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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/48721完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 吳俊輝 | |
| dc.contributor.author | Tun-Wei Huang | en |
| dc.contributor.author | 黃敦威 | zh_TW |
| dc.date.accessioned | 2021-06-15T07:10:19Z | - |
| dc.date.available | 2010-10-22 | |
| dc.date.copyright | 2010-10-22 | |
| dc.date.issued | 2010 | |
| dc.date.submitted | 2010-10-18 | |
| dc.identifier.citation | [1] A. Vilenkin, E. P. S. Shellard, “Cosmic strings and other topological
defects”, 1994 [2] P. P. Avelino, E. P. S. Shellard, J. H. P. Wu and B. Allen, Physical Review Letters, Volume 81, Issue 10, September 7, 1998, pp.2008-2011 [3] P. P. Avelino, E. P. S. Shellard, J. H. P. Wu and B. Allen, The Astro- physical Journal, Volume 507, Issue 2, pp. L101-L104 (1998) [4] P. P. Avelino, E. P. S. Shellard, J. H. P. Wu and B. Allen, Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 60, Issue 2, 15 July 1999, id. 023511 [5] J. H. P. Wu, P. P. Avelino, E. P. S. Shellard, B. Allen, International Journal of Modern Physics D, Volume 11, Issue 01, pp. 61-102 (2002) [6] P. P. Avelino, J. H. P. Wu, E. P. S.Shellard, Monthly Notices of the Royal Astronomical Society, Volume 318, Issue 2, pp. 329-332. (2000) [7] J. R. Bond and G. Efstathiou, Ap. J. 285, L45 (1984). [8] G. Efstathiou, in Physics of the Early Universe, edited by A. Heavens, A. Davies and J. Peacock (Scottish Universities Summer School Publi- cations, Edinburgh, 1990). [9] A. R. Liddle and D. H. Lyth, Phys. Rep. 231, 1 (1993). [10] B. Allen and E. P. S. Shellard, Phys. Rev. Lett. 64, 119 (1990); [11] B. Allen and E. P. S. Shellard, Phys. Rev. Lett. 64, 685 (1990); [12] E. P. S. Shellard and B. Allen,“On the Evolution of Cosmic Strings”in The Formation and Evolution of Cosmic Strings (Cambridge University Press: Cambridge) (1990). | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/48721 | - |
| dc.description.abstract | 我們使用吳俊輝教授提供的高解析度 (1024^3格點數) 宇宙弦模擬數據分析非膨脹宇宙中宇宙弦之碎形維度以及其他結構性質。宇宙弦的形狀可以利用碎形維度 d 描述，即宇宙弦的長度 L 和兩端點距離R 的關係。我們確認了碎形維度在小尺度趨近於 1，和大尺度趨近 2。我們也計算了宇宙弦的功率譜、Unequal Time Correlator (UETC)、長宇宙弦 (Long Strings)的能量密度 (ρ_∞) 和長宇宙弦轉移到 Small Loops 的能量密度轉換率 (X_L)。我們將這些結果和膨脹宇宙中的結果做比較，發現兩者在功率譜、UETC方面有很相似的特徵。我也研究了兩者在其他方面的關係。 | zh_TW |
| dc.description.abstract | We analyzed the fractal dimension and other structural properties of cosmic strings in a non-expanding universe, using the data of 1024^3 in resolution simulated by Jiun-Huei Porty Wu. The structure of cosmic strings can be characterized by the fractal dimension d, which relates the sectional string length (L) to the distance between the ends of the section (R). We show that the fractal dimension approaches one on small scales and approaches two on large scales. This is consistent with the theory and other studies[1]. We also studied the power spectra, the unequal time correlator (UETC), the long string’s energy density (ρ_∞), and its energy transfer rate to small loops (X_L). We compared our results with those in an expanding universe[5]. We found that they share similar features in power spectra and UETC. We also investigated the relationship between our results and those in an expanding universe[5]. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-15T07:10:19Z (GMT). No. of bitstreams: 1 ntu-99-R96244006-1.pdf: 1118362 bytes, checksum: 02827b8eb8576081c93a8d0fbde46637 (MD5) Previous issue date: 2010 | en |
| dc.description.tableofcontents | 1 簡介 8
2 分析方法 10 2.1 宇宙弦的行為 . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.2 碎形維度 (Fractal Dimension) . . . . . . . . . . . . . . . . . . 11 2.3 長宇宙弦的能量密度 . . . . . . . . . . . . . . . . . . . . . . . 13 2.4 長宇宙弦的能量密度轉換率 . . . . . . . . . . . . . . . . . . . 15 2.5 功率譜分析 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 2.6 Unequal Time Correlator 分析 . . . . . . . . . . . . . . . . . . 16 3 分析結果及討論 19 3.1 不同時期的宇宙弦分析 . . . . . . . . . . . . . . . . . . . . . . 19 3.2 Horizon 大小的換算 . . . . . . . . . . . . . . . . . . . . . . . 22 3.3 宇宙弦的基本性質分析 . . . . . . . . . . . . . . . . . . . . . . 25 3.4 碎形維度的分析 . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3.5 選取時間步的分析 . . . . . . . . . . . . . . . . . . . . . . . . 34 3.6 與膨脹宇宙模擬比較碎形維度 . . . . . . . . . . . . . . . . . . 42 3.7 長宇宙弦的能量密度分析 . . . . . . . . . . . . . . . . . . . . 49 3.8 長宇宙弦的能量轉換率分析 . . . . . . . . . . . . . . . . . . . 49 3.9 能量分佈的功率譜分析 . . . . . . . . . . . . . . . . . . . . . . 52 3.10 Unequal Time Correlator (UETC) 的分析 . . . . . . . . . . . 52 4 未來展望 55 參考文獻 57 A 程式碼 59 | |
| dc.language.iso | zh-TW | |
| dc.subject | 模擬 | zh_TW |
| dc.subject | 宇宙學 | zh_TW |
| dc.subject | 宇宙弦 | zh_TW |
| dc.subject | 宇宙殘陷 | zh_TW |
| dc.subject | 碎形維度 | zh_TW |
| dc.subject | Cosmic String | en |
| dc.subject | Simulation | en |
| dc.subject | Fractal dimension | en |
| dc.subject | Cosmic Defect | en |
| dc.subject | Cosmology | en |
| dc.title | 宇宙弦演化的結構性質 | zh_TW |
| dc.title | Structural Properties of Cosmic String Evolution | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 99-1 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 闕志鴻,孫維新 | |
| dc.subject.keyword | 宇宙學,宇宙弦,宇宙殘陷,碎形維度,模擬, | zh_TW |
| dc.subject.keyword | Cosmology,Cosmic String,Cosmic Defect,Fractal dimension,Simulation, | en |
| dc.relation.page | 96 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2010-10-18 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 天文物理研究所 | zh_TW |
| 顯示於系所單位： | 天文物理研究所 | |
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