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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 闕志鴻(Tzihong Chiueh) | |
| dc.contributor.author | Shu-Rong Chen | en |
| dc.contributor.author | 陳姝蓉 | zh_TW |
| dc.contributor.author | f97222062 | |
| dc.date.accessioned | 2022-11-24T03:07:07Z | - |
| dc.date.available | 2022-02-16 | |
| dc.date.available | 2022-11-24T03:07:07Z | - |
| dc.date.copyright | 2022-02-16 | |
| dc.date.issued | 2022 | |
| dc.date.submitted | 2022-02-14 | |
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/80461 | - |
| dc.description.abstract | 波暗物質模型的性質由其粒子質量決定，其預測每個星系的暗物質暈中央存有孤粒子，而核心外的暗物質平均密度分布與傳統冷暗物質相同，在其上有隨時間震盪的顆粒狀結構。本論文包括兩個工作，一是利用Jeans分析法搭配暗物質占多數的矮橢球星系的動力學觀測結果，來估算波暗物質模型的粒子質量；二是推導出波暗物質模型在愛因斯坦-德西特宇宙模型下的自相似解。 在第一部分，我們假設八個矮橢球星系中的恆星的觀測資料皆落在暗物質暈中央的孤立子中，利用Jeans分析方法分析兩組不同的觀測資料\cite{Walker2007}和 \cite{Walker2009b}推估得粒子質量為 $1.18_{-0.24}^{+0.28}\times10^{-22}\eV$ 與 $1.79_{-0.33}^{+0.35}\times10^{-22}\eV~(2\sigma)$ 。利用此分析方法估計的波暗物質粒子質量，對矮橢球星系的動力學觀測資料非常敏感，但對恆星密度分布模型較不敏感。文中亦分析矮橢球星系中不同恆星族群的動力學資料，得到與前述一致的粒子質量。 在第二部分，我們推導出波暗物質在愛因斯坦-德西特宇宙模型下隨時間演化的自相似解。自相似解在慣性座標系裡整體的密度分佈隨時間變寬，但在隨宇宙膨脹的共移座標系下看起來隨時間變窄，而在自相似解的座標系中不隨時間改變。自相似解能量為正，與暗物質暈中心亦具有自相似但能量為負的孤立子不同。自相似解對小擾動相對穩定，而在較大的擾動下會演化成中心帶有孤立子、周圍帶有顆粒狀結構的解，這與宇宙學模擬中見到的暗物質暈非常類似。 | zh_TW |
| dc.description.provenance | Made available in DSpace on 2022-11-24T03:07:07Z (GMT). No. of bitstreams: 1 U0001-1002202222535200.pdf: 5291971 bytes, checksum: 0a59579320ccf883e99780e378195354 (MD5) Previous issue date: 2022 | en |
| dc.description.tableofcontents | 1 Introduction 1 2 Jeans Analysis for Dwarf Spheroidal Galaxies 5 2.1 Jeans Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.1.1 Wave Dark Matter Halo . . . . . . . . . . . . . . . . . . . . . 6 2.1.2 Stellar Density and Velocity Dispersion . . . . . . . . . . . . . 7 2.1.3 Markov Chain Monte Carlo . . . . . . . . . . . . . . . . . . . 7 2.2 Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.3 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.3.1 Model Uncertainties . . . . . . . . . . . . . . . . . . . . . . . 13 2.3.2 Soliton + NFW model . . . . . . . . . . . . . . . . . . . . . . 20 2.3.3 Stellar Subpopulations . . . . . . . . . . . . . . . . . . . . . . 22 3 Self-Similar Solutions of Wave Dark Matter Halos 27 3.1 Self-Similar Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 3.1.1 Governing Equations . . . . . . . . . . . . . . . . . . . . . . . 27 3.1.2 Boundary Conditions . . . . . . . . . . . . . . . . . . . . . . . 30 3.1.3 Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 3.2 Solution Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 3.2.1 Shrinking Core . . . . . . . . . . . . . . . . . . . . . . . . . . 33 3.2.2 Energy Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . 34 3.2.3 Single-Shell Trajectory . . . . . . . . . . . . . . . . . . . . . . 37 3.3 Stability and Formation of Self-Similar Solutions . . . . . . . . . . . . 39 3.3.1 Numerical Methods . . . . . . . . . . . . . . . . . . . . . . . . 39 3.3.2 Solution Validation . . . . . . . . . . . . . . . . . . . . . . . . 41 3.3.3 Stability against Three-Dimensional Perturbations . . . . . . . 41 3.3.4 Forming Self-Similar Solutions with One-Dimensional Simulations . . . . . . 45 3.3.5 Core-Halo Relation . . . . . . . . . . . . . . . . . . . . . . . . 46 3.4 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 4 Summary and Conclusions 54 Appendices 72 A Jeans Analysis for Dwarf Spheroidal Galaxies 73 A.1 Soliton Mass Profile . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 A.2 Joint Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 B Self-Similar Solutions of Wave Dark Matter Halos 77 B.1 Self-Similar Solution for ρ = 0 . . . . . . . . . . . . . . . . . . . . . . 77 | |
| dc.language.iso | en | |
| dc.subject | 自相似解 | zh_TW |
| dc.subject | 波暗物質 | zh_TW |
| dc.subject | 矮星系 | zh_TW |
| dc.subject | Jeans分析法 | zh_TW |
| dc.subject | Jeans analysis | en |
| dc.subject | self-similar solution | en |
| dc.subject | wave dark matter | en |
| dc.subject | dwarf galaxy | en |
| dc.title | 波暗物質模型中的矮星系與自相似解 | zh_TW |
| dc.title | Dwarf Galaxies and Similarity Solutions in the Wave Dark Matter Scenario | en |
| dc.date.schoolyear | 110-1 | |
| dc.description.degree | 博士 | |
| dc.contributor.oralexamcommittee | 吳建宏(Mao-Chao Lin),奧村哲平(Shih-Chun Lin),梅津敬一,吳俊輝 | |
| dc.subject.keyword | 波暗物質,矮星系,Jeans分析法,自相似解, | zh_TW |
| dc.subject.keyword | wave dark matter,dwarf galaxy,Jeans analysis,self-similar solution, | en |
| dc.relation.page | 79 | |
| dc.identifier.doi | 10.6342/NTU202200549 | |
| dc.rights.note | 同意授權(限校園內公開) | |
| dc.date.accepted | 2022-02-14 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 物理學研究所 | zh_TW |
| 顯示於系所單位： | 物理學系 | |
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