Low-Frequency Wave Instabilities in Magnetized Collisional Plasma with Longitudinal Electric Field and Weak Inhomogeneity of Density
In the framework of linear approximation of the perturbation theory the conditions have been considered for the onset and development of the low-frequency wave instabilities for the plasmas in the external magnetic field as well as in the weak quasistatic electric field, both being parallel. It is a...
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| Дата: | 2013 |
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| Формат: | Стаття |
| Мова: | rus |
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Видавничий дім «Академперіодика»
2013
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| Онлайн доступ: | http://rpra-journal.org.ua/index.php/ra/article/view/791 |
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| Назва журналу: | Radio physics and radio astronomy |
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oai:ri.kharkov.ua:article-7912013-02-16T19:24:51Z Low-Frequency Wave Instabilities in Magnetized Collisional Plasma with Longitudinal Electric Field and Weak Inhomogeneity of Density Неустойчивости низкочастотных волн в замагниченной столкновительной плазме с продольным электрическим полем и слабой неоднородностью плотности Kryshtal, A. N. In the framework of linear approximation of the perturbation theory the conditions have been considered for the onset and development of the low-frequency wave instabilities for the plasmas in the external magnetic field as well as in the weak quasistatic electric field, both being parallel. It is assumed that the pair Coulomb collisions are described by the model integral of Bhatnagar-Gross-Krook. Inhomogeneity of plasma density is supposed to be “one-dimensional”. For the case of long-wave perturbations which propagate almost perpendicular to the external magnetic field, it has been shown that under some additional physical conditions, the dispersion relation is the polynomial of the fourth order with respect to the reduced frequency. This equation is solved through the Euler method. Two among four roots obtained turn out to be unstable with respect to the small perturbations. For the case of weak density inhomogeneity, when ion cyclotron radius is much less than mean characteristic size of inhomogeneity, the expressions for the instability growth rates have been obtained. Numerical simulation on the basis of the obtained formulas has been performed for the values of main plasma parameters (density, temperature, magnetic field amplitude, etc.) which are typical for the flare atmosphere in the solar active regions. It turns out that instability of the one of mentioned roots has clearly expressed threshold character, i.e. it arises at the certain value of slowly increasing amplitude of the weak electric field. В рамках линейного приближения теории возмущений рассматриваются условия возникновения и развития неустойчивости низкочастотных волн в плазме, находящейся во внешнем магнитном и параллельном ему слабом квазистатическом электрическом поле. Предполагается, что кулоновские столкновения описываются интегралом столкновений Батнагара-Гросса-Крука. Неоднородность плотности плазмы предполагается “одномерной”. Для случая длинноволновых возмущений, распространяющихся почти перпендикулярно внешнему магнитному полю, показано, что при выполнении некоторых дополнительных физических условий дисперсионное уравнение представляет собой полином четвертой степени относительно безразмерной приведенной частоты. Уравнение решается методом Эйлера, причем два из четырех полученных корней оказываются неустойчивыми относительно малых возмущений. Для случая слабой неоднородности плотности, когда ионный циклотронный радиус намного меньше среднего характерного размера неоднородности, найдены выражения для инкрементов развития неустойчивости. Численное моделирование на основе полученных формул проведено для значений основных параметров плазмы (плотности, температуры, напряженности магнитного поля), типичных для атмосферы вспышки в активной области (АО) на Солнце. Оказывается, что неустойчивость одного из корней дисперсионного уравнения носит отчетливо выраженный пороговый характер, т. е. возникает при определенном значении амплитуды медленно возрастающего слабого электрического поля. Видавничий дім «Академперіодика» 2013-02-16 Article Article application/pdf http://rpra-journal.org.ua/index.php/ra/article/view/791 РАДИОФИЗИКА И РАДИОАСТРОНОМИЯ; Vol 8, No 1 (2003); 5 RADIO PHYSICS AND RADIO ASTRONOMY; Vol 8, No 1 (2003); 5 РАДІОФІЗИКА І РАДІОАСТРОНОМІЯ; Vol 8, No 1 (2003); 5 2415-7007 1027-9636 rus http://rpra-journal.org.ua/index.php/ra/article/view/791/429 |
| institution |
Radio physics and radio astronomy |
| collection |
OJS |
| language |
rus |
| format |
Article |
| author |
Kryshtal, A. N. |
| spellingShingle |
Kryshtal, A. N. Low-Frequency Wave Instabilities in Magnetized Collisional Plasma with Longitudinal Electric Field and Weak Inhomogeneity of Density |
| author_facet |
Kryshtal, A. N. |
| author_sort |
Kryshtal, A. N. |
| title |
Low-Frequency Wave Instabilities in Magnetized Collisional Plasma with Longitudinal Electric Field and Weak Inhomogeneity of Density |
| title_short |
Low-Frequency Wave Instabilities in Magnetized Collisional Plasma with Longitudinal Electric Field and Weak Inhomogeneity of Density |
| title_full |
Low-Frequency Wave Instabilities in Magnetized Collisional Plasma with Longitudinal Electric Field and Weak Inhomogeneity of Density |
| title_fullStr |
Low-Frequency Wave Instabilities in Magnetized Collisional Plasma with Longitudinal Electric Field and Weak Inhomogeneity of Density |
| title_full_unstemmed |
Low-Frequency Wave Instabilities in Magnetized Collisional Plasma with Longitudinal Electric Field and Weak Inhomogeneity of Density |
| title_sort |
low-frequency wave instabilities in magnetized collisional plasma with longitudinal electric field and weak inhomogeneity of density |
| title_alt |
Неустойчивости низкочастотных волн в замагниченной столкновительной плазме с продольным электрическим полем и слабой неоднородностью плотности |
| description |
In the framework of linear approximation of the perturbation theory the conditions have been considered for the onset and development of the low-frequency wave instabilities for the plasmas in the external magnetic field as well as in the weak quasistatic electric field, both being parallel. It is assumed that the pair Coulomb collisions are described by the model integral of Bhatnagar-Gross-Krook. Inhomogeneity of plasma density is supposed to be “one-dimensional”. For the case of long-wave perturbations which propagate almost perpendicular to the external magnetic field, it has been shown that under some additional physical conditions, the dispersion relation is the polynomial of the fourth order with respect to the reduced frequency. This equation is solved through the Euler method. Two among four roots obtained turn out to be unstable with respect to the small perturbations. For the case of weak density inhomogeneity, when ion cyclotron radius is much less than mean characteristic size of inhomogeneity, the expressions for the instability growth rates have been obtained. Numerical simulation on the basis of the obtained formulas has been performed for the values of main plasma parameters (density, temperature, magnetic field amplitude, etc.) which are typical for the flare atmosphere in the solar active regions. It turns out that instability of the one of mentioned roots has clearly expressed threshold character, i.e. it arises at the certain value of slowly increasing amplitude of the weak electric field. |
| publisher |
Видавничий дім «Академперіодика» |
| publishDate |
2013 |
| url |
http://rpra-journal.org.ua/index.php/ra/article/view/791 |
| work_keys_str_mv |
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| first_indexed |
2024-05-26T06:31:47Z |
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2024-05-26T06:31:47Z |
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