Electromagnetic effect on geodesic acoustic mode with adiabatic electrons

Huang, Wenlong; Ren, Haijun; Xu, X. Q.

doi:10.1063/1.5080271

Electromagnetic effect on geodesic acoustic mode with adiabatic electrons

Journal Article · Tue Feb 05 00:00:00 EST 2019 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.5080271· OSTI ID:1545355

Huang, Wenlong ^[1]; Ren, Haijun ^[2]; ^[3]

Anhui Univ. of Technology, Anhui (China)
Univ. of Science and Technology of China, Hefei (China)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

The geodesic acoustic mode (GAM) is analytically investigated by taking into account the finite-orbit-width (FOW) resonance effect to the second order and the finite β effect. The general dispersion relation is derived from the gyro-kinetic equations in the presence of nonzero δA_∥, the parallel component of the perturbed magnetic vector potential. Transparent and concise expressions for the GAM frequency and Landau damping rate in the presence of the second order FOW effect and finite β effect are first presented. It is clearly shown that the m = ±2 harmonics dominant δA_∥ and the kinetic expression of δA_∥ have the same form as the fluid one. For the real frequency, the electromagnetic effect introduces a term on the order of q²β, which is comparable to the second order electrostatic terms, namely, the terms introduced by the second order FOW resonance effect. While for the collisionless damping rate, δA_∥ does not directly introduce β–dependent terms, but affects the damping rate via modifying the real frequency. Besides, our analytical result shows good agreement with the numerical examinations.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Mound Plant, Miamisburg, OH (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1545355

Alternate ID(s):: OSTI ID: 1569668

Report Number(s):: LLNL-JRNL--789248

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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