On cyclotron damping of longitudinal wave
- Authors: Karnilovich S.P.1, Lovetskiy K.P.1, Sevastianov L.A.1,2, Strashnova S.B.1, Shaar Y.N.1
-
Affiliations:
- RUDN University
- Joint Institute for Nuclear Research
- Issue: Vol 32, No 1 (2024)
- Pages: 122-127
- Section: Articles
- URL: https://journals.rudn.ru/miph/article/view/40106
- DOI: https://doi.org/10.22363/2658-4670-2024-32-1-122-127
- EDN: https://elibrary.ru/BBLNGK
Cite item
Full Text
Abstract
Average equations of motion of relativistic charged particles in the field of HF (high frequency) wave packets are obtained in the range of cyclotron resonance in the case of strong LF (low frequency) electric field. Strong electric field means that the characteristic velocity of the particle comparable with the electric drift velocity \((v \sim v_E)\). It is shown that with taking into account the electric drift velocity, new mechanisms of damping of longitudinal waves become possible. The effect of a strong electrostatic field on the resonant interaction of relativistic particles with high-frequency waves, as well as the relativistic effect, on cyclotron resonance for a longitudinal wave, is analyzed. The analytical solution of the averaged system of equations in the quasi-relativistic approximation is analyzed, as well as a numerical experiment for the Langmuir wave under the condition of cyclotron resonance in the case of a strong electric field.
Full Text
1. Introduction In the drift theory of the motion of charged particles in electromagnetic fields, two cases are distinguished: a “weak” electric field, when the velocity of electric drift isAbout the authors
Sergey P. Karnilovich
RUDN University
Email: karnilovich-sp@rudn.ru
ORCID iD: 0000-0002-7669-7030
Candidate of Sciences in Physics and Mathematics, Assistant professor of Institute of Physical Research and Technology
6 Miklukho-Maklaya St, Moscow, 117198, Russian FederationKonstantin P. Lovetskiy
RUDN University
Email: lovetskiy-kp@rudn.ru
ORCID iD: 0000-0002-3645-1060
Candidate of Sciences in Physics and Mathematics, Associate Professor of Department of Computational Mathematics and Artificial Intelligence
6 Miklukho-Maklaya St, Moscow, 117198, Russian FederationLeonid A. Sevastianov
RUDN University; Joint Institute for Nuclear Research
Email: sevastianov-la@rudn.ru
ORCID iD: 0000-0002-1856-4643
Professor, Doctor of Sciences in Physics and Mathematics, Professor at the Department of Computational Mathematics and Artificial Intelligence of Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University), Leading Researcher of Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research
6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation; 2 Joint Institute for Nuclear ResearchSvetlana B. Strashnova
RUDN University
Email: strashnova-sb@rudn.ru
ORCID iD: 0000-0002-2588-504X
Candidate of Chemical Sciences, Associate Professor at the Department of General and Inorganic Chemistry
6 Miklukho-Maklaya St, Moscow, 117198, Russian FederationYahya N. Shaar
RUDN University
Author for correspondence.
Email: al-shaar-ya@rudn.ru
ORCID iD: 0000-0003-4951-5657
PhD in Physics and Mathematics, Assistant professor of Institute of Physical Research and Technology
6 Miklukho-Maklaya St, Moscow, 117198, Russian FederationReferences
- Karnilovich, S. P. & Milantiev, V. P. Effect of strong electric-field on resonance interaction between particles and HF waves. Journal of Experimental and Theoretical Physics 94, 537-545 (1989).
- Karnilovich, S. P. & Milantiev,V. P. On cyclotron damping of longitudinal wave in XIX International Conference on Phenomena in Ionized Gases 4 (1989), 810-811.
- O’Neil, T. Collisionless Damping of Nonlinear Plasma Oscillations. The Physics of Fluids 8, 2255- 2262. doi: 10.1063/1.1761193 (Dec. 1965).
- Karnilovich, S. P. & Milantiev, V. P. The effect of a strong quasi-stationary electric field on the resonant wave-particle interaction in a magnetized plasma in Mat. of the 6th All-Union Conference on the interaction of electromagnetic radiation with plasma, Dushanbe (1991).
- Karnilovich, S. P. & Milantiev, V. P. Collection of scientific papers “Problems of quantum. and the stat. Physics” in. Chap. Dynamics of resonant particles in RF fields in the MHD approximation (UDN, Moscow, 1989).
- Karnilovich, S. P., Milantiev, V. P. & Bespalov, S. V. Effects of the electric drift on the resonant wave-particle interaction in Proc. XXIV Int. Conf. On Phenomena in Ionized Gases - ICPIG-99, Warsaw 2 (1999), 81-82.
- Karnilovich, S. P., Milantiev, V. P. & Konovalseva, L. V. The influence of the electric drift on resonant wave-particle interaction in Proc. 1992 ICPP Innsdruck. Austria (1992).
- Karpman,V. I., Istomin, J. N. & Shklyar, D. Nonlinear theory of a quasi-monochromatic whistler mode packet in inhomogeneous plasma. Plasma Physics 16, 685-692. doi: 10.1088/0032-1028/16/8/001 (1974).
- Pocobelli, G. Damping of an electron plasma wave with detrapping of the electrons. The Physics of Fluids 24, 2177-2182. doi: 10.1063/1.863334 (1981).
- Nishida, Y. & Sato, N. Observation of high-energy electrons accelerated by electrostatic waves propagating obliquely to a magnetic field. Physical Review Letters 59, 653-656. doi: 10.1103/PhysRevLett.59.653 (1987).
- Sugawa, M. & Sugaya, R. Nonlinear Interaction between Electrostatic Electron Cyclotron Harmonic Waves and Electrons. Journal of the Physical Society of Japan 54, 1339-1347. doi:10. 1143/JPSJ.54.1339 (1985)