Fluctuations around Bjorken ow and the onset of turbulent phenomena

Journal of High Energy Physics

Volumn 2011, Issue 11, 2011, Pages

  Floerchinger, Stefan ^a   Wiedemann, Urs Achim ^a  

^a CERN   (Switzerland)

Author keywords

Hadronic colliders; Phenomenological models

Indexed keywords

EID: 84255161050     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP11(2011)100     Document Type: Article

References (68)

1. L.D. Landau, On the multiparticle production in high-energy collisions, Izv. Akad. Nauk SSSR Ser. Fiz. 17 (1953) 51.
2. H. Gustafsson et al., Collective Flow Observed in Relativistic Nuclear Collisions, Phys. Rev. Lett. 52 (1984) 1590.
3. J.-Y. Ollitrault, Anisotropy as a signature of transverse collective ow, Phys. Rev. D 46 (1992) 229.
4. J.-Y. Ollitrault, Flow systematics from SIS to SPS energies, Nucl. Phys. A 638 (1998) 195 [nucl-ex/9802005].
5. NA49 collaboration, H. Appelshauser et al., Directed and elliptic ow in 158-GeV/nucleon Pb + Pb collisions, Phys. Rev. Lett. 80 (1998) 4136 [nucl-ex/9711001].
6. D. Teaney, J. Lauret and E.V. Shuryak, Flow at the SPS and RHIC as a quark gluon plasma signature, Phys. Rev. Lett. 86 (2001) 4783 [nucl-th/0011058].
7. D. Teaney, J. Lauret and E. Shuryak, A Hydrodynamic description of heavy ion collisions at the SPS and RHIC, nucl-th/0110037.
8. P. Kolb, P. Huovinen, U.W. Heinz and H. Heiselberg, Elliptic ow at SPS and RHIC: From kinetic transport to hydrodynamics, Phys. Lett. B 500 (2001) 232 [hep-ph/0012137].
9. P. Kolb, U.W. Heinz, P. Huovinen, K. Eskola and K. Tuominen, Centrality dependence of multiplicity, transverse energy and elliptic ow from hydrodynamics, Nucl. Phys. A 696 (2001) 197 [hep-ph/0103234].
10. J. Bjorken, Highly Relativistic Nucleus-Nucleus Collisions: The Central Rapidity Region, Phys. Rev. D 27 (1983) 140.
11. D. Teaney, The Effects of viscosity on spectra, elliptic ow and HBT radii, Phys. Rev. C 68 (2003) 034913 [nucl-th/0301099].
12. U.W. Heinz, Relativistic Heavy Ion Physics, Landolt-Börnstein-Group I Elementary Particles, Nuclei and Atoms. Vol. 23: Early collective expansion: Relativistic hydrodynamics and the transport properties of QCD matter, R. Stock eds., Springer Verlag, New York U.S.A. (2010) [arXiv:0901.4355].
13. P. Romatschke, New Developments in Relativistic Viscous Hydrodynamics, Int. J. Mod. Phys. E 19 (2010) 1 [arXiv:0902.3663].
14. D.A. Teaney, Viscous Hydrodynamics and the Quark Gluon Plasma, arXiv:0905.2433.
15. T. Hirano, Relativistic Hydrodynamics at RHIC and LHC, Prog. Theor. Phys. Suppl. 168 (2007) 347 [arXiv:0704.1699].
16. T. Hirano, U.W. Heinz, D. Kharzeev, R. Lacey and Y. Nara, Hadronic dissipative effects on elliptic ow in ultrarelativistic heavy-ion collisions, Phys. Lett. B 636 (2006) 299 [nucl-th/0511046].
17. P. Romatschke and U. Romatschke, Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?, Phys. Rev. Lett. 99 (2007) 172301 [arXiv:0706.1522].
18. ALICE collaboration, R. Snellings, Anisotropic ow at the LHC measured with the ALICE detector, to be published in J. Phys. G, arXiv:1106.6284.
19. ALICE collaboration, J.F. Grosse-Oetringhaus, Hadron Correlations in Pb-Pb collisions at p sNN = 2:76TeV with ALICE, to be published in J. Phys. G, arXiv:1107.0556.
20. ATLAS collaboration, J. Jia, Measurement of elliptic and higher order ow from ATLAS experiment at the LHC, to be published in J. Phys. G, arXiv:1107.1468.
21. CMS collaboration, J. Velkovskaya, Proceedings of Quark Matter 2011, to be published in J. Phys. G.
