Global geodesic acoustic mode in an ideal magnetohydrodynamic tokamak plasma

Ren, Haijun; Wei, Lai; Zhang, Debing; Xu, X. Q.

doi:10.1063/1.5139103

Global geodesic acoustic mode in an ideal magnetohydrodynamic tokamak plasma

Journal Article · Wed Apr 01 00:00:00 EDT 2020 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.5139103· OSTI ID:1959671

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Univ. of Science and Technology of China, Anhui (China); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Dalian Univ. of Technology (China)
East China Univ. of Science and Technology, Shanghai (China)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

A concise and transparent second order ordinary differential equation (ODE) describing the radial structure of the global geodesic acoustic mode (GAM) is analytically presented in a low-β tokamak plasma. The large-aspect-ratio and circular cross section are assumed to linearize the ideal magnetohydrodynamic equations. We show clearly how finite β-dependent terms affect the global GAM frequency and radial mode structure. Here, a typical Wentzel–Kramers–Brillouin form of solution is found for some reversed shear equilibria. For some other equilibria with lower β, even also in a reversed shear tokamak, the GAM continuum is upraised by the high order β-dependent terms so that its maximum is beyond ω_G, where ω_G is the classical local frequency of GAM. As a result, no self-consistent solution to the ODE can be found.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: China National Magnetic Confinement Fusion Energy Research Project; Fundamental Research Funds for the Central Universities; National Natural Science Foundation of China; USDOE; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1959671

Alternate ID(s):: OSTI ID: 1607949

Report Number(s):: LLNL-JRNL-844698; 1068122

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 4 Vol. 27; ISSN 1070-664X

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

Country of Publication:: United States

Language:: English

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