# Method to integrate full particle orbit in toroidal plasmas

## Abstract

It is vital to integrate full particle orbit accurately when studying charged particle dynamics in electromagnetic waves with frequency higher than cyclotron frequency. We have derived a form of the Boris scheme using magnetic coordinates, which can be used effectively to integrate the cyclotron orbit in toroidal geometry over a long period of time. The proposed method has been verified by a full particle orbit simulation in toroidal geometry without high frequency waves. The full particle orbit calculation recovers guiding center banana orbit. This approach has better numeric properties than the conventional Runge-Kutta method for conserving particle energy and magnetic moment. The toroidal precession frequency is discovered to match that from guiding center simulation. Many other important phenomena in the presence of an electric field, such as E×B drift, Ware pinch effect and neoclassical polarization drift are also verified by the full orbit simulation.

- Authors:

- Zhejiang Univ., Hangzhou (China)
- Univ. of California, Irvine, CA (United States)

- Publication Date:

- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)

- Sponsoring Org.:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21). Scientific Discovery through Advanced Computing (SciDAC)

- OSTI Identifier:
- 1565343

- Grant/Contract Number:
- 2011GB105001; 2013GB111000; 2015GB110000; 91130031

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Physics of Plasmas

- Additional Journal Information:
- Journal Volume: 22; Journal Issue: 9; Journal ID: ISSN 1070-664X

- Publisher:
- American Institute of Physics (AIP)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY

### Citation Formats

```
Wei, X. S., Xiao, Y., Kuley, A., and Lin, Z. Method to integrate full particle orbit in toroidal plasmas. United States: N. p., 2015.
Web. doi:10.1063/1.4929799.
```

```
Wei, X. S., Xiao, Y., Kuley, A., & Lin, Z. Method to integrate full particle orbit in toroidal plasmas. United States. doi:10.1063/1.4929799.
```

```
Wei, X. S., Xiao, Y., Kuley, A., and Lin, Z. Thu .
"Method to integrate full particle orbit in toroidal plasmas". United States. doi:10.1063/1.4929799. https://www.osti.gov/servlets/purl/1565343.
```

```
@article{osti_1565343,
```

title = {Method to integrate full particle orbit in toroidal plasmas},

author = {Wei, X. S. and Xiao, Y. and Kuley, A. and Lin, Z.},

abstractNote = {It is vital to integrate full particle orbit accurately when studying charged particle dynamics in electromagnetic waves with frequency higher than cyclotron frequency. We have derived a form of the Boris scheme using magnetic coordinates, which can be used effectively to integrate the cyclotron orbit in toroidal geometry over a long period of time. The proposed method has been verified by a full particle orbit simulation in toroidal geometry without high frequency waves. The full particle orbit calculation recovers guiding center banana orbit. This approach has better numeric properties than the conventional Runge-Kutta method for conserving particle energy and magnetic moment. The toroidal precession frequency is discovered to match that from guiding center simulation. Many other important phenomena in the presence of an electric field, such as E×B drift, Ware pinch effect and neoclassical polarization drift are also verified by the full orbit simulation.},

doi = {10.1063/1.4929799},

journal = {Physics of Plasmas},

number = 9,

volume = 22,

place = {United States},

year = {2015},

month = {9}

}

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