The two-dimensional kinetic ballooning theory for trapped electron mode in tokamak

Xie, T.; Zhang, Y. Z.; Mahajan, S. M.; Wu, F.; He, Hongda; Liu, Z. Y.

doi:10.1063/1.5048538

Title: The two-dimensional kinetic ballooning theory for trapped electron mode in tokamak

Journal Article · 03 February 2019 · Physics of Plasmas

DOI: https://doi.org/10.1063/1.5048538 · OSTI ID:1609567

^[1]; Zhang, Y. Z. ^[2];

^[3]; Wu, F. ^[4]; He, Hongda ^[5]; Liu, Z. Y. ^[6]

Sichuan Univ. of Science & Engineering (China); DOE/OSTI
Chinese Academy of Sciences (CAS), Beijing (China)
Univ. of Texas, Austin, TX (United States)
Sichuan Univ. of Science & Engineering (China)
Southwestern Inst. of Physics, Sichuan (China)
Univ. of Science and Technology of China, Hefei, Anhui (China)

The two-dimensional (2D) kinetic theory for a collisionless trapped electron mode is developed based on the Fourier-ballooning transform in an up-down symmetric equilibrium (illustrated via concentric circular magnetic surfaces). The system consists of two equations: the ballooning (integral) equation with a parameterized Floquet phase and a second order differential equation for the distribution of the Floquet phase. The coupled equations are, then, numerically solved as an eigenvalue problem yielding the 2D mode structure (in real space) as well as the global (phase-independent) eigenvalue for an L-mode parameter set. The 2D mode structure exhibits apparent radial-poloidal asymmetry; due to the poloidal coupling, the radial correlation length is found to be, at least, twice as large as the poloidal one. The global (phase-independent) eigenvalue of the mode differs considerably from the conventional local (phase-dependent) estimate. Finally, this paper shares many technical aspects with a published paper that works out the 2D kinetic theory for the ion temperature gradient mode [Xie et al., Phys. Plasmas 24, 102506 (2017)]

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Research Organization:: Univ. of Texas, Austin, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC); Foundation of Sichuan Univ. of Science and Engineering; Sichuan Provincial Education Department

Grant/Contract Number:: FG02-04ER54742

OSTI ID:: 1609567

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 2 Vol. 26; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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