lui, Anthony T.Y. and Applied Physics Laboratory, Johns Hopkins University, Johns Hopkins Road, Laurel, Maryland 20723-6099},

abstractNote = {It is demonstrated on the basis of exact invariants of nonlinear Vlasov equation and model current sheets that the change in magnetic topology (i.e., reconnection) in a finite closed system leads to the conversion of magnetic-field energy to particle energy. It is also shown that the volume-averaged conversion efficiency diminishes as the spatial average is taken over larger and larger system size, while it increases when the system size becomes smaller. This finding may have an important implication for numerical simulation of reconnection processes under finite geometry.},

doi = {10.1063/1.2151181},

journal = {Physics of Plasmas},

number = 1,

volume = 13,

place = {United States},

year = {Sun Jan 15 00:00:00 EST 2006},

month = {Sun Jan 15 00:00:00 EST 2006}

}

DOI: 10.1063/1.2151181

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