A flow paradigm in heavy-ion collisions

  • The success of hydrodynamics in high energy heavy-ion collisions leads to a flow paradigm, to understand the observed features of harmonic flow in terms of the medium collective expansion with respect to initial state geometrical properties. In this review, we present some essential ingredients in the flow paradigm, including the hydrodynamic modeling, the characterization of initial state geometry and the medium response relations. The extension of the flow paradigm to small colliding systems is also discussed.
      PCAS:
  • 加载中
  • [1] Edward Shuryak, Prog. Part. Nucl. Phys., 62:48-101 (2009)
    [2] Edward Shuryak, Rev. Mod. Phys., 89:035001 (2017)
    [3] Misha A. Stephanov, K. Rajagopal, and Edward V. Shuryak, Phys. Rev. Lett., 81:4816-4819 (1998)
    [4] P. Kovtun, Dan T. Son, and Andrei O. Starinets, Phys. Rev. Lett., 94:111601 (2005)
    [5] Miklos Gyulassy, Ivan Vitev, Xin-Nian Wang, and Ben-Wei Zhang, Jet quenching and radiative energy loss in dense nuclear matter, 2003
    [6] R. Rapp, D. Blaschke, and P. Crochet, Prog. Part. Nucl. Phys., 65:209-266 (2010)
    [7] Thomas Peitzmann and Markus H. Thoma, Phys. Rept., 364:175-246 (2002)
    [8] Jean-Franois Paquet, Chun Shen, Gabriel S. Denicol, Matthew Luzum, Bjrn Schenke, Sangyong Jeon, and Charles Gale, Phys. Rev. C, 93 (4):044906 (2016)
    [9] Dmitri E. Kharzeev, Larry D. McLerran, and Harmen J. Warringa, Nucl. Phys. A, 803:227-253 (2008)
    [10] H. Niemi, K. J. Eskola, R. Paatelainen, and K. Tuominen, Phys. Rev. C, 93 (1):014912 (2016)
    [11] Ekaterina Retinskaya, Matthew Luzum, and Jean-Yves Ollitrault, Phys. Rev. C, 89 (1):014902 (2014)
    [12] J. Scott Moreland and Ron A. Soltz, Phys. Rev. C, 93 (4):044913 (2016)
    [13] Akihiko Monnai and Jean-Yves Ollitrault, Phys. Rev. C, 96 (4):044902 (2017)
    [14] Pasi Huovinen and Pter Petreczky, Nucl. Phys. A, 837:26-53 (2010)
    [15] Paul Romatschke, Int. J. Mod. Phys. E, 19:1-53 (2010)
    [16] Rudolf Baier, Paul Romatschke, Dam Thanh Son, Andrei O. Starinets, and Mikhail A. Stephanov, JHEP, 04:100 (2008)
    [17] G. S. Denicol, H. Niemi, E. Molnar, and D. H. Rischke, Phys. Rev. D, 85:114047 (2012); Phys. Rev. D, 91 (3):039902 (2015)
    [18] H. Niemi and G. S. Denicol, How large is the Knudsen number reached in fluid dynamical simulations of ultrarelativistic heavy ion collisions?, 2014
    [19] Scott McDonald, Chun Shen, Francois Fillion-Gourdeau, Sangyong Jeon, and Charles Gale, Phys. Rev. C, 95 (6):064913 (2017)
    [20] Jing Qian, Ulrich W. Heinz, and Jia Liu, Phys. Rev. C, 93 (6):064901 (2016)
    [21] Jacquelyn Noronha-Hostler, Li Yan, Fernando G. Gardim, and Jean-Yves Ollitrault, Phys. Rev. C, 93 (1):014909 (2016)
    [22] Chandrodoy Chattopadhyay, Rajeev S. Bhalerao, Jean-Yves Ollitrault, and Subrata Pal, Effects of initial-state dynamics on collective flow within a coupled transport and viscous hydrodynamic approach, 2017
