Analytical collisionless damping rate of geodesic acoustic mode
Abstract
Collisionless damping of geodesic acoustic mode (GAM) is analytically investigated by considering the finite-orbit-width (FOW) resonance effect to the 3rd order in the gyro-kinetic equations. Here, a concise and transparent expression for the damping rate is presented for the first time. Good agreement is found between the analytical damping rate and the previous TEMPEST simulation result (Xu 2008 et al Phys. Rev. Lett. 100 215001) for systematic q scans. Our result also shows that it is of sufficient accuracy and has to take into account the FOW effect to the 3rd order.
- Authors:
-
- Univ. of Science and Technology of China, Hefei (People's Republic of China)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1566007
- Report Number(s):
- LLNL-JRNL-690159
Journal ID: ISSN 0029-5515; 818069; TRN: US2000954
- Grant/Contract Number:
- AC52-07NA27344
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nuclear Fusion
- Additional Journal Information:
- Journal Volume: 56; Journal Issue: 10; Journal ID: ISSN 0029-5515
- Publisher:
- IOP Science
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; geodesic acoustic mode; collisionless; Landau damping
Citation Formats
Ren, H., and Xu, X. Q. Analytical collisionless damping rate of geodesic acoustic mode. United States: N. p., 2016.
Web. doi:10.1088/0029-5515/56/10/106008.
Ren, H., & Xu, X. Q. Analytical collisionless damping rate of geodesic acoustic mode. United States. https://doi.org/10.1088/0029-5515/56/10/106008
Ren, H., and Xu, X. Q. Tue .
"Analytical collisionless damping rate of geodesic acoustic mode". United States. https://doi.org/10.1088/0029-5515/56/10/106008. https://www.osti.gov/servlets/purl/1566007.
@article{osti_1566007,
title = {Analytical collisionless damping rate of geodesic acoustic mode},
author = {Ren, H. and Xu, X. Q.},
abstractNote = {Collisionless damping of geodesic acoustic mode (GAM) is analytically investigated by considering the finite-orbit-width (FOW) resonance effect to the 3rd order in the gyro-kinetic equations. Here, a concise and transparent expression for the damping rate is presented for the first time. Good agreement is found between the analytical damping rate and the previous TEMPEST simulation result (Xu 2008 et al Phys. Rev. Lett. 100 215001) for systematic q scans. Our result also shows that it is of sufficient accuracy and has to take into account the FOW effect to the 3rd order.},
doi = {10.1088/0029-5515/56/10/106008},
journal = {Nuclear Fusion},
number = 10,
volume = 56,
place = {United States},
year = {Tue Aug 09 00:00:00 EDT 2016},
month = {Tue Aug 09 00:00:00 EDT 2016}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Cited by: 7 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Multiple eigenmodes of geodesic acoustic mode in collisionless plasmas
journal, October 2006
- Gao, Zhe; Itoh, K.; Sanuki, H.
- Physics of Plasmas, Vol. 13, Issue 10
Tempest Simulations of Collisionless Damping of the Geodesic-Acoustic Mode in Edge-Plasma Pedestals
journal, May 2008
- Xu, X. Q.; Xiong, Z.; Gao, Z.
- Physical Review Letters, Vol. 100, Issue 21
Variational derivation of the dispersion relation of kinetic coherent modes in the acoustic frequency range in tokamaks
journal, November 2008
- Nguyen, C.; Garbet, X.; Smolyakov, A. I.
- Physics of Plasmas, Vol. 15, Issue 11
Dynamics of axisymmetric and poloidal flows in tokamaks
journal, January 1999
- Hinton, F. L.; Rosenbluth, M. N.
- Plasma Physics and Controlled Fusion, Vol. 41, Issue 3A
Landau damping of geodesic acoustic mode in toroidally rotating tokamaks
journal, June 2015
- Ren, Haijun; Cao, Jintao
- Physics of Plasmas, Vol. 22, Issue 6
Turbulent Transport Reduction by Zonal Flows: Massively Parallel Simulations
journal, September 1998
- Lin, Z.
- Science, Vol. 281, Issue 5384
Radial structures and nonlinear excitation of geodesic acoustic modes
journal, July 2008
- Zonca, F.; Chen, L.
- EPL (Europhysics Letters), Vol. 83, Issue 3
Zonal flows in the geodesic acoustic mode frequency range in the JIPP T-IIU tokamak plasmas
journal, January 2005
- Hamada, Y.; Nishizawa, A.; Ido, T.
- Nuclear Fusion, Vol. 45, Issue 2
Excitation of geodesic acoustic mode in toroidal plasmas
journal, February 2005
- Itoh, K.; Hallatschek, K.; Itoh, S-I
- Plasma Physics and Controlled Fusion, Vol. 47, Issue 3
Numerical validation of the electromagnetic gyrokinetic code NEMORB on global axisymmetric modes
journal, October 2014
- Biancalani, A.; Bottino, A.; Lauber, Ph.
- Nuclear Fusion, Vol. 54, Issue 10
Geodesic Acoustic Mode Induced by Toroidal Rotation in Tokamaks
journal, September 2008
- Wahlberg, C.
- Physical Review Letters, Vol. 101, Issue 11
Toroidal Symmetry of the Geodesic Acoustic Mode Zonal Flow in a Tokamak Plasma
journal, June 2006
- Zhao, K. J.; Lan, T.; Dong, J. Q.
- Physical Review Letters, Vol. 96, Issue 25
Self-organization of electrostatic turbulence in a cylindrical plasma
journal, October 1987
- Hasegawa, Akira; Wakatani, Masahiro
- Physical Review Letters, Vol. 59, Issue 14
Trapped electron damping of geodesic acoustic mode
journal, July 2010
- Zhang, H. S.; Lin, Z.
- Physics of Plasmas, Vol. 17, Issue 7
Collisionless damping of geodesic acoustic modes
journal, December 2006
- Sugama, H.; Watanabe, T. -H.
- Journal of Plasma Physics, Vol. 72, Issue 06
Eigenmode analysis of geodesic acoustic modes
journal, July 2008
- Gao, Zhe; Itoh, K.; Sanuki, H.
- Physics of Plasmas, Vol. 15, Issue 7
Geodesic Acoustic Waves in Hydromagnetic Systems
journal, January 1968
- Winsor, Niels
- Physics of Fluids, Vol. 11, Issue 11
Works referencing / citing this record:
Electromagnetic effect on geodesic acoustic mode with adiabatic electrons
journal, February 2019
- Huang, Wenlong; Ren, Haijun; Xu, X. Q.
- Physics of Plasmas, Vol. 26, Issue 2