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LP. Csernai, Sept. 4, 2001, Palaiseau FR 1 L.P. Csernai, C. Anderlik, V. Magas, D. Strottman.

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Presentation on theme: "LP. Csernai, Sept. 4, 2001, Palaiseau FR 1 L.P. Csernai, C. Anderlik, V. Magas, D. Strottman."— Presentation transcript:

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2 LP. Csernai, Sept. 4, 2001, Palaiseau FR 1 L.P. Csernai, C. Anderlik, V. Magas, D. Strottman

3 LP. Csernai, Sept. 4, 2001, Palaiseau FR 2 Multi Module Modeling Initial state - pre-equilibrium: Parton Cascade; Coherent Yang-Mills [Magas] Local Equilibrium  Hydro, EoS Final Freeze-out: Kinetic models, measurables If QGP  Sudden and simultaneous hadronization and freeze out (indicated by HBT, Strangeness, Entropy puzzle) Landau (1953), Milekhin (1958), Cooper & Frye (1974)

4 LP. Csernai, Sept. 4, 2001, Palaiseau FR 3 Matching Conditions  Conservation laws  Nondecreasing entropy

5 LP. Csernai, Sept. 4, 2001, Palaiseau FR 4 INITIAL STATE

6 LP. Csernai, Sept. 4, 2001, Palaiseau FR 5

7 6 Firestreak Picture Myers, Gosset, Kapusta, Westfall

8 LP. Csernai, Sept. 4, 2001, Palaiseau FR 7 String rope --- Flux tube --- Coherent YM field

9 LP. Csernai, Sept. 4, 2001, Palaiseau FR 8 Initial stage: Coherent Yang-Mills model [Magas, Csernai, Strottman, NEW’2001]

10 LP. Csernai, Sept. 4, 2001, Palaiseau FR 9 Yo – Yo Dynamics

11 LP. Csernai, Sept. 4, 2001, Palaiseau FR 10

12 LP. Csernai, Sept. 4, 2001, Palaiseau FR 11 Expanding string ropes – Full energy conservation

13 LP. Csernai, Sept. 4, 2001, Palaiseau FR 12 Initial state 3 rd flow component

14 LP. Csernai, Sept. 4, 2001, Palaiseau FR 13 3-Dim Hydro for RHIC (PIC)

15 LP. Csernai, Sept. 4, 2001, Palaiseau FR 14 3-dim Hydro for RHIC Energies Au+Au E CM =65 GeV/nucl. b=0.1 b max A σ =0.08 => σ~10 GeV/fm n / n 0 [ 1 ] e [ GeV / fm 3 ] T= 0.0 fm/c n max = 8.67 e max =32.46 GeV / fm 3 L x,y = 1.45 fm L z =0.145 fm x 1.3 fm

16 LP. Csernai, Sept. 4, 2001, Palaiseau FR 15 3-dim Hydro for RHIC Energies Au+Au E CM =65 GeV/nucl. b=0.1 b max A σ =0.08 => σ~10 GeV/fm n / n 0 [ 1 ] e [ GeV / fm 3 ] T=1.9 fm/c n max = 8.66 e max = GeV / fm 3 L x,y = 1.45 fm L z =0.145 fm..

17 LP. Csernai, Sept. 4, 2001, Palaiseau FR 16 3-dim Hydro for RHIC Energies Au+Au E CM =65 GeV/nucl. b=0.1 b max A σ =0.08 => σ~10 GeV/fm n / n 0 [ 1 ] e [ GeV / fm 3 ] T= 3.8 fm/c n max = 7.77 e max = GeV / fm 3 L x,y = 1.45 fm L z =0.145 fm x 1.3 fm

18 LP. Csernai, Sept. 4, 2001, Palaiseau FR 17 3-dim Hydro for RHIC Energies Au+Au E CM =65 GeV/nucl. b=0.1 b max A σ =0.08 => σ~10 GeV/fm n / n 0 [ 1 ] e [ GeV / fm 3 ] T= 5.7 fm/c n max = 6.36 e max = GeV / fm 3 L x,y = 1.45 fm L z =0.145 fm..