    [23] D. Landau and E. Lifshitz, Statistical Physics Part 2, volume 6 of Course of Theoretical Physics, Pergamon Press, 2 edition, 1987
    [24] Azumi Sakai, Koichi Murase, and Tetsufumi Hirano, Nucl. Phys. A, 967:445-448 (2017)
    [25] C. Young, J. I. Kapusta, C. Gale, S. Jeon, and B. Schenke, Phys. Rev. C, 91 (4):044901 (2015)
    [26] Li Yan and Hanna Grnqvist, JHEP, 03:121 (2016)
    [27] J. I. Kapusta, B. Muller, and M. Stephanov, Phys. Rev. C, 85:054906 (2012)
    [28] Kenji Fukushima, Rept. Prog. Phys., 80 (2):022301 (2017)
    [29] Wojciech Florkowski, Michal P. Heller, and Michal Spalinski, New theories of relativistic hydrodynamics in the LHC era, 2017
    [30] M. Habich, G. A. Miller, P. Romatschke, and W. Xiang, Eur. Phys. J. C, 76 (7):408 (2016)
    [31] Bjoern Schenke, Prithwish Tribedy, and Raju Venugopalan, Phys. Rev. Lett., 108:252301 (2012)
    [32] B. Alver, M. Baker, C. Loizides, and P. Steinberg, The PHOBOS Glauber Monte Carlo, 2008
    [33] Dmitri Kharzeev, Eugene Levin, and Marzia Nardi, Nucl. Phys. A, 747:609-629 (2005)
    [34] J. Scott Moreland, Jonah E. Bernhard, and Steffen A. Bass, Phys. Rev. C, 92 (1):011901 (2015)
    [35] H. Niemi, K. J. Eskola, and R. Paatelainen, Phys. Rev. C, 93 (2):024907 (2016)
    [36] Fred Cooper and Graham Frye, Phys. Rev. D, 10:186 (1974)
    [37] Derek Teaney, Phys. Rev. C, 68:034913 (2003)
    [38] Akihiko Monnai and Tetsufumi Hirano, Phys. Rev. C, 80:054906 (2009)
    [39] Piotr Bozek, Phys. Rev. C, 81:034909 (2010)
    [40] Derek Teaney and Li Yan, Phys. Rev. C, 89 (1):014901 (2014)
    [41] S. A. Bass et al, Prog. Part. Nucl. Phys., 41:255-369 (1998)
    [42] Jean-Yves Ollitrault, Phys. Rev. D, 46:229-245 (1992)
    [43] Derek Teaney and Li Yan, Phys. Rev. C, 83:064904 (2011)
    [44] Ekaterina Retinskaya, Matthew Luzum, and Jean-Yves Ollitrault, Phys. Rev. Lett., 108:252302 (2012)
    [45] Nicolas Borghini, Phys. Rev. C, 75:021904 (2007)
    [46] B. Alver and G. Roland, Phys. Rev. C, 81:054905 (2010); Phys. Rev. C, 82:039903 (2010)
    [47] Steven S. Gubser and Amos Yarom, Nucl. Phys. B, 846:469-511 (2011)
    [48] K. M. O'Hara, S. L. Hemmer, M. E. Gehm, S. R. Granade, and J. E. Thomas, Science, 298:2179-2182 (2002)
    [49] Huichao Song and Ulrich W. Heinz, Phys. Rev. C, 78:024902 (2008)
    [50] Stefan Floerchinger and Urs Achim Wiedemann, JHEP, 08:005 (2014)
    [51] Stefan Floerchinger and Urs Achim Wiedemann, Phys. Lett. B, 728:407-411 (2014)
    [52] Rajeev S. Bhalerao, Jean-Yves Ollitrault, Subrata Pal, and Derek Teaney, Phys. Rev. Lett., 114 (15):152301 (2015)
    [53] Aleksas Mazeliauskas and Derek Teaney, Phys. Rev. C, 91 (4):044902 (2015)
    [54] Li Yan and Jean-Yves Ollitrault, Phys. Rev. Lett., 112:082301 (2014)
