# Resonance frequency broadening of wave-particle interaction in tokamaks due to Alfvénic eigenmode

## Abstract

We use the guiding center code ORBIT to study the broadening of resonances and the parametric dependence of the resonance frequency broadening width $$\Delta\Omega$$ on the nonlinear particle trapping frequency $$\omega_b$$ of wave-particle interaction with specific examples using realistic equilibrium DIII-D shot 159243 (Collins et al. 2016 Phys. Rev. Lett. 116 095001). When the mode amplitude is small, the pendulum approximation for energetic particle dynamics near the resonance is found to be applicable and the ratio of the resonance frequency width to the deeply trapped bounce frequency $$\Delta\Omega/\omega_b$$ equals 4, as predicted by theory. Lastly, it is found that as the mode amplitude increases, the coefficient $$a=\Delta\Omega/\omega_b$$ becomes increasingly smaller because of the breaking down of the nonlinear pendulum approximation for the wave-particle interaction.

- Authors:

- Peking Univ., Beijing (China). School of Physics, Fusion Simulation Center and State Key Lab. of Nuclear Physics and Technology
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- Univ. of Texas, Austin, TX (United States). Inst. for Fusion Studies
- Harbin Inst. of Technology (China)

- Publication Date:

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

- Sponsoring Org.:
- USDOE; National Natural Science Foundation of China (NNSFC)

- OSTI Identifier:
- 1425207

- Grant/Contract Number:
- 2012/22830-2; 2014/03289-4; JCKY2016212A505; AC02-09CH11466; FC02-04ER54698; 2013GB11001; 2014GB107004; 11261140326; 41674165

- Resource Type:
- Journal Article: Accepted Manuscript

- Journal Name:
- Nuclear Fusion

- Additional Journal Information:
- Journal Name: Nuclear Fusion; Journal ID: ISSN 0029-5515

- Publisher:
- IOP Science

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; wave-particle interaction; RSAE; DIII-D; Resonance broadening

### Citation Formats

```
Meng, Guo, Gorelenkov, Nikolai N., Duarte, Vinicius N., Berk, Herb L., White, Roscoe B., and Wang, Xiaogang.
```*Resonance frequency broadening of wave-particle interaction in tokamaks due to Alfvénic eigenmode*. United States: N. p., 2018.
Web. doi:10.1088/1741-4326/aaa918.

```
Meng, Guo, Gorelenkov, Nikolai N., Duarte, Vinicius N., Berk, Herb L., White, Roscoe B., & Wang, Xiaogang.
```*Resonance frequency broadening of wave-particle interaction in tokamaks due to Alfvénic eigenmode*. United States. doi:10.1088/1741-4326/aaa918.

```
Meng, Guo, Gorelenkov, Nikolai N., Duarte, Vinicius N., Berk, Herb L., White, Roscoe B., and Wang, Xiaogang. Fri .
"Resonance frequency broadening of wave-particle interaction in tokamaks due to Alfvénic eigenmode". United States.
doi:10.1088/1741-4326/aaa918.
```

```
@article{osti_1425207,
```

title = {Resonance frequency broadening of wave-particle interaction in tokamaks due to Alfvénic eigenmode},

author = {Meng, Guo and Gorelenkov, Nikolai N. and Duarte, Vinicius N. and Berk, Herb L. and White, Roscoe B. and Wang, Xiaogang},

abstractNote = {We use the guiding center code ORBIT to study the broadening of resonances and the parametric dependence of the resonance frequency broadening width $\Delta\Omega$ on the nonlinear particle trapping frequency $\omega_b$ of wave-particle interaction with specific examples using realistic equilibrium DIII-D shot 159243 (Collins et al. 2016 Phys. Rev. Lett. 116 095001). When the mode amplitude is small, the pendulum approximation for energetic particle dynamics near the resonance is found to be applicable and the ratio of the resonance frequency width to the deeply trapped bounce frequency $\Delta\Omega/\omega_b$ equals 4, as predicted by theory. Lastly, it is found that as the mode amplitude increases, the coefficient $a=\Delta\Omega/\omega_b$ becomes increasingly smaller because of the breaking down of the nonlinear pendulum approximation for the wave-particle interaction.},

doi = {10.1088/1741-4326/aaa918},

journal = {Nuclear Fusion},

number = ,

volume = ,

place = {United States},

year = {Fri Jan 19 00:00:00 EST 2018},

month = {Fri Jan 19 00:00:00 EST 2018}

}