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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳丕燊(Pisin Chen) | |
| dc.contributor.author | Chun-Yen Chen | en |
| dc.contributor.author | 陳鈞彥 | zh_TW |
| dc.date.accessioned | 2021-06-08T01:43:02Z | - |
| dc.date.copyright | 2016-08-24 | |
| dc.date.issued | 2016 | |
| dc.date.submitted | 2016-08-17 | |
| dc.identifier.citation | [1] Gamow, G. 1946a. Expanding Universe and the Origin of Elements. Physical Review 70: 572-573
[2] H.P. Robertson, Kinematics and world-structure, Astrophys. J. 82 (1935) 284. [3] A.G. Walker, On Milne’s theory of world-Structure, Proc. Lond. Math. Soc. (2) 42 (1937) 90. [4] Friedmann, A (1999). On the Curvature of Space. General Relativity and Gravitation 31 (12): 1991 – 2000. [5] P.W. Higgs, Broken Symmetries and the Masses of Gauge Bosons, Phys. Rev. Lett. 12, 132 (1964) [6] W. Pauli, in letter to participants of the Conference in T‥ubingen (1930); Septieme Conseil de Physique Solvay 1933, Noyaux Atomiques, 324 (1934). [7] C.L. Cowan, F. Reines, F.B. Harrison, H.W. Kruse, A.D. McGuire, Detection of the Free Neutrino: a Confirmation. Science 124, 103(1956) [8] E. Kh. Akhmedov, Neutrino physics, FISIST/ 1-2000/ CFIF. [arXiv:hep-ph/ 0001264v2] [9] Z.-Z. Xing and S. Zhou, Neutrinos in Particle Physics, Astronomy and Cosmology (Zhejiang University Press, 2011). [10] B. Pontecorvo, Neutrino experiments and the problem of conservation of leptonic charge, Sov. Phys. JETP 6 (1958) 429; Sov. Phys. JETP 7 (1958) 172. [11] R. Davis, Jr., D. S. Harmer, and K. C. Hoffman, Search for Neutrinos from the Sun, Phys. Rev. Lett. 20, 1205 (1968) [12] Pontecorvo, B. (1957). ”Inverse beta processes and nonconservation of lepton charge”, Soviet Physics JETP 7: 172. 1958. [13] Z. Maki, M. Nakagawa, and S. Sakata (1962). ”Remarks on the Unified Model of Elementary Particles”. Progress of Theoretical Physics 28 (5): 870. [14] K Nakamura et al (Particle Data Group) 2010 J. Phys. G: Nucl. Part. Phys. 37 075021 [15] L. Wolfenstein, Neutrino oscillations in matter, Phys. Rev. D 17 (1978) 2369. [16] S. P. Mikheyev, A. Yu. Smirnov (1985). ”Resonance enhancement of oscillations in matter and solar neutrino spectroscopy”. Soviet Journal of Nuclear Physics 42 (6): 913 – 917. [17] C. Giunti and C.W. Kim, ”Fundamentals of Neutrino Physics and Astrophysics”, Oxford University Press, 2007. 323-326 [18] B.H. McKellar, M.J. Thomson, Oscillating neutrinos in the early Universe, Phys. Rev. D 49 (1994) 2710. [19] N.F. Bell, R.R. Volkas, Y.Y. Wong, Relic neutrino asymmetry evolution from first principles, Phys. Rev. D 59 (1999) 113001. [20] A.D. Dolgov, Neutrinos in Cosmology, Phys.Rept. 370 (2002) 333-535. [arXiv:hepph/0202122v2] [21] G. Sigl, G. Raffelt, General kinetic description of relativistic mixed neutrinos, Nucl. Phys. B 406 (1993) 423. [22] J. Pantaleone, Neutrino oscillations at high densities, Phys. Lett. B 287 (1992) 128. [23] A.D. Dolgov, S.H. Hansen, S. Pastor, S.T. Petcov, G.G. Raffelt, D.V. Semikoz, Cosmological bounds on neutrino degeneracy improved by flavor oscillations, Nucl. Phys. B 632 (2002) 363 – 382 [24] E. Hairer, S. Norsett, and G. Wanner, Solving Ordinary Differential Equations: Stiff and differential-algebraic problems. Springer series in computational mathematics. Springer-Verlag, 1993. [25] S. Hannestad, I. Tamborra, and T. Tram, Thermalisation of light sterile neutrinos in the early universe, JCAP 1207 (2012) 025, [arXiv:1204.5861]. [26] Evgeny Akhmedov, Joachim Kopp, Manfred Lindner, Decoherence by wave packet separation and collective neutrino oscillations, 2014, [arXiv:1405.7275v1]. [27] Richard H. Cyburt, Brian D. Fields, Keith A. Olive, and Tsung-Han Yeh, Big bang nucleosynthesis: Present status, Rev. Mod. Phys. 88, 015004 [28] Fixsen, The Temperature of the Cosmic Microwave Background, D., 2009, ApJ, 707, 916 [29] K.N. Abazajian, J.E. Carlstrom, A.T. Lee, Neutrino Physics from the Cosmic Microwave Background and Large Scale Structure, Astropart. Phys. 63 (2015) 66 -80 [arXiv:1309.5383v3] [30] G. Mangano, G. Miele, S. Pastor, T. Pinto, O. Pisanti, et al., “Relic neutrino decoupling including flavor oscillations,” Nucl.Phys. B729 (2005) 221 – 234, arXiv:hep-ph/0506164 [hep-ph]. [31] Jeremiah Birrell, Cheng-Tao Yang, Pisin Chen, Johann Rafelski, Fugacity and Reheating of Primordial Neutrinos, Mod. Phys. Lett. A28, 40, 1350188 (2013) [arXiv:1303.2583v4] [32] Planck Collaboration, “Planck 2015 results. XIII. Cosmological parameters” [arXiv:1502.01589v2 ]. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/19037 | - |
