On cyclotron damping of longitudinal wave

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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.

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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 is
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About 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 Federation

Konstantin 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 Federation

Leonid 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 Research

Svetlana 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 Federation

Yahya 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 Federation

References

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Copyright (c) 2024 Karnilovich S.P., Lovetskiy K.P., Sevastianov L.A., Strashnova S.B., Shaar Y.N.

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