請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/62778完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳俊瑋(Jiunn-Wei Chen) | |
| dc.contributor.author | Yen-Fu Liu | en |
| dc.contributor.author | 劉彥甫 | zh_TW |
| dc.date.accessioned | 2021-06-16T16:10:09Z | - |
| dc.date.available | 2013-07-01 | |
| dc.date.copyright | 2013-03-15 | |
| dc.date.issued | 2013 | |
| dc.date.submitted | 2013-03-07 | |
| dc.identifier.citation | [1] A. G. Cohen, D. B. Kaplan and A. E. Nelson, Ann. Rev. Nucl. Part. Sci. 43,
27 (1993) [hep-ph/9302210]. [2] V. A. Rubakov and M. E. Shaposhnikov, Usp. Fiz. Nauk 166, 493 (1996) [hep-ph/ 9603208]. [3] See, for example, D. Teaney and E. V. Shuryak, Phys. Rev. Lett. 83, 4951 (1999) [nucl-th/9904006]; D. H. Rischke, S. Bernard and J. A. Maruhn, Nucl. Phys. A595, 346 (1995) [nucl-th/9504018], Nucl. Phys. A595, 383 (1995) [nucl-th/9504021]; S. Bernard, J. A. Maruhn, W. Greiner and D. H. Rischke, Nucl. Phys. A605, 566 (1996) [nucl-th/ 9602011], and references therein. [4] S. Jeon, Phys. Rev. D 52, 3591 (1995) [hep-ph/9409250]. [5] S. Jeon and L. G. Ya e, Phys. Rev. D 53, 5799 (1996) [hep-ph/9512263]. [6] P. Kovtun, D. T. Son and A. O. Starinets, Phys. Rev. Lett. 94, 111601 (2005). [7] J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998) [Int. J. Theor. Phys. 38, 1113 (1999)]. [8] S. S. Gubser, I. R. Klebanov and A. M. Polyakov, Phys. Lett. B 428, 105 (1998) [9] E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998) [10] I. Arsene et al. [BRAHMS Collaboration], Nucl. Phys. A 757, 1 (2005) [nucl- ex/0410020]. [11] K. Adcox et al. [PHENIX Collaboration], Nucl. Phys. A 757, 184 (2005) [nucl-ex/0410003]. [12] B. B. Back, M. D. Baker, M. Ballintijn, D. S. Barton, B. Becker, R. R. Betts, A. A. Bickley and R. Bindel et al., Nucl. Phys. A 757, 28 (2005) [nucl- ex/0410022]. [13] J. Adams et al. [STAR Collaboration], Nucl. Phys. A 757, 102 (2005) [nucl- ex/0501009]. [14] M. Gyulassy and L. McLerran, Nucl. Phys. A 750, 30 (2005) [nucl- th/0405013]. [15] P. Jacobs and X. -N. Wang, Prog. Part. Nucl. Phys. 54, 443 (2005) [hep- ph/0405125]. 90REFERENCE 91 [16] U. W. Heinz, in ’Relativistic Heavy Ion Physics’, Landolt-Boernstein New Series, I/23, edited by R. Stock (Springer Verlag, New York,2010) Chap. 5 [arXiv:0901.4355 [nucl-th]]. [17] P. Braun-Munzinger, K. Redlich and J. Stachel, In *Hwa, R.C. (ed.) et al.: Quark gluon plasma* 491-599 [nucl-th/0304013]. [18] M. Luzum and P. Romatschke, Phys. Rev. C 78, 034915 (2008). [19] H. Song, S. A. Bass, U. Heinz, T. Hirano and C. Shen, Phys. Rev. Lett. 106, 192301 (2011) [Erratum-ibid. 109, 139904 (2012)] [arXiv:1011.2783 [nucl-th]]. [20] H. B. Meyer, Phys. Rev. D 76, 101701 (2007). [21] P. B. Arnold, G. D. Moore and L. G. Ya e, JHEP 0011, 001 (2000) [hep- ph/0010177]. [22] M. E. Carrington, D. -f. Hou and