22. STAR collaboration, P. Sorensen, Proceedings of Quark Matter 2011, to be published in J. Phys. G.
23. PHENIX collaboration, S. Esumi, Proceedings of Quark Matter 2011, to be published in J. Phys. G.
24. B. Alver and G. Roland, Collision geometry uctuations and triangular ow in heavy-ion collisions, Phys. Rev. C 81 (2010) 054905 [arXiv:1003.0194].
25. P. Sorensen, Implications of space-momentum correlations and geometric uctuations in heavy-ion collisions, J. Phys. G G 37 (2010) 094011 [arXiv:1002.4878].
26. B. Alver et al., Importance of correlations and uctuations on the initial source eccentricity in high-energy nucleus-nucleus collisions, Phys. Rev. C 77 (2008) 014906 [arXiv:0711.3724].
27. M. Luzum, Flow uctuations and long-range correlations: elliptic ow and beyond, arXiv:1107.0592.
28. B. Schenke, Flow in heavy-ion collisions | Theory Perspective, arXiv:1106.6012.
29. W. Broniowski, P. Bozek and M. Rybczynski, Fluctuating initial conditions in heavy-ion collisions from the Glauber approach, Phys. Rev. C 76 (2007) 054905 [arXiv:0706.4266].
30. T. Hirano and Y. Nara, Eccentricity Fluctuation in Initial Conditions of Hydrodynamics, Nucl. Phys. A 830 (2009) 191C{194C [arXiv:0907.2966].
31. P. Staig and E. Shuryak, The Fate of the Initial State Fluctuations in Heavy Ion Collisions. II The Fluctuations and Sounds, Phys. Rev. C 84 (2011) 034908 [arXiv:1008.3139].
32. P. Staig and E. Shuryak, The Fate of the Initial State Fluctuations in Heavy Ion Collisions. III The Second Act of Hydrodynamics, arXiv:1105.0676.
33. A. Mifocsy and P. Sorensen, The Sound of the Little Bangs, arXiv:1008.3381.
34. U.W. Heinz and J. Moreland, Energy dependent growth of the nucleon and hydrodynamic initial conditions, arXiv:1108.5379.
35. J. Takahashi et al., Topology studies of hydrodynamics using two particle correlation analysis, Phys. Rev. Lett. 103 (2009) 242301 [arXiv:0902.4870].
36. H. Petersen and M. Bleicher, Eccentricity uctuations in an integrated hybrid approach: Inuence on elliptic ow, Phys. Rev. C 81 (2010) 044906 [arXiv:1002.1003].
37. H. Petersen, G.-Y. Qin, S.A. Bass and B. Müller, Triangular ow in event-by-event ideal hydrodynamics in Au+Au collisions at p sNN = 200A GeV, Phys. Rev. C 82 (2010) 041901 [arXiv:1008.0625].
38. G.-Y. Qin, H. Petersen, S.A. Bass and B. Müller, Translation of collision geometry uctuations into momentum anisotropies in relativistic heavy-ion collisions, Phys. Rev. C 82 (2010) 064903 [arXiv:1009.1847].
39. H. Holopainen, H. Niemi and K.J. Eskola, Event-by-event hydrodynamics and elliptic ow from uctuating initial state, Phys. Rev. C 83 (2011) 034901 [arXiv:1007.0368].
40. Z. Qiu and U.W. Heinz, Event-by-event shape and ow uctuations of relativistic heavy-ion collision efreballs, Phys. Rev. C 84 (2011) 024911 [arXiv:1104.0650].
41. B. Schenke, S. Jeon and C. Gale, Elliptic and triangular ow in event-by-event (3 + 1)D viscous hydrodynamics, Phys. Rev. Lett. 106 (2011) 042301 [arXiv:1009.3244].
42. B. Schenke, S. Jeon and C. Gale, (3 + 1)D hydrodynamic simulation of relativistic heavy-ion collisions, Phys. Rev. C 82 (2010) 014903 [arXiv:1004.1408].
43. K. Werner, I. Karpenko, T. Pierog, M. Bleicher and K. Mikhailov, Event-by-Event Simulation of the Three-Dimensional Hydrodynamic Evolution from Flux Tube Initial Conditions in Ultrarelativistic Heavy Ion Collisions, Phys. Rev. C 82 (2010) 044904 [arXiv:1004.0805].
44. B.H. Alver, C. Gombeaud, M. Luzum and J.-Y. Ollitrault, Triangular ow in hydrodynamics and transport theory, Phys. Rev. C 82 (2010) 034913 [arXiv:1007.5469].
