Dynamical Equilibrium Models of Astrophysical Objects
We derive the dynamical equilibrium equations for an adiabatically and polytropically expanding or contracting gas flow with radial and zonal velocity components that represent a deep self-similar modification of the equations of the Lane–Emden theory for stellar polytropes. The models are classifie...
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| Veröffentlicht in: | Journal of experimental and theoretical physics 2022-12, Vol.135 (6), p.813-841 |
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| container_title | Journal of experimental and theoretical physics |
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| creator | Zhuravlev, V. M. |
| description | We derive the dynamical equilibrium equations for an adiabatically and polytropically expanding or contracting gas flow with radial and zonal velocity components that represent a deep self-similar modification of the equations of the Lane–Emden theory for stellar polytropes. The models are classified by dynamical equilibrium parameter. We have ascertained an important role of the zonal flow in the establishment of dynamical equilibrium that determines the structure and evolution of stars. Based on the derived equations, we develop a new nonlinear theory of stellar pulsations and construct the period–luminosity relation for them. For the Sun the theory gives the explanation of the 11-year activity cycle as radial–zonal pulsations of its structure in dynamical equilibrium. We present a numerical analysis of the temperature and density distributions in stars in comparison with the data on the Sun. The explanation of the temperature maximum in the solar corona as an element of the dynamically equilibrium stellar structure is proposed within these models. |
| doi_str_mv | 10.1134/S1063776122120147 |
| format | Article |
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M.</creator><creatorcontrib>Zhuravlev, V. M.</creatorcontrib><description>We derive the dynamical equilibrium equations for an adiabatically and polytropically expanding or contracting gas flow with radial and zonal velocity components that represent a deep self-similar modification of the equations of the Lane–Emden theory for stellar polytropes. The models are classified by dynamical equilibrium parameter. We have ascertained an important role of the zonal flow in the establishment of dynamical equilibrium that determines the structure and evolution of stars. Based on the derived equations, we develop a new nonlinear theory of stellar pulsations and construct the period–luminosity relation for them. For the Sun the theory gives the explanation of the 11-year activity cycle as radial–zonal pulsations of its structure in dynamical equilibrium. We present a numerical analysis of the temperature and density distributions in stars in comparison with the data on the Sun. The explanation of the temperature maximum in the solar corona as an element of the dynamically equilibrium stellar structure is proposed within these models.</description><identifier>ISSN: 1063-7761</identifier><identifier>EISSN: 1090-6509</identifier><identifier>DOI: 10.1134/S1063776122120147</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Analysis ; Astronomical models ; Astrophysics ; Classical and Quantum Gravitation ; Elementary Particles ; Equilibrium ; Equilibrium equations ; Fields ; Gas flow ; Gravitation ; Luminosity ; Nuclei ; Numerical analysis ; Particle and Nuclear Physics ; Particles ; Physics ; Physics and Astronomy ; Quantum Field Theory ; Relativity Theory ; Self-similarity ; Solar corona ; Solid State Physics ; Stellar evolution ; Stellar structure ; Zonal flow (meteorology)</subject><ispartof>Journal of experimental and theoretical physics, 2022-12, Vol.135 (6), p.813-841</ispartof><rights>Pleiades Publishing, Inc. 2022. ISSN 1063-7761, Journal of Experimental and Theoretical Physics, 2022, Vol. 135, No. 6, pp. 813–841. © Pleiades Publishing, Inc., 2022. Russian Text © The Author(s), 2022, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2022, Vol. 162, No. 6, pp. 850–877.</rights><rights>COPYRIGHT 2022 Springer</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c341t-3ac2c062c8b568005c05f2723019de1d0a2163f50c311b8b5a8e03f80aef34b63</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S1063776122120147$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S1063776122120147$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Zhuravlev, V. M.</creatorcontrib><title>Dynamical Equilibrium Models of Astrophysical Objects</title><title>Journal of experimental and theoretical physics</title><addtitle>J. Exp. Theor. Phys</addtitle><description>We derive the dynamical equilibrium equations for an adiabatically and polytropically expanding or contracting gas flow with radial and zonal velocity components that represent a deep self-similar modification of the equations of the Lane–Emden theory for stellar polytropes. The models are classified by dynamical equilibrium parameter. We have ascertained an important role of the zonal flow in the establishment of dynamical equilibrium that determines the structure and evolution of stars. Based on the derived equations, we develop a new nonlinear theory of stellar pulsations and construct the period–luminosity relation for them. For the Sun the theory gives the explanation of the 11-year activity cycle as radial–zonal pulsations of its structure in dynamical equilibrium. We present a numerical analysis of the temperature and density distributions in stars in comparison with the data on the Sun. The explanation of the temperature maximum in the solar corona as an element of the dynamically equilibrium stellar structure is proposed within these models.</description><subject>Analysis</subject><subject>Astronomical models</subject><subject>Astrophysics</subject><subject>Classical and Quantum Gravitation</subject><subject>Elementary Particles</subject><subject>Equilibrium</subject><subject>Equilibrium equations</subject><subject>Fields</subject><subject>Gas flow</subject><subject>Gravitation</subject><subject>Luminosity</subject><subject>Nuclei</subject><subject>Numerical analysis</subject><subject>Particle and Nuclear Physics</subject><subject>Particles</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theory</subject><subject>Relativity Theory</subject><subject>Self-similarity</subject><subject>Solar corona</subject><subject>Solid State Physics</subject><subject>Stellar evolution</subject><subject>Stellar structure</subject><subject>Zonal flow (meteorology)</subject><issn>1063-7761</issn><issn>1090-6509</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp1kN9LwzAQgIMoOKd_gG8Dn3zovEvatH0c89dgMnD6HNI0mR1dsyUtuP_ezAoyRO4hR_J9d7kj5BphjMjiuyUCZ2nKkVKkgHF6QgYIOUQ8gfz0kHMWHd7PyYX3awDIKOQDktzvG7mplKxHD7uuqqvCVd1m9GJLXfuRNaOJb53dfuz9N7Mo1lq1_pKcGVl7ffVzDsn748Pb9DmaL55m08k8UizGNmJSUQWcqqxIeAaQKEgMTSkDzEuNJUiKnJkEFEMsAiQzDcxkILVhccHZkNz0dbfO7jrtW7G2nWtCS0HTLIyJmNFAjXtqJWstqsbY1kkVotRhMttoU4X7ScqyAKd5GoTbIyEwrf5sV7LzXsyWr8cs9qxy1nunjdi6aiPdXiCIw-rFn9UHh_aOD2yz0u732_9LXwmVghE</recordid><startdate>20221201</startdate><enddate>20221201</enddate><creator>Zhuravlev, V. 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| subjects | Analysis Astronomical models Astrophysics Classical and Quantum Gravitation Elementary Particles Equilibrium Equilibrium equations Fields Gas flow Gravitation Luminosity Nuclei Numerical analysis Particle and Nuclear Physics Particles Physics Physics and Astronomy Quantum Field Theory Relativity Theory Self-similarity Solar corona Solid State Physics Stellar evolution Stellar structure Zonal flow (meteorology) |
| title | Dynamical Equilibrium Models of Astrophysical Objects |
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