R. Kobes, Phys. Rev. D 62, 025010 (2000) [hep-ph/9910344]. [23] E. Wang and U. W. Heinz, Phys. Lett. B 471, 208 (1999) [hep-ph/9910367]. [24] Y. Hidaka and T. Kunihiro, Phys. Rev. D 83, 076004 (2011) [arXiv:1009.5154 [hep-ph]]. [25] J. -S. Gagnon and S. Jeon, Phys. Rev. D 76, 105019 (2007) [arXiv:0708.1631 [hep-ph]]. [26] P. B. Arnold, G. D. Moore and L. G. Ya e, JHEP 0301, 030 (2003) [hep- ph/0209353]. [27] P. B. Arnold, C. Dogan and G. D. Moore, Phys. Rev. D 74, 085021 (2006) [hep-ph/0608012]. [28] J. -W. Chen and E. Nakano, Phys. Lett. B 647, 371 (2007) [hep-ph/0604138]. [29] J. -W. Chen and J. Wang, Phys. Rev. C 79, 044913 (2009) [arXiv:0711.4824 [hep-ph]]. [30] J. -W. Chen, J. Deng, H. Dong and Q. Wang, arXiv:1107.0522 [hep-ph]. [31] J. -W. Chen, J. Deng, H. Dong and Q. Wang, Phys. Rev. D 83, 034031 (2011) [Erratum-ibid. D 84, 039902 (2011)] [arXiv:1011.4123 [hep-ph]]. [32] L.P. Kadano and P.C. Martin, Hydrodynamic Equations and Correlation Functions, Ann. Phys. (NY) 24, 419, (1963). [33] Hosoya, Akio and Sakagami, Masa-aki and Takao, Masaru, 'NONEQUI- LIBRIUM THERMODYNAMICS IN FIELD THEORY: TRANSPORT CO- EFFICIENTS', 'Annals Phys.154, pages229, 10.1016/0003-4916(84)90144-1, 1984,OU-HET-53 [34] R. Horsley and W. Schoenmaker, Nucl. Phys. B 280, 716 (1987).REFERENCE 92 [35] Y. Hidaka and T. Kunihiro, Phys. Rev. D 83, 076004 (2011) [arXiv:1009.5154 [hep-ph]]. [36] J. -S. Gagnon and S. Jeon, Phys. Rev. D 76, 105019 (2007) [arXiv:0708.1631 [hep-ph]]. [37] R. K. Ellis and J. C. Sexton, Nucl. Phys. B 269, 445 (1986). [38] F. A. Berends, R. Kleiss, P. De Causmaecker, R. Gastmans and T. T. Wu, Phys. Lett. B 103, 124 (1981). [39] S. Mrowczynski and M. H. Thoma, Phys. Rev. D 62, 036011 (2000) [hep- ph/0001164]. [40] S.Jeon, Phys.Rev.,D47,4568 [41] M. E. Carrington, D. -f. Hou and R. Kobes, Phys. Rev. D 62, 025010 (2000) [hep-ph/9910344]. [42] E. Wang and U. W. Heinz, Phys. Lett. B 471, 208 (1999) [hep-ph/9910367]. [43] S. Mrowczynski and M. H. Thoma, Phys. Rev. D 62, 036011 (2000) [hep- ph/0001164]. [44] M. E. Carrington, D. -f. Hou and M. H. Thoma, Eur. Phys. J. C 7, 347 (1999) [hep-ph/9708363]. [45] J. I. Kapusta, Nucl. Phys. B 148, 461 (1979). [46] J. -W. Chen, Y. -H. Li, Y. -F. Liu and E. Nakano, Phys. Rev. D 76, 114011 (2007) [hep-ph/0703230]. [47] C. -J. D. Lin, K. Ogawa, H. Ohki and E. Shintani, JHEP 1208, 096 (2012) [arXiv:1205.6076 [hep-lat]]. [48] P. B. Arnold, G. D. Moore and L. G. Ya e, JHEP 0305, 051 (2003) [hep- ph/0302165]. [49] A. Hosoya and K. Kajantie, Nucl. Phys. B250, 666 (1985). [50] A. Hosoya, M. Sakagami and M. Takao, Annals Phys. 154, 229 (1984). [51] S. Chakrabarty, Pramana 25, 673 (1985). [52] W. Czy» and W. Florkowski, Acta Phys. Polon. B17, 819 (1986). [53] D. W. von Oertzen, Phys. Lett. B280, 103 (1992). [54] M. H. Thoma, Phys. Lett. B269, 144 (1991). [55] S. V. Ilin, A. D. Panferov and Y. M. Sinyukov, Phys. Lett. B227, 455 (1989). [56] J. Ahonen and K. Enqvist, Phys. Lett. B382, 40 (1996) [hep-ph/9602357]. [57] H. Davoudiasl and E. Westphal, Phys. Lett. B432, 128 (1998) [hep- ph/9802335].REFERENCE 93 [58] J. Ahonen, Phys. Rev. D59, 023004 (1999) [hep-ph/9801434]. [59] J. Frenkel and J. Taylor, Nucl. Phys. B334, 199 (1990). [60] J. Taylor and S. Wong, Nucl. Phys. B346, 115 (1990). [61] G. Baym, H. Monien, C. J. Pethick and D. G. Ravenhall, Phys. Rev. Lett. 64, 1867 (1990); Nucl. Phys. A525, 415C (1991). [62] H. A. Weldon, Phys. Rev. D26, 2789 (1982). [63] J. -W. Chen, H. Dong, K. Ohnishi and Q. Wang, Phys. Lett. B 685, 277 (2010) [arXiv:0907.2486 [nucl-th]]. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/62778 | - |
| dc.description.abstract | 本篇論文探討有限化學勢跟有限溫度下之夸克膠子電漿的傳輸係數包括剪切黏滯係數、體黏滯係數與傳導係數。並在等效動能理論的架構下計算這些傳輸係數。這裡探討的是弱耦合極高溫之夸克膠子電漿因此真空沒有發生自發對稱破缺。我們發現剪切黏滯係數除以熵密度的最小值發生在化學勢為零且有十六種夸克的夸克膠子電漿裡(夸克種類數的極限為十六因為那是漸進自由的極限)。對體黏滯細數來說，貝塔函數對體黏滯細數的性質有很深刻的影響，而且體黏滯細數除以熵密度的值不太隨化學勢而改變。在一個有多種夸克的夸克膠子電漿裡傳導系數被描述成一個矩陣。當化學勢為零時，這矩陣的非對角元素為零。但隨著化學勢增大，這些非對角元素會變成負值。當考慮總夸克流的傳導係數時，發現它是正的而且會隨化學勢的增大而減小。 | zh_TW |
| dc.description.abstract | We investigate the transport coe cients of quark-gluon plasma with nite temperature and nite chemical potential. Those transport coe cients are calculated in the framework of e ective kinetic theory. The quark-gluon plasma is assumed to
be at very high temperature thus weakly-coupled and the vacuum has no spontaneous symmetry breaking. We found that the shear viscosity over entropy density (η/s) reaches its minimun when the chemical potential is zero and the avor number is large. For bulk viscosity (ζ), beta function dominates its property and ζ/s is insensitive to the chemical potential. For conductivity matrix (λ ab ), at leading-log order the o -diagonal terms is zero when the chemical potential is zero and starts to become negtive when chemical potential increases. The conductivity for total quark number (λ) is positive but decreases as chemical potential increase. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-16T16:10:09Z (GMT). No. of bitstreams: 1 ntu-102-D95222015-1.pdf: 1069033 bytes, checksum: 3d37ad6084128b44eedebb13d92a232f (MD5) Previous issue date: 2013 | en |
| dc.description.tableofcontents | 1 Introduction 1
2 Eective Kinetic Theory 5 2.1 Elastic and inelastic process . . . . . . . . . . . . . . . . . . . . . . 6 2.2 Soft screening and hard eective thermal masses . . . . . . . . . . . 12 2.3 Linearized Boltzmann Equation . . . . . . . . . . . . . . . . . . . . 15 2.4 Energy-Momentum Tensor and Quark Number current . . . . . . . 25 2.5 Landau-Lifshitz constrains and zero modes . . . . . . . . . . . . . . 26 2.6 Variational method . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 2.7 Entropy density . