The twodimensional kinetic ballooning theory for ion temperature gradient mode in tokamak
Abstract
The twodimensional (2D) kinetic ballooning theory is developed for the ion temperature gradient mode in an updown symmetric equilibrium (illustrated via concentric circular magnetic surfaces). The ballooning transform converts the basic 2D linear gyrokinetic 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) eigenvalue. The new results are compared here to the two earlier theories. We find a strongly modified updown asymmetric mode structure, and nontrivial modifications to the eigenvalue.
 Authors:

 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
 Publication Date:
 Research Org.:
 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 Inst. of Physics, Chengdu (China)
 Sponsoring Org.:
 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 (NNSFC); Foundation of Sichuan Univ. of Science and Engineering (China); Scientific Research Fund of the Sichuan Provincial Education Dept. (China)
 OSTI Identifier:
 1523476
 Alternate Identifier(s):
 OSTI ID: 1394010
 Grant/Contract Number:
 FG0204ER54742; QYZDBSSWSYS004; 2015GB104004; 2015GB111003; 2013GB112009; 11575185; 11575186; 2016RCL21; 17ZA0281
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 24; Journal Issue: 10; Journal ID: ISSN 1070664X
 Publisher:
 American Institute of Physics (AIP)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; integral transforms; plasma confinement; integral equations; spectral methods; tokamaks; functional equations; Newtonian mechanics; weight function; order theory; turbulence simulations
Citation Formats
Xie, T., Zhang, Y. Z., Mahajan, S. M., Hu, S. L., He, Hongda, and Liu, Z. Y. The twodimensional kinetic ballooning theory for ion temperature gradient mode in tokamak. United States: N. p., 2017.
Web. https://doi.org/10.1063/1.5003652.
Xie, T., Zhang, Y. Z., Mahajan, S. M., Hu, S. L., He, Hongda, & Liu, Z. Y. The twodimensional kinetic ballooning theory for ion temperature gradient mode in tokamak. United States. https://doi.org/10.1063/1.5003652
Xie, T., Zhang, Y. Z., Mahajan, S. M., Hu, S. L., He, Hongda, and Liu, Z. Y. Fri .
"The twodimensional kinetic ballooning theory for ion temperature gradient mode in tokamak". United States. https://doi.org/10.1063/1.5003652. https://www.osti.gov/servlets/purl/1523476.
@article{osti_1523476,
title = {The twodimensional kinetic ballooning theory for ion temperature gradient mode in tokamak},
author = {Xie, T. and Zhang, Y. Z. and Mahajan, S. M. and Hu, S. L. and He, Hongda and Liu, Z. Y.},
abstractNote = {The twodimensional (2D) kinetic ballooning theory is developed for the ion temperature gradient mode in an updown symmetric equilibrium (illustrated via concentric circular magnetic surfaces). The ballooning transform converts the basic 2D linear gyrokinetic 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) eigenvalue. The new results are compared here to the two earlier theories. We find a strongly modified updown asymmetric mode structure, and nontrivial modifications to the eigenvalue.},
doi = {10.1063/1.5003652},
journal = {Physics of Plasmas},
number = 10,
volume = 24,
place = {United States},
year = {2017},
month = {9}
}
Web of Science
Figures / Tables:
Works referenced in this record:
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Works referencing / citing this record:
A theory of selforganized zonal flow with fine radial structure in tokamak
journal, December 2017
 Zhang, Y. Z.; Liu, Z. Y.; Xie, T.
 Physics of Plasmas, Vol. 24, Issue 12
The twodimensional kinetic ballooning theory for trapped electron mode in tokamak
journal, February 2019
 Xie, T.; Zhang, Y. Z.; Mahajan, S. M.
 Physics of Plasmas, Vol. 26, Issue 2
Figures / Tables found in this record: