Abstract
The ion temperature gradient (ITG) mode instability in the presence of a meso-scale magnetic island using a gyro-kinetic simulation code is investigated. The difference between a model with full gyro-kinetic effects and one reduced to first order—is emphasized.
We find that a magnetic island causes radial and poloidal modes to couple with each other, thus play a stabilizing role by allowing energy transfer to stable modes. For larger island sizes, new rational surfaces appear, which again may excite destabilization. In contrast to gyro-Ο(1) and gyro-fluid simulations, full gyro-kinetic simulation have a larger mode spectra due to short-wavelength effects, which limits energy transfer and thus stabilization is relaxed.
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Notes
- 1.
J0 is the zeroth-order Bessel function of first kind.
- 2.
I0 is the modified Bessel function of zeroth order and first kind.
- 3.
The magnetic field \( {\mathbf{B}} = (0,\theta, 1) \) and the x-y plane has a constant angle θ.
- 4.
From the rational surface equation \( {k_{\parallel }} = 0 = \hat{s}x{k_y} - \left( {\nabla \times {A_{{1\parallel }}}} \right) \cdot {\mathbf{k}} \).
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Acknowledgments
The author (P.H.) is grateful for the support of the Ministry of Education, Culture, Sports, Science and Technology of Japan via “Energy Science in the Age of Global Warming” of Global Center of Excellence (G-COE) program (J-051).
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Hilscher, P.P., Imadera, K., Li, J., Kishimoto, Y. (2012). Gyro‐Kinetic Simulation of Ion Temperature Gradient Driven Drift Wave Instability in the Presence of a Magnetic Island. In: Yao, T. (eds) Zero-Carbon Energy Kyoto 2011. Green Energy and Technology. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54067-0_35
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DOI: https://doi.org/10.1007/978-4-431-54067-0_35
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-54066-3
Online ISBN: 978-4-431-54067-0
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