Explicit dispersion relations for warm fluid waves in a uniform plasma (invited)

Lee, Min Uk; Yun, Gunsu S.; Ji, Jeong-Young

doi:10.1007/s40042-023-00736-7

Title: Explicit dispersion relations for warm fluid waves in a uniform plasma (invited)

Journal Article · Mon Feb 27 00:00:00 EST 2023 · Journal of the Korean Physical Society

DOI:https://doi.org/10.1007/s40042-023-00736-7· OSTI ID:1991363

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Utah State University, Logan, UT (United States)
Pohang University of Science and Technology, Gyeongbuk (Korea, Republic of)

Classical dispersion relations for waves in a fluid plasma are expressed as implicit functions of wave frequency and wave- number. The implicit dispersion relation must in general be solved numerically. This work introduces an astute method for obtaining an explicit dispersion relation for waves in a fluid plasma. The explicit expression has an advantage of providing eigenmodes without numerical computations and giving a dispersion relation more detailed than the implicit expression. As in the case of cold waves, the wavenumber for an arbitrary frequency can be directly obtained from the explicit formula. The explicit formula also enables an accurate evaluation of finite-temperature effects on a dispersion relation even near the cyclotron resonance, where a numerical analysis of the implicit relation is impractical. As a result, the analytic formula can be used to investigate temperature effects on electromagnetic waves.

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Research Organization:: Utah State Univ., Logan, UT (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES); National Research Foundation of Korea (NRF)

Grant/Contract Number:: SC0022048; FG02-04ER54746; NRF-2019M1A7A1A03088456

OSTI ID:: 1991363

Journal Information:: Journal of the Korean Physical Society, Vol. 82, Issue 8; ISSN 0374-4884

Publisher:: Korean Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (22)

