Lane-Emden equation with inertial force and general polytropic dynamic model for molecular cloud cores
文献类型：期刊论文
| 作者 | Li, DaLei1,2; Lou, Yu-Qing3,4,5; Esimbek, Jarken1,6 |
| 刊名 | MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
 |
| 出版日期 | 2018 |
| 卷号 | 473期号:2页码:2441-2464 |
| ISSN号 | 0035-8711 |
| 关键词 | hydrodynamics planets and satellites: gaseous planets brown dwarfs stars: formation stars: protostars ISM: clouds |
| DOI | 10.1093/mnras/stx1925 |
| 通讯作者 | Lou, Yu-Qing(louyq@mail.tsinghua.edu.cn) |
| 英文摘要 | We study self-similar hydrodynamics of spherical symmetry using a general polytropic ( GP) equation of state and derive the GP dynamic Lane-Emden equation ( LEE) with a radial inertial force. In reference to Lou & Cao, we solve the GP dynamic LEE for both polytropic index gamma = 1 + 1/n and the isothermal case n -> +infinity; our formalism is more general than the conventional polytropic model with n = 3 or gamma = 4/3 of Goldreich & Weber. For proper boundary conditions, we obtain an exact constant solution for arbitrary n and analytic variable solutions for n = 0 and n = 1, respectively. Series expansion solutions are derived near the origin with the explicit recursion formulae for the series coefficients for both the GP and isothermal cases. By extensive numerical explorations, we find that there is no zero density at a finite radius for n >= 5. For 0 <= n < 5, we adjust the inertial force parameter c and find the range of c > 0 for monotonically decreasing density from the origin and vanishing at a finite radius for c being less than a critical value C-cr. As astrophysical applications, we invoke our solutions of the GP dynamic LEE with central finite boundary conditions to fit the molecular cloud core Barnard 68 in contrast to the static isothermal Bonnor-Ebert sphere by Alves et al. Our GP dynamic model fits appear to be sensibly consistent with several more observations and diagnostics for density, temperature and gas pressure profiles. |
| WOS关键词 | GRAVITATING GASEOUS SPHERES ; SELF-SIMILAR SOLUTIONS ; FIELD EXTINCTION MAPS ; ENVELOPE EXPANSION ; STAR-FORMATION ; STELLAR CORES ; SERIES SOLUTIONS ; SPIRAL GALAXIES ; BARNARD 68 ; COLLAPSES |
| WOS研究方向 | Astronomy & Astrophysics |
| 语种 | 英语 |
| 出版者 | OXFORD UNIV PRESS |
| WOS记录号 | WOS:000423731200072 |
| 源URL | [http://libir.pmo.ac.cn/handle/332002/22205]  |
| 专题 | 中国科学院紫金山天文台 |
| 通讯作者 | Lou, Yu-Qing |
| 作者单位 | 1.Chinese Acad Sci, Xinjiang Astron Observ, Urumqi 830011, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100080, Peoples R China 3.Tsinghua Univ, Dept Phys, Beijing 100084, Peoples R China 4.Tsinghua Univ, Tsinghua Ctr Astrophys THCA, Beijing 100084, Peoples R China 5.Tsinghua Univ, Joint Res Ctr Astrophys, Tsinghua Natl Astron Observ China, Beijing 100084, Peoples R China 6.Chinese Acad Sci, Key Lab Radio Astron, Urumqi 830011, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, DaLei,Lou, Yu-Qing,Esimbek, Jarken. Lane-Emden equation with inertial force and general polytropic dynamic model for molecular cloud cores[J]. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,2018,473(2):2441-2464. |
| APA | Li, DaLei,Lou, Yu-Qing,&Esimbek, Jarken.(2018).Lane-Emden equation with inertial force and general polytropic dynamic model for molecular cloud cores.MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,473(2),2441-2464. |
| MLA | Li, DaLei,et al."Lane-Emden equation with inertial force and general polytropic dynamic model for molecular cloud cores".MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY 473.2(2018):2441-2464. |
入库方式： OAI收割
来源：紫金山天文台
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