Formation of Kinetics Coherent Structures in Weakly Collisional Media
The formation of nonlinear, nonstationary structures in weakly collisional media with collective interactions are investigated analytically within the framework of the kinetic description. This issue is considered in one-dimensional geometry using collision integral in the Bhatnagar-Gross-Krook form...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-06-01
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| Series: | Plasma |
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| Online Access: | https://www.mdpi.com/2571-6182/4/2/24 |
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| author | Alexander Karimov Vladislav Bogdanov |
| author_facet | Alexander Karimov Vladislav Bogdanov |
| author_sort | Alexander Karimov |
| collection | DOAJ |
| description | The formation of nonlinear, nonstationary structures in weakly collisional media with collective interactions are investigated analytically within the framework of the kinetic description. This issue is considered in one-dimensional geometry using collision integral in the Bhatnagar-Gross-Krook form and some model forms of the interparticle interaction potentials that ensure the finiteness of the energy and momentum of the systems under consideration. As such potentials, we select the Yukawa potential, the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-potential, which describes coherent structures in a plasma. For such potentials we obtained a dispersion relation which makes it possible to estimate the size and type of the forming structures. |
| first_indexed | 2024-03-10T10:17:54Z |
| format | Article |
| id | doaj.art-c200754a833245ae828bf87da4534338 |
| institution | Directory Open Access Journal |
| issn | 2571-6182 |
| language | English |
| last_indexed | 2024-03-10T10:17:54Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Plasma |
| spelling | doaj.art-c200754a833245ae828bf87da45343382023-11-22T00:42:05ZengMDPI AGPlasma2571-61822021-06-014235936510.3390/plasma4020024Formation of Kinetics Coherent Structures in Weakly Collisional MediaAlexander Karimov0Vladislav Bogdanov1Department of Electrophysical Facilities, National Research Nuclear University MEPhI, Kashirskoye hwy, 31, Moscow 115409, RussiaDepartment of Electrophysical Facilities, National Research Nuclear University MEPhI, Kashirskoye hwy, 31, Moscow 115409, RussiaThe formation of nonlinear, nonstationary structures in weakly collisional media with collective interactions are investigated analytically within the framework of the kinetic description. This issue is considered in one-dimensional geometry using collision integral in the Bhatnagar-Gross-Krook form and some model forms of the interparticle interaction potentials that ensure the finiteness of the energy and momentum of the systems under consideration. As such potentials, we select the Yukawa potential, the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-potential, which describes coherent structures in a plasma. For such potentials we obtained a dispersion relation which makes it possible to estimate the size and type of the forming structures.https://www.mdpi.com/2571-6182/4/2/24plasmaphysical kineticsBhatnagar-Gross-Krook collision integralVlasov equationscoherent structures |
| spellingShingle | Alexander Karimov Vladislav Bogdanov Formation of Kinetics Coherent Structures in Weakly Collisional Media Plasma plasma physical kinetics Bhatnagar-Gross-Krook collision integral Vlasov equations coherent structures |
| title | Formation of Kinetics Coherent Structures in Weakly Collisional Media |
| title_full | Formation of Kinetics Coherent Structures in Weakly Collisional Media |
| title_fullStr | Formation of Kinetics Coherent Structures in Weakly Collisional Media |
| title_full_unstemmed | Formation of Kinetics Coherent Structures in Weakly Collisional Media |
| title_short | Formation of Kinetics Coherent Structures in Weakly Collisional Media |
| title_sort | formation of kinetics coherent structures in weakly collisional media |
| topic | plasma physical kinetics Bhatnagar-Gross-Krook collision integral Vlasov equations coherent structures |
| url | https://www.mdpi.com/2571-6182/4/2/24 |
| work_keys_str_mv | AT alexanderkarimov formationofkineticscoherentstructuresinweaklycollisionalmedia AT vladislavbogdanov formationofkineticscoherentstructuresinweaklycollisionalmedia |