    [55] Li Yan, Jean-Yves Ollitrault, and Arthur M. Poskanzer, Phys. Rev. C, 90 (2):024903 (2014)
    [56] Sergei A. Voloshin, Arthur M. Poskanzer, Aihong Tang, and Gang Wang, Phys. Lett. B, 659:537-541 (2008)
    [57] Jean-Paul Blaizot, Wojciech Broniowski, and Jean-Yves Ollitrault. Continuous description of fluctuating eccentricities. Phys. Lett. B, 738:166-171 (2014)
    [58] Jean-Paul Blaizot, Wojciech Broniowski, and Jean-Yves Ollitrault, Phys. Rev. C, 90 (3):034906 (2014)
    [59] Hanna Grnqvist, Jean-Paul Blaizot, and Jean-Yves Ollitrault, Phys. Rev. C, 94 (3):034905 (2016)
    [60] Jiangyong Jia and Derek Teaney, Eur. Phys. J. C, 73:2558 (2013)
    [61] Li Yan, Phys. Rev. C, 91 (6):064909 (2015)
    [62] Rajeev S. Bhalerao, Matthew Luzum, and Jean-Yves Ollitrault, Phys. Rev. C, 84:054901 (2011)
    [63] B. Alver et al, Phys. Rev. C, 77:014906 (2008)
    [64] Rajeev S. Bhalerao, Jean-Yves Ollitrault, and Subrata Pal, Phys. Rev. C, 88:024909 (2013)
    [65] Li Yan and Jean-Yves Ollitrault, Phys. Lett. B, 744:82-87 (2015)
    [66] L. P. Kadanoff and P. C. Martin, Annals of Physics, 24 (10):419-469 (1963)
    [67] H. Niemi, G. S. Denicol, H. Holopainen, and P. Huovinen, Phys. Rev. C, 87 (5):054901 (2013)
    [68] J. D. Bjorken, Phys. Rev. D, 27:140-151 (1983)
    [69] Pilar Staig and Edward Shuryak, Phys. Rev. C, 84:044912 (2011)
    [70] Roy A. Lacey, D. Reynolds, A. Taranenko, N. N. Ajitanand, J. M. Alexander, Fu-Hu Liu, Yi Gu, and A. Mwai, J. Phys. G, 43 (10):10LT01 (2016)
    [71] Derek Teaney and Li Yan, Phys. Rev. C, 86:044908 (2012)
    [72] Fernando G. Gardim, Frederique Grassi, Matthew Luzum, and Jean-Yves Ollitrault, Phys. Rev. C, 85:024908 (2012)
    [73] Zhi Qiu and Ulrich W. Heinz, Phys. Rev. C, 84:024911 (2011)
    [74] Jing Qian, Ulrich Heinz, Ronghua He, and Lei Huo, Phys. Rev. C, 95 (5):054908 (2017)
    [75] Rajeev S. Bhalerao, Jean-Yves Ollitrault, and Subrata Pal, Phys. Lett. B, 742:94-98 (2015)
    [76] Shreyasi Acharya et al, Phys. Lett. B, 773:68-80 (2017)
    [77] Shengquan Tuo, Nucl. Phys. A, 967:381-384 (2017)
    [78] Georges Aad et al, Phys. Rev. C, 92 (3):034903 (2015)
    [79] Li Yan, Subrata Pal, and Jean-Yves Ollitrault, Nucl. Phys. A, 956:340-343 (2016)
    [80] Nicolas Borghini and Jean-Yves Ollitrault, Phys. Lett. B, 642:227-231 (2006)
    [81] Dieter Forster, David R. Nelson, and Michael J. Stephen, Phys. Rev. A, 16 (8):732-749 (1977)
    [82] Pavel Kovtun and Laurence G. Yaffe, Phys. Rev. D, 68:025007 (2003)
    [83] Pavel Kovtun, Guy D. Moore, and Paul Romatschke, Phys. Rev. D, 84:025006 (2011)
    [84] Yukinao Akamatsu, Aleksas Mazeliauskas, and Derek Teaney, Phys. Rev. C, 95 (1):014909 (2017)
    [85] Yukinao Akamatsu, Aleksas Mazeliauskas, and Derek Teaney, Bulk viscosity from hydrodynamic fluctuations with relativistic hydro-kinetic theory, 2017
    [86] Mauricio Martinez and Thomas Schfer, Hydrodynamic tails and a fluctuation bound on the bulk viscosity, 2017
    [87] Vardan Khachatryan et al, Phys. Rev. Lett., 116 (17):172302 (2016)
    [88] Serguei Chatrchyan et al, Phys. Lett. B, 724:213-240 (2013)
    [89] K. Aamodt et al, Phys. Lett. B, 708:249-264 (2012)
    [90] Fernando G. Gardim, Frederique Grassi, Matthew Luzum, and Jean-Yves Ollitrault, Phys. Rev. C, 87 (3):031901 (2013)
    [91] Ulrich Heinz, Zhi Qiu, and Chun Shen, Phys. Rev. C, 87 (3):034913 (2013)
    [92] Vardan Khachatryan et al, Phys. Rev. C, 92 (3):034911 (2015)
    [93] Igor Kozlov, Matthew Luzum, Gabriel Denicol, Sangyong Jeon, and Charles Gale, Transverse momentum structure of pair correlations as a signature of collective behavior in small collision systems, 2014
    [94] Jaroslav Adam et al, Phys. Rev. Lett., 116 (13):132302 (2016)
    [95] Nicolas Borghini, Phuong Mai Dinh, and Jean-Yves Ollitrault, Phys. Rev. C, 64:054901 (2001)
    [96] Nicolas Borghini, Phuong Mai Dinh, and Jean-Yves Ollitrault, Phys. Rev. C, 63:054906 (2001)
    [97] Georges Aad et al, JHEP, 11:183 (2013)
    [98] Giuliano Giacalone, Li Yan, Jacquelyn Noronha-Hostler, and Jean-Yves Ollitrault, Phys. Rev. C, 95 (1):014913 (2017)
    [99] Betty Bezverkhny Abelev et al, Phys. Rev. C, 90 (5):054901 (2014)
    [100] Georges Aad et al, Phys. Rev. C, 90 (2):024905 (2014)
    [101] Jaroslav Adam et al, Phys. Rev. Lett., 117:182301 (2016)
    [102] L. Adamczyk et al, Harmonic decomposition of three-particle azimuthal correlations at RHIC, 2017
    [103] L. Adamczyk et al, Constraining the initial conditions and temperature dependent transport with three-particle correlations in Au+Au collisions, 2017
    [104] Paul Romatschke and Ulrike Romatschke, Phys. Rev. Lett., 99:172301 (2007)
    [105] Jiangyong Jia and Soumya Mohapatra, Phys. Rev. C, 88 (1):014907 (2013)
    [106] James R. Castle, Nucl. Phys. A, 967:401-404 (2017)
    [107] Li Yan, Jean-Yves Ollitrault, and Arthur M. Poskanzer, Phys. Lett. B, 742:290-295 (2015)
    [108] Vardan Khachatryan et al, Phys. Rev. Lett., 115 (1):012301 (2015)
    [109] Adam Bzdak, Piotr Bozek, and Larry McLerran, Nucl. Phys. A, 927:15-23 (2014)
    [110] Jiangyong Jia and Sooraj Radhakrishnan, Phys. Rev. C, 92 (2):024911 (2015)
    [111] Georges Aad et al, Eur. Phys. J. C, 74 (11):3157 (2014)
    [112] Giuliano Giacalone, Li Yan, Jacquelyn Noronha-Hostler, and Jean-Yves Ollitrault, J. Phys. Conf. Ser., 779 (1):012064 (2017)
    [113] Matthew Luzum and Jean-Yves Ollitrault, Phys. Rev. C, 87 (4):044907 (2013)
    [114] D. Teaney and L. Yan, Phys. Rev. C, 90 (2):024902 (2014)
    [115] You Zhou, Nucl. Phys. A, 967:377-380 (2017)
    [116] Ante Bilandzic, Christian Holm Christensen, Kristjan Gulbrandsen, Alexander Hansen, and You Zhou, Phys. Rev. C, 89 (6):064904 (2014)
    [117] Giuliano Giacalone, Li Yan, Jacquelyn Noronha-Hostler, and Jean-Yves Ollitrault, Phys. Rev. C, 94 (1):014906 (2016)