45. M. Gyulassy, D.H. Rischke and B. Zhang, Hot spots and turbulent initial conditions of quark-gluon plasmas in nuclear collisions, Nucl. Phys. A 613 (1997) 397 [nucl-th/9609030].
46. M. Miller and R. Snellings, Eccentricity uctuations and its possible effect on elliptic ow measurements, nucl-ex/0312008.
47. J. Socolowski, O., F. Grassi, Y. Hama and T. Kodama, Fluctuations of the initial conditions and the continuous emission in hydro description of two-pion interferometry, Phys. Rev. Lett. 93 (2004) 182301 [hep-ph/0405181].
48. P. Romatschke, Fluid turbulence and eddy viscosity in relativistic heavy-ion collisions, Prog. Theor. Phys. Suppl. 174 (2008) 137 [arXiv:0710.0016].
49. A.P. Mishra, R.K. Mohapatra, P. Saumia and A.M. Srivastava, Using cosmic microwave background radiation analysis tools for ow anisotropies in relativistic heavy-ion collisions, Phys. Rev. C 81 (2010) 034903 [arXiv:0811.0292].
50. P.B. Arnold and G.D. Moore, The Turbulent spectrum created by non-Abelian plasma instabilities, Phys. Rev. D 73 (2006) 025013 [hep-ph/0509226].
51. A. Mueller, A. Shoshi and S. Wong, On Kolmogorov Wave Turbulence in QCD, Nucl. Phys. B 760 (2007) 145 [hep-ph/0607136].
52. J. Berges, S. Schefier and D. Sexty, Turbulence in nonabelian gauge theory, Phys. Lett. B 681 (2009) 362 [arXiv:0811.4293].
53. J. Berges, D. Gelfand, S. Schefier and D. Sexty, Simulating plasma instabilities in SU(3) gauge theory, Phys. Lett. B 677 (2009) 210 [arXiv:0812.3859].
54. A. Ipp, A. Rebhan and M. Strickland, Non-Abelian plasma instabilities: SU(3) vs. SU(2), Phys. Rev. D 84 (2011) 056003 [arXiv:1012.0298].
55. M.L. Miller, K. Reygers, S.J. Sanders and P. Steinberg, Glauber modeling in high energy nuclear collisions, Ann. Rev. Nucl. Part. Sci. 57 (2007) 205 [nucl-ex/0701025].
56. S. Pratt, Resolving the HBT Puzzle in Relativistic Heavy Ion Collision, Phys. Rev. Lett. 102 (2009) 232301 [arXiv:0811.3363].
57. W. Broniowski, M. Chojnacki, W. Florkowski and A. Kisiel, Uniform Description of Soft Observables in Heavy-Ion Collisions at p sNN = 200 GeV, Phys. Rev. Lett. 101 (2008) 022301 [arXiv:0801.4361].
58. W. Jas and S. Mrowczynski, Evolution of anisotropy of parton system from relativistic heavy-ion collisions, Phys. Rev. C 76 (2007) 044905 [arXiv:0706.2273].
59. W. Broniowski, W. Florkowski, M. Chojnacki and A. Kisiel, Free-streaming approximation in early dynamics of relativistic heavy-ion collisions, Phys. Rev. C 80 (2009) 034902 [arXiv:0812.3393].
60. Y. Sinyukov and I. Karpenko, Hydrokinetic predictions for femtoscopy scales in A+A collisions in the light of recent ALICE LHC results, arXiv:1103.5632.
61. A.N. Kolmogorov, Dissipation of energy in locally isotropic turbulence, Dokl. Akad. Nauk SSSR 32 (1941) 16 [Proc. R. Soc. Lond. A 434 (1991) 15].
62. R.H. Kraichnan, Inertial ranges in two-dimensional turbulence, Phys. Fluids 10 (1967) 1417.
63. G.K. Batchelor, Computation of the energy spectrum in homogeneous two-dimensional turburlence, Phys. Fluids 12 (1969) 233.
64. U. Frisch, Turbulence, Cambridge University Press, Cambridge U.K. (1995).
65. S.B. Pope, Turbulent Flows, Cambridge University Press, Cambridge U.K. (2000).
66. P.A. Davidson, Turbulence: An Introduction for Scientists and Engineers, Oxford University Press, Oxford U.K. (2004).
67. L.F. Richardson, Wheater Prediction by Numerical Process, Cambridge University Press, Cambridge U.K. (1922).
68. M.A. Lisa, S. Pratt, R. Soltz and U. Wiedemann, Femtoscopy in relativistic heavy ion collisions, Ann. Rev. Nucl. Part. Sci. 55 (2005) 357 [nucl-ex/0505014].