Numerical studies on the linear and nonlinear evolution of infernal modes

Abstract The present paper numerically investigates the linear and nonlinear evolution of infernal modes through a three-dimensional, toroidal geometric, nonlinear, and full-MHD code CLT. For equilibria with q min ≈ 2.0, the development of the infernal modes leads to an elongated high-pressure region. We find that the nonlinear behaviors of the infernal modes can be totally different when the parallel thermal conductivity exceeds a threshold. Below this threshold, the infernal modes experience explosive growth in the nonlinear stage; above this threshold, they finally saturate in the nonlinear phase. For the cases with nonlinearly explosive growth, the patterns of the perturbed pressure are ‘ballooning-like’ and the dominant modes are with n>1, where n is the toroidal mode number. When the parallel thermal conductivity exceeds the threshold, the parallel diffusion along the magnetic field lines is quick enough. Then the nonlinearly explosive growth is suppressed, and the infernal mode will saturate in the nonlinear stage. A 2-D parameter map is provided to illustrate the transition between these distinct nonlinear regimes.

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Publication Details

Journal
Chinese Physics B
Published
2025-10-07
DOI
https://doi.org/10.1088/1674-1056/ae1016
Primary Topic
Vibration and Dynamic Analysis
Type
article
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article

Numerical studies on the linear and nonlinear evolution of infernal modes

Zixi Liu, Pai Li, Feifei Long, Jinlin Xie et al.
Chinese Physics B
Vibration and Dynamic Analysis
article

Numerical studies on the linear and nonlinear evolution of infernal modes

Zixi Liu, Pai Li, Feifei Long, Jinlin Xie, A. D. Liu, Wenzhe Mao, R. Z. Hu, Wandong Liu, Zhiwei Ma, Weixing Ding, Kangning Yang, Hongbin Li, Jiahui Li, Wei Zhang, Yatian Zhao, Tian Lan, G. Zhuang, X. Y. Yin, Changzheng Deng, Chuyu Zhou
article en

Abstract

Abstract The present paper numerically investigates the linear and nonlinear evolution of infernal modes through a three-dimensional, toroidal geometric, nonlinear, and full-MHD code CLT. For equilibria with q min ≈ 2.0, the development of the infernal modes leads to an elongated high-pressure region. We find that the nonlinear behaviors of the infernal modes can be totally different when the parallel thermal conductivity exceeds a threshold. Below this threshold, the infernal modes experience explosive growth in the nonlinear stage; above this threshold, they finally saturate in the nonlinear phase. For the cases with nonlinearly explosive growth, the patterns of the perturbed pressure are ‘ballooning-like’ and the dominant modes are with n>1, where n is the toroidal mode number. When the parallel thermal conductivity exceeds the threshold, the parallel diffusion along the magnetic field lines is quick enough. Then the nonlinearly explosive growth is suppressed, and the infernal mode will saturate in the nonlinear stage. A 2-D parameter map is provided to illustrate the transition between these distinct nonlinear regimes.

Chinese Physics B
University of Science and Technology of China (CN), Plasma Technology (United States) (US), Zhejiang University (CN)
Openalex Percentile: Top 65%
Vibration and Dynamic Analysis
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