    [118] Serguei Chatrchyan et al, Phys. Lett. B, 718:795-814 (2013)
    [119] Albert M Sirunyan et al, Observation of correlated azimuthal anisotropy Fourier harmonics in pp and pPb collisions at the LHC, 2017
    [120] Betty Bezverkhny Abelev et al, Phys. Lett. B, 726:164-177 (2013)
    [121] Morad Aaboud et al, Measurement of multi-particle azimuthal correlations with the subevent cumulant method in pp and p+Pb collisions with the ATLAS detector at the LHC, 2017
    [122] Morad Aaboud et al, Eur. Phys. J. C, 77 (6):428 (2017)
    [123] A. Adare et al, Phys. Rev. Lett., 114 (19):192301 (2015)
    [124] A. Adare et al, Phys. Rev. Lett., 115 (14):142301 (2015)
    [125] Vardan Khachatryan et al, Phys. Lett. B, 765:193-220 (2017)
    [126] Piotr Bozek, Phys. Rev. C, 85:014911 (2012)
    [127] Piotr Bozek and Wojciech Broniowski, Phys. Lett. B, 718:1557-1561 (2013)
    [128] Piotr Bozek and Wojciech Broniowski, Phys. Lett. B, 747:135-138 (2015)
    [129] Piotr Bozek and Wojciech Broniowski, Phys. Rev. C, 88 (1):014903 (2013)
    [130] J. L. Nagle, A. Adare, S. Beckman, T. Koblesky, J. Orjuela Koop, D. McGlinchey, P. Romatschke, J. Carlson, J. E. Lynn, and M. McCumber, Phys. Rev. Lett., 113 (11):112301 (2014)
    [131] Adam Bzdak, Bjoern Schenke, Prithwish Tribedy, and Raju Venugopalan, Phys. Rev. C, 87 (6):064906 (2013)
    [132] Bjoern Schenke and Raju Venugopalan, Phys. Rev. Lett., 113:102301 (2014)
    [133] Adam Bzdak and Guo-Liang Ma, Phys. Rev. Lett., 113 (25):252301 (2014)
    [134] Paul M. Chesler, JHEP, 03:146 (2016)
    [135] Gke Başar and Derek Teaney, Phys. Rev. C, 90 (5):054903 (2014)
    [136] Chun Shen, Ulrich Heinz, Pasi Huovinen, and Huichao Song, Phys. Rev. C, 84:044903 (2011)
    [137] Bjoern Schenke, Soeren Schlichting, Prithwish Tribedy, and Raju Venugopalan, Phys. Rev. Lett., 117 (16):162301 (2016)
    [138] Bjrn Schenke and Raju Venugopalan, Nucl. Phys. A, 931:1039-1044 (2014)
    [139] Paul Romatschke, Eur. Phys. J. C, 75 (7):305 (2015)
    [140] R. Baier, Alfred H. Mueller, D. Schiff, and D. T. Son, Phys. Lett. B, 502:51-58 (2001)
    [141] Aleksi Kurkela and Yan Zhu, Phys. Rev. Lett., 115 (18):182301 (2015)
    [142] Jean-Paul Blaizot and Li Yan, JHEP, 11:161 (2017)
    [143] Peter Brockway Arnold, Jonathan Lenaghan, Guy D. Moore, and Laurence G. Yaffe, Phys. Rev. Lett., 94:072302 (2005)
    [144] Paul M. Chesler and Laurence G. Yaffe, Phys. Rev. Lett., 102:211601 (2009)
    [145] Paul M. Chesler and Laurence G. Yaffe, JHEP, 10:070 (2015)
    [146] Dennis Bazow, Ulrich W. Heinz, and Michael Strickland, Phys. Rev. C, 90 (5):054910 (2014)
    [147] Mauricio Martinez and Michael Strickland, Nucl. Phys. A, 848:183-197 (2010)
    [148] Wojciech Florkowski and Radoslaw Ryblewski, Phys. Rev. C, 83:034907 (2011)
    [149] Paul Romatschke and Michael Strickland, Phys. Rev. D, 68:036004 (2003)