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 3 Shear Viscosity 31 3.1 Leading-log order . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 3.2 Leading order . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 4 Bulk Viscosity 38 4.1 Leading-log order . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 4.2 Leading order . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 5 Conductivity 47 5.1 Positive entropy production and hydrodynamics structure for con- ductivity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 5.2 Leading-log order . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 5.2.1 Two avors case (u and d) . . . . . . . . . . . . . . . . . . . 53 5.2.2 Total quark number current at isospin symmetry . . . . . . 62 6 Conclusion 67 A Linearization of the Boltzmann equation 68 B Energy-momentum tensor 73 C Quark number current and its conservation 82 D Checking of the orthogonal condition 86 | |
| dc.language.iso | en | |
| dc.subject | 有限 | zh_TW |
| dc.subject | 夸克 | zh_TW |
| dc.subject | 膠子 | zh_TW |
| dc.subject | 電漿 | zh_TW |
| dc.subject | 傳輸係數 | zh_TW |
| dc.subject | 剪切黏滯 | zh_TW |
| dc.subject | 體黏滯 | zh_TW |
| dc.subject | 傳導 | zh_TW |
| dc.subject | 係數 | zh_TW |
| dc.subject | 化學勢 | zh_TW |
| dc.subject | 溫度 | zh_TW |
| dc.subject | 弱耦合 | zh_TW |
| dc.subject | 貝塔函數 | zh_TW |
| dc.subject | 熵 | zh_TW |
| dc.subject | shear | en |
| dc.subject | Transport | en |
| dc.subject | beta function | en |
| dc.subject | diffusion | en |
| dc.subject | coefficients | en |
| dc.subject | quark | en |
| dc.subject | gluon | en |
| dc.subject | conductivity | en |
| dc.subject | viscosity | en |
| dc.subject | plasma | en |
| dc.subject | finite | en |
| dc.subject | chemical | en |
| dc.subject | bulk | en |
| dc.subject | potential | en |
| dc.subject | temperature | en |
| dc.subject | entropy | en |
| dc.title | 有限溫度與化學勢下之夸克膠子電漿的傳輸係數 | zh_TW |
| dc.title | Transport coefficients of quark gluon plasma with finite chemical potential and temperature | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 101-2 | |
| dc.description.degree | 博士 | |
| dc.contributor.oralexamcommittee | 高崇文(Chung-Wen Kao),溫文鈺(Wen-Yu Wen),林及仁(Chi-Jen Lin),江府峻(Fu-Jiun Jiang) | |
| dc.subject.keyword | 夸克,膠子,電漿,傳輸係數,剪切黏滯,體黏滯,傳導,係數,有限,化學勢,溫度,弱耦合,貝塔函數,熵, | zh_TW |
| dc.subject.keyword | Transport,coefficients,quark,gluon,plasma,finite,chemical,potential,temperature,entropy,shear,bulk,viscosity,conductivity,diffusion,beta function, | en |
| dc.relation.page | 93 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2013-03-07 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 物理研究所 | zh_TW |
| 顯示於系所單位： | 物理學系 | |
文件中的檔案：
| 檔案 | 大小 | 格式 | |
|---|---|---|---|
| ntu-102-1.pdf 未授權公開取用 | 1.04 MB | Adobe PDF |
系統中的文件，除了特別指名其著作權條款之外，均受到著作權保護，並且保留所有的權利。