The two-dimensional kinetic ballooning theory for ion temperature gradient mode in tokamak

Xie, T.; Zhang, Y. Z.; Mahajan, S. M.; Hu, S. L.; He, Hongda; Liu, Z. Y.

doi:10.1063/1.5003652

Title: The two-dimensional kinetic ballooning theory for ion temperature gradient mode in tokamak

Journal Article · Fri Sep 22 00:00:00 EDT 2017 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.5003652· OSTI ID:1523476

^[1]; Zhang, Y. Z. ^[2]; Mahajan, S. M. ^[3];

^[4]; He, Hongda ^[4]; Liu, Z. Y. ^[5]

Sichuan Univ. of Science and Engineering, Zigong (China). Dept. of Physics
Chinese Academy of Sciences (CAS), Hefei (China). Center for Magnetic Fusion Theory
Univ. of Texas, Austin, TX (United States). Inst. for Fusion Studies
Southwestern Inst. of Physics, Chengdu (China)
Univ. of Science and Technology of China, Hefei (China). Dept. of Modern Physics

The two-dimensional (2D) kinetic ballooning theory is developed for the ion temperature gradient mode in an up-down symmetric equilibrium (illustrated via concentric circular magnetic surfaces). The ballooning transform converts the basic 2D linear gyro-kinetic equation into two equations: (1) the lowest order equation (ballooning equation) is an integral equation essentially the same as that reported by Dong et al., [Phys. Fluids B 4, 1867 (1992)] but has an undetermined Floquet phase variable, (2) the higher order equation for the rapid phase envelope is an ordinary differential equation in the same form as the 2D ballooning theory in a fluid model [Xie et al., Phys. Plasmas 23, 042514 (2016)]. The system is numerically solved by an iterative approach to obtain the (phase independent) eigen-value. The new results are compared here to the two earlier theories. We find a strongly modified up-down asymmetric mode structure, and non-trivial modifications to the eigen-value.

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Research Organization:: Univ. of Texas, Austin, TX (United States); Sichuan Univ. of Science and Engineering, Zigong (China); Chinese Academy of Sciences (CAS), Hefei (China); Univ. of Science and Technology of China, Hefei (China); Southwestern Institute of Physics, Chengdu (China)

Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES); Key Research Program of Frontier Sciences CAS (China); National Magnetic Confinement Fusion Energy Research Project (China); National Natural Science Foundation of China (NSFC); Foundation of Sichuan Univ. of Science and Engineering (China); Scientific Research Fund of the Sichuan Provincial Education Dept. (China)

Grant/Contract Number:: FG02-04ER54742; QYZDB-SSWSYS004; 2015GB104004; 2015GB111003; 2013GB112009; 11575185; 11575186; 2016RCL21; 17ZA0281

OSTI ID:: 1523476

Alternate ID(s):: OSTI ID: 1394010

Journal Information:: Physics of Plasmas, Vol. 24, Issue 10; ISSN 1070-664X

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

Country of Publication:: United States

Language:: English

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Cited by: 2 works

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Cited By (2)

A theory of self-organized zonal flow with fine radial structure in tokamak Zhang, Y. Z.; Liu, Z. Y.; Xie, T. Physics of Plasmas, Vol. 24, Issue 12 https://doi.org/10.1063/1.4995302	journal	December 2017
The two-dimensional kinetic ballooning theory for trapped electron mode in tokamak Xie, T.; Zhang, Y. Z.; Mahajan, S. M. Physics of Plasmas, Vol. 26, Issue 2 https://doi.org/10.1063/1.5048538	journal	February 2019

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Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
integral transforms
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