    [150] Michael Strickland, Acta Phys. Polon. B, 45 (12):2355-2394 (2014)
    [151] S.R. Groot, W.A. Leeuwen, and C.G. van Weert, Relativistic kinetic theory:principles and applications, (North-Holland Pub. Co., 1980)
    [152] Michal P. Heller, Aleksi Kurkela, and Michal Spalinski, Hydrodynamization and transient modes of expanding plasma in kinetic theory, 2016
    [153] Gabriel S. Denicol and Jorge Noronha, Divergence of the Chapman-Enskog expansion in relativistic kinetic theory, 2016
    [154] Michal P. Heller and Michal Spalinski, Phys. Rev. Lett., 115 (7):072501 (2015)
    [155] Michal P. Heller, Romuald A. Janik, and Przemyslaw Witaszczyk, Phys. Rev. Lett., 110 (21):211602 (2013)
    [156] Pavel K. Kovtun and Andrei O. Starinets, Phys. Rev. D, 72:086009 (2005)
    [157] Gerald V. Dunne and Mithat Unsal, JHEP, 11:170 (2012)
    [158] Gerald V. Dunne and Mithat nsal, PoS, LATTICE2015:010 (2016)
    [159] Daniele Dorigoni, An Introduction to Resurgence, TransSeries and Alien Calculus, 2014
    [160] Alex Buchel, Michal P. Heller, and Jorge Noronha, Phys. Rev. D, 94 (10):106011 (2016)
    [161] Michael Strickland, Jorge Noronha, and Gabriel Denicol, The anisotropic non-equilibrium hydrodynamic attractor, 2017
    [162] Gabriel S. Denicol and Jorge Noronha, Analytical attractor and the divergence of the slow-roll expansion in relativistic hydrodynamics, 2017
    [163] Paul Romatschke, Relativistic Hydrodynamic Attractors with Broken Symmetries:Non-Conformal and Non-Homogeneous, 2017
  • 加载中

Get Citation
Li Yan. A flow paradigm in heavy-ion collisions[J]. Chinese Physics C, 2018, 42(4): 042001. doi: 10.1088/1674-1137/42/4/042001
Li Yan. A flow paradigm in heavy-ion collisions[J]. Chinese Physics C, 2018, 42(4): 042001.  doi: 10.1088/1674-1137/42/4/042001 shu
Milestone
Received: 2018-01-03
Fund

    Supported by Natural Sciences and Engineering Research Council of Canada

Article Metric

Article Views(1614)
PDF Downloads(63)
Cited by(0)
Policy on re-use
To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

A flow paradigm in heavy-ion collisions

    Corresponding author: Li Yan,
Fund Project:  Supported by Natural Sciences and Engineering Research Council of Canada

Abstract: The success of hydrodynamics in high energy heavy-ion collisions leads to a flow paradigm, to understand the observed features of harmonic flow in terms of the medium collective expansion with respect to initial state geometrical properties. In this review, we present some essential ingredients in the flow paradigm, including the hydrodynamic modeling, the characterization of initial state geometry and the medium response relations. The extension of the flow paradigm to small colliding systems is also discussed.

    HTML

Reference (163)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return