Evidence for electron Landau damping in space plasma turbulence Chen, C. H. K.; Klein, K. G.; Howes, G. G. Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-08435-3	journal	February 2019
Computational studies on scattering of radio frequency waves by density filaments in fusion plasmas Ioannidis, Zisis C.; Ram, Abhay K.; Hizanidis, Kyriakos Physics of Plasmas, Vol. 24, Issue 10 https://doi.org/10.1063/1.4992032	journal	October 2017
Exact linearized Coulomb collision operator in the moment expansion Ji, Jeong-Young; Held, Eric D. Physics of Plasmas, Vol. 13, Issue 10 https://doi.org/10.1063/1.2356320	journal	October 2006
Intense whistler-frequency emissions at the pedestal collapse in KSTAR H-mode plasmas Kim, M. H.; Thatipamula, S. G.; Kim, J. Nuclear Fusion, Vol. 60, Issue 12 https://doi.org/10.1088/1741-4326/abb25c	journal	October 2020
Landau damping: half a century with the great discovery Ryutov, D. D. Plasma Physics and Controlled Fusion, Vol. 41, Issue 3A https://doi.org/10.1088/0741-3335/41/3A/001	journal	January 1999
The Dispersion Relations and Instability Thresholds of Oblique Plasma Modes in the Presence of an ion beam Verscharen, Daniel; Chandran, Benjamin D. G. The Astrophysical Journal, Vol. 764, Issue 1 https://doi.org/10.1088/0004-637X/764/1/88	journal	January 2013
A possible excitation mechanism for observed superthermal ion cyclotron emission from tokamak plasmas Dendy, R. O.; Lashmore‐Davies, C. N.; Kam, K. F. Physics of Fluids B: Plasma Physics, Vol. 4, Issue 12 https://doi.org/10.1063/1.860304	journal	December 1992
Compressional Alfvén and ion–ion hybrid waves in tokamak plasmas with two ion species Oliver, H. J. C.; Sharapov, S. E.; Akers, R. Plasma Physics and Controlled Fusion, Vol. 56, Issue 12 https://doi.org/10.1088/0741-3335/56/12/125017	journal	November 2014
Kinetic theory of electrostatic waves nonlinear coupling in the magnetized plasma in presence of extraordinary pump wave Gusakov, E. Z.; Popov, A. Yu; Tretinnikov, P. V. Plasma Physics and Controlled Fusion, Vol. 61, Issue 8 https://doi.org/10.1088/1361-6587/ab2180	journal	June 2019
Nonlinear harmonics coupled by parallel wave propagations in a time-dependent plasma flow Uk Lee, Min; Yun, Gunsu S.; Ji, Jeong-Young Plasma Physics and Controlled Fusion, Vol. 64, Issue 5 https://doi.org/10.1088/1361-6587/ac57cd	journal	March 2022
Cold-hot coupled waves in a flowing magnetized plasma Uk Lee, Min; Ji, Jeong-Young; Yun, Gunsu S. Nuclear Fusion, Vol. 60, Issue 12 https://doi.org/10.1088/1741-4326/abb61a	journal	October 2020
Algorithm 916: Computing the Faddeyeva and Voigt Functions Zaghloul, Mofreh R.; Ali, Ahmed N. ACM Transactions on Mathematical Software, Vol. 38, Issue 2 https://doi.org/10.1145/2049673.2049679	journal	December 2011
Using the cold plasma dispersion relation and whistler mode waves to quantify the antenna sheath impedance of the Van Allen Probes EFW instrument: SHEATH IMPEDANCE OF VAN ALLEN PROBES EFW Hartley, D. P.; Kletzing, C. A.; Kurth, W. S. Journal of Geophysical Research: Space Physics, Vol. 121, Issue 5 https://doi.org/10.1002/2016JA022501	journal	May 2016
Statistical theory of electromagnetic weak turbulence Yoon, Peter H. Physics of Plasmas, Vol. 13, Issue 2 https://doi.org/10.1063/1.2167587	journal	February 2006
Improved basis set for low frequency plasma waves: LOW FREQUENCY WAVE IMPROVED BASIS Bellan, P. M. Journal of Geophysical Research: Space Physics, Vol. 117, Issue A12 https://doi.org/10.1029/2012JA017856	journal	December 2012
High-frequency Alfvén waves in multi-ion coronal plasma: Observational implications: HIGH-FREQUENCY ALFVÉN WAVES IN MULTI-ION PLASMA Ofman, L.; Davila, J. M.; Nakariakov, V. M. Journal of Geophysical Research: Space Physics, Vol. 110, Issue A9 https://doi.org/10.1029/2004JA010969	journal	September 2005
Multidimensional electron beam-plasma instabilities in the relativistic regime Bret, A.; Gremillet, L.; Dieckmann, M. E. Physics of Plasmas, Vol. 17, Issue 12 https://doi.org/10.1063/1.3514586	journal	December 2010
Electromagnetic wave transparency of X mode in strongly magnetized plasma Mandal, Devshree; Vashistha, Ayushi; Das, Amita Scientific Reports, Vol. 11, Issue 1 https://doi.org/10.1038/s41598-021-94029-3	journal	July 2021
Waves in a Plasma in a Magnetic Field Bernstein, Ira B. Physical Review, Vol. 109, Issue 1 https://doi.org/10.1103/PhysRev.109.10	journal	January 1958
The exact plasma dispersion functions in the complex region Castejon, F.; Pavlov, S. S. Nuclear Fusion, Vol. 48, Issue 5 https://doi.org/10.1088/0029-5515/48/5/054003	journal	April 2008
Dispersion relation and instability for an anisotropic nonuniform flowing plasma Lee, Min Uk; Yun, Gunsu S.; Ji, Jeong-Young Plasma Physics and Controlled Fusion, Vol. 64, Issue 12 https://doi.org/10.1088/1361-6587/ac95c5	journal	October 2022
Contemporary particle-in-cell approach to laser-plasma modelling Arber, T. D.; Bennett, K.; Brady, C. S. Plasma Physics and Controlled Fusion, Vol. 57, Issue 11 https://doi.org/10.1088/0741-3335/57/11/113001	journal	September 2015

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