# Resonances between high energy particles and ideal magnetohydrodynamic modes in tokamaks

## Abstract

Particle trajectory surfaces in an ideal magnetohydrodynamic high energy particle resonance are studied using kinetic Poincaré plots and through a calculation by perturbing near the resonance and finding canonical variables in the resonance, allowing the study of the distortion of the structure from that of a simple pendulum and to assist in the construction of models for the modification of particle distributions due to the modes. As a result, it is found that the narrow structure of an ideal mode eigenfunction can lead to a significant decrease in the resonance width compared to a case in which the eigenfunction does not vary within the resonant island.

- Authors:

- Princeton Univ., Princeton, NJ (United States)
- Univ. of Texas, Austin, TX (United States)

- Publication Date:

- Research Org.:
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1480329

- Grant/Contract Number:
- [AC02-09CH11466]

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Physics of Plasmas

- Additional Journal Information:
- [ Journal Volume: 25; Journal Issue: 10]; 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

```
White, R. B., Gorelenkov, N. N., Duarte, V. N., and Berk, H. L. Resonances between high energy particles and ideal magnetohydrodynamic modes in tokamaks. United States: N. p., 2018.
Web. doi:10.1063/1.5046655.
```

```
White, R. B., Gorelenkov, N. N., Duarte, V. N., & Berk, H. L. Resonances between high energy particles and ideal magnetohydrodynamic modes in tokamaks. United States. doi:10.1063/1.5046655.
```

```
White, R. B., Gorelenkov, N. N., Duarte, V. N., and Berk, H. L. Wed .
"Resonances between high energy particles and ideal magnetohydrodynamic modes in tokamaks". United States. doi:10.1063/1.5046655. https://www.osti.gov/servlets/purl/1480329.
```

```
@article{osti_1480329,
```

title = {Resonances between high energy particles and ideal magnetohydrodynamic modes in tokamaks},

author = {White, R. B. and Gorelenkov, N. N. and Duarte, V. N. and Berk, H. L.},

abstractNote = {Particle trajectory surfaces in an ideal magnetohydrodynamic high energy particle resonance are studied using kinetic Poincaré plots and through a calculation by perturbing near the resonance and finding canonical variables in the resonance, allowing the study of the distortion of the structure from that of a simple pendulum and to assist in the construction of models for the modification of particle distributions due to the modes. As a result, it is found that the narrow structure of an ideal mode eigenfunction can lead to a significant decrease in the resonance width compared to a case in which the eigenfunction does not vary within the resonant island.},

doi = {10.1063/1.5046655},

journal = {Physics of Plasmas},

number = [10],

volume = [25],

place = {United States},

year = {2018},

month = {10}

}

Other availability

Cited by: 4 works

*Citation information provided by*

Web of Science

Web of Science

#### Figures / Tables:

FIG. 1: Kinetic Poincaré plots in normalized poloidal flux $ψ_p$ and in the canonical toroidal momentum $P_ζ$ for amplitude $A$ = 2 × 10

^{−5}, $m$ = 8, $l$ = 7, showing also the poloidal flux variation due to particle drift.
All figures and tables
(10 total)

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Figures / Tables found in this record:

*Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.*