19 LP. Csernai, Sept. 4, 2001, Palaiseau FR 18 3-dim Hydro for RHIC Energies Au+Au E CM =65 GeV/nucl. b=0.1 b max A σ =0.08 => σ~10 GeV/fm n / n 0 [ 1 ] e [ GeV / fm 3 ] T= 7.6 fm/c n max = 5.22 e max = GeV / fm 3 L x,y = 1.45 fm L z =0.145 fm..

20 LP. Csernai, Sept. 4, 2001, Palaiseau FR 19 3-dim Hydro for RHIC Energies Au+Au E CM =65 GeV/nucl. b=0.1 b max A σ =0.08 => σ~10 GeV/fm n / n 0 [ 1 ] e [ GeV / fm 3 ] T= 9.5 fm/c n max = 4.45 e max = GeV / fm 3 L x,y = 1.45 fm L z =0.145 fm..

21 LP. Csernai, Sept. 4, 2001, Palaiseau FR 20 Global Flow Directed Transverse flow Elliptic flow 3 rd flow component (anti - flow) 3 rd flow component (anti - flow) Squeeze out

22 LP. Csernai, Sept. 4, 2001, Palaiseau FR 21 Third flow component [SPS NA49]

23 LP. Csernai, Sept. 4, 2001, Palaiseau FR 22 Third flow component / SPS / NA49

24 LP. Csernai, Sept. 4, 2001, Palaiseau FR 23 3 rd flow component and QGP Csernai & Röhrich [Phys.Lett.B458(99)454] observed a 3 rd flow component at SPS energies, not discussed before. Also observed that in ALL earlier fluid dynamical calculations with QGP in the EoS there is 3 rd flow comp. The effect was absent without QGP. In string and RQMD models only peripheral collision showed the effect (shadowing). The effect is attributed to a flat (Landau type) initial condition. Similarity to elliptic flow.

25 LP. Csernai, Sept. 4, 2001, Palaiseau FR 24 3 rd flow component Hydro [Csernai, HIPAGS’93]

26 LP. Csernai, Sept. 4, 2001, Palaiseau FR 25 A= fm / c

27 LP. Csernai, Sept. 4, 2001, Palaiseau FR 26 A= fm/c

28 LP. Csernai, Sept. 4, 2001, Palaiseau FR 27 Freeze out

29 LP. Csernai, Sept. 4, 2001, Palaiseau FR 28 Hypersurface

30 LP. Csernai, Sept. 4, 2001, Palaiseau FR 29 “Cooper-Frye” formula

31 LP. Csernai, Sept. 4, 2001, Palaiseau FR 30 Consequences of conservation laws:  Non-decreasing entropy current across front! (Space-like [Taub 1948], Time-like [Csernai 1987])

32 LP. Csernai, Sept. 4, 2001, Palaiseau FR 31 Space-like hypersurface

33 LP. Csernai, Sept. 4, 2001, Palaiseau FR 32 Cut – Juttner distribution: Pre FO velocity [Anderlik et al., Phys.Rev.C59(99)3309] [Bugaev, Nucl.Phys.A606(96)559] Θ(p.dσ) f(x,p)

34 LP. Csernai, Sept. 4, 2001, Palaiseau FR 33 Kinetic freeze-out models  Kinetic approach  f (x,p) out of equilibrium  Asymmetry

35 LP. Csernai, Sept. 4, 2001, Palaiseau FR 34 Freeze out model with rescattering [Anderlik et al., Phys.Rev.C59: ,1999 ]

36 LP. Csernai, Sept. 4, 2001, Palaiseau FR 35 Freeze out distribution with rescattering V=0 [V. Magas, et al.,] Heavy Ion Phys.9: ,1999

37 LP. Csernai, Sept. 4, 2001, Palaiseau FR 36 P-t distribution (T=130 MeV) [V. Magas et al., Phys.Lett.B459(99)33]

38 LP. Csernai, Sept. 4, 2001, Palaiseau FR 37


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