| dc.description.abstract | Neutrinos are important for the evolution of early universe. The abundance
of neutrinos will affect the expansion rate of universe and so that affect the Big Bang nucleosynthesis and cosmic microwave background. In this paper, the consequences of a nonzero neutrino fugacity in the early universe are considered. In contrast to the standard chemical potential, which controls the asymmetry between the number density of neutrinos and anti-neutrinos, fugacity determines the total number density of neutrinos and anti-neutrinos, which is essential in describing the neutron evolution in the early universe. I will introduce the physics about the early universe and some physics about neutrino first. Then an approximate solution to the neutrino Lepton asymmetry is derived from the neutrino quantum kinetic equations and used to study the influence of neutrino fugacity. Also the numerical result will be shown in this paper. In the end, the impact of neutrino’s fugacity on Big Bang Nucleosynthesis (BBN) and Cosmic Microwave Background (CMB) via effective number Neff of neutrinos will be discussed. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-08T01:43:02Z (GMT). No. of bitstreams: 1 ntu-105-R02222076-1.pdf: 3633094 bytes, checksum: 93ede2857e3fe28508d54b532c5746e7 (MD5) Previous issue date: 2016 | en |
| dc.description.tableofcontents | 口試委員會審定書i
致謝ii 中文摘要iii Abstract iv Contents v List of Figures vii List of Tables ix 1 Introduction: The Early Universe 1 2 Introduction to Neutrino Physics 4 2.1 Neutrinos Oscillation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Mikheyev-Smirnov-Wolfenstein Effect . . . . . . . . . . . . . . . . . . . 6 2.3 Additional Neutrino Interactions . . . . . . . . . . . . . . . . . . . . . . 9 2.4 The Fugacity of Neutrinos . . . . . . . . . . . . . . . . . . . . . . . . . 10 3 Primordial Neutrino Evolution 12 3.1 The Density Matrix and von Neumann Equation . . . . . . . . . . . . . . 12 3.2 The Quantum Kinetic Equation of Primordial Neutrinos . . . . . . . . . . 15 4 Approximate Solutions 18 4.1 Matrix Form of Interactions . . . . . . . . . . . . . . . . . . . . . . . . . 18 4.2 Without Decoherence Term . . . . . . . . . . . . . . . . . . . . . . . . . 19 4.3 With Decoherence Term . . . . . . . . . . . . . . . . . . . . . . . . . . 24 5 Numerical Study of the Primordial Neutrino QKE’s 33 5.1 Numerical Method: RADAU5 . . . . . . . . . . . . . . . . . . . . . . . 33 5.2 Numerical Regulator Method . . . . . . . . . . . . . . . . . . . . . . . . 34 5.3 Numerical Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 5.4 The Impact of the Fugacity . . . . . . . . . . . . . . . . . . . . . . . . . 48 6 Implications 51 6.1 The Impact on the Big Bang Nucleosynthesis . . . . . . . . . . . . . . . 51 6.2 The Impact on the Cosmic Microwave Background And Relic Neutrino . 52 7 Conclusion and Discussion 54 Bibliography 56 | |
| dc.language.iso | en | |
| dc.title | 微中子的逸散度對早期微中子及宇宙演化之影響 | zh_TW |
| dc.title | Impact of the Neutrino Fugacity in the Early Universe | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 104-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 陳凱風,高律耶(Christopher Gauthier) | |
| dc.subject.keyword | 微中子,逸散度,早期宇宙,宇宙背景輻射,大霹靂核合成, | zh_TW |
| dc.subject.keyword | neutrino,fugacity,early universe,quantum kinetic equation,effective number,Big Bang Nucleosynthesis,Cosmic Microwave Background, | en |
| dc.relation.page | 58 | |
| dc.identifier.doi | 10.6342/NTU201602566 | |
| dc.rights.note | 未授權 | |
| dc.date.accepted | 2016-08-17 | |
| 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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