The role of higher moments on the distribution of particles in the space of impulses at cyclotron resonances
The results of the analysis of the dynamics of charged particles under conditions of cyclotron resonances in the field of an intense electromagnetic wave are presented. Particular attention is paid to regimes with dynamic chaos. It is shown that there are two qualitatively different regimes. The app...
Збережено в:
| Дата: | 2023 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
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Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2023
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| Назва видання: | Problems of Atomic Science and Technology |
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| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/196166 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The role of higher moments on the distribution of particles in the space of impulses at cyclotron resonances / V.A. Buts, V.V. Kuzmin // Problems of Atomic Science and Technology. — 2023. — № 4. — С. 16-20. — Бібліогр.: 9 назв. — англ. |
Репозитарії
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irk-123456789-1961662023-12-11T13:48:09Z The role of higher moments on the distribution of particles in the space of impulses at cyclotron resonances Buts, V.A. Kuzmin, V.V. Relativistic and nonrelativistic plasma electronics The results of the analysis of the dynamics of charged particles under conditions of cyclotron resonances in the field of an intense electromagnetic wave are presented. Particular attention is paid to regimes with dynamic chaos. It is shown that there are two qualitatively different regimes. The appearance of the first one is due to the overlap of nonlinear cyclotron resonances. The second mode is related to intermittency. The moments and spectra of each of these regimes are determined. It is shown that with an increase in the intensity of an external electromagnetic wave, the first regime appears at the beginning and only then the second regime appears. A characteristic feature of the second regime is intermittency. Steps appear on the time dynamics of pulses in the second mode. It is shown that the spectra in the second mode are narrower than in the first mode. A characteristic feature of the second regime (the regime with intermittency) is the fact that the higher moments turn out to be larger than the lower moments. In the first regime, the highest moments decrease rapidly. To find the particle momentum distribution function, the generalized Fokker-Planck equation was used. Solutions of this equation are written out for some important cases. Викладено результати аналізу динаміки заряджених частинок в умовах циклотронних резонансів у полі інтенсивної електромагнітної хвилі. Особливу увагу приділено режимам з динамічним хаосом. Показано, що існує два якісно різні режими. Виникнення першого обумовлено перекриттям нелінійних циклотронних резонансів. Другий режим пов'язаний із перемежуванням. Визначено моменти та спектри кожного з цих режимів. Показано, що зі збільшенням напруженості зовнішньої електромагнітної хвилі на початку з’являється перший режим і потім другий. Характерною рисою другого режиму є перемежування. На залежності імпульсів від часу у другому режимі з’являються сходинки. Показано, що спектри у другому режимі вужчі, ніж у першому. Характерною особливістю другого режиму (режиму з перемежуванням) є той факт, що вищі моменти виявляються більшими, ніж нижчі. У першому режимі вищі моменти швидко зменшуються. Для знаходження функції розподілу частинок за імпульсами було використано узагальнене рівняння Фоккера-Планка. Для деяких важливих випадків виписано рішення цього рівняння. 2023 Article The role of higher moments on the distribution of particles in the space of impulses at cyclotron resonances / V.A. Buts, V.V. Kuzmin // Problems of Atomic Science and Technology. — 2023. — № 4. — С. 16-20. — Бібліогр.: 9 назв. — англ. 1562-6016 PACS: 05.45.-a, 05.10.Gg DOI: https://doi.org/10.46813/2023-146-016 http://dspace.nbuv.gov.ua/handle/123456789/196166 en Problems of Atomic Science and Technology Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
Relativistic and nonrelativistic plasma electronics Relativistic and nonrelativistic plasma electronics |
| spellingShingle |
Relativistic and nonrelativistic plasma electronics Relativistic and nonrelativistic plasma electronics Buts, V.A. Kuzmin, V.V. The role of higher moments on the distribution of particles in the space of impulses at cyclotron resonances Problems of Atomic Science and Technology |
| description |
The results of the analysis of the dynamics of charged particles under conditions of cyclotron resonances in the field of an intense electromagnetic wave are presented. Particular attention is paid to regimes with dynamic chaos. It is shown that there are two qualitatively different regimes. The appearance of the first one is due to the overlap of nonlinear cyclotron resonances. The second mode is related to intermittency. The moments and spectra of each of these regimes are determined. It is shown that with an increase in the intensity of an external electromagnetic wave, the first regime appears at the beginning and only then the second regime appears. A characteristic feature of the second regime is intermittency. Steps appear on the time dynamics of pulses in the second mode. It is shown that the spectra in the second mode are narrower than in the first mode. A characteristic feature of the second regime (the regime with intermittency) is the fact that the higher moments turn out to be larger than the lower moments. In the first regime, the highest moments decrease rapidly. To find the particle momentum distribution function, the generalized Fokker-Planck equation was used. Solutions of this equation are written out for some important cases. |
| format |
Article |
| author |
Buts, V.A. Kuzmin, V.V. |
| author_facet |
Buts, V.A. Kuzmin, V.V. |
| author_sort |
Buts, V.A. |
| title |
The role of higher moments on the distribution of particles in the space of impulses at cyclotron resonances |
| title_short |
The role of higher moments on the distribution of particles in the space of impulses at cyclotron resonances |
| title_full |
The role of higher moments on the distribution of particles in the space of impulses at cyclotron resonances |
| title_fullStr |
The role of higher moments on the distribution of particles in the space of impulses at cyclotron resonances |
| title_full_unstemmed |
The role of higher moments on the distribution of particles in the space of impulses at cyclotron resonances |
| title_sort |
role of higher moments on the distribution of particles in the space of impulses at cyclotron resonances |
| publisher |
Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
| publishDate |
2023 |
| topic_facet |
Relativistic and nonrelativistic plasma electronics |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/196166 |
| citation_txt |
The role of higher moments on the distribution of particles in the space of impulses at cyclotron resonances / V.A. Buts, V.V. Kuzmin // Problems of Atomic Science and Technology. — 2023. — № 4. — С. 16-20. — Бібліогр.: 9 назв. — англ. |
| series |
Problems of Atomic Science and Technology |
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2024-03-31T09:19:01Z |
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