L.P. Csernai, C. Anderlik, V. Magas, D. Strottman - PowerPoint PPT Presentation

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Title: L.P. Csernai, C. Anderlik, V. Magas, D. Strottman


1
  • L.P. Csernai, C. Anderlik, V. Magas, D. Strottman

Modelling Relativistic Nuclear Collisions
Multi Module Models
Bergen
Computational Physics Lab.
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)
3
Matching Conditions
  • Conservation laws
  • Nondecreasing entropy

4
INITIAL STATE
5
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6
Firestreak Picture
Myers, Gosset, Kapusta, Westfall
7
String rope --- Flux tube --- Coherent YM field
8
Initial stage Coherent Yang-Mills model
Magas, Csernai, Strottman, NEW2001
9
Yo Yo Dynamics
10
(No Transcript)
11
Expanding string ropes Full energy conservation
12
Initial state
3rd flow component
13
3-Dim Hydro for RHIC (PIC)
14
3-dim Hydro for RHIC Energies
AuAu ECM65 GeV/nucl. b0.1 bmax As0.08
gt s10 GeV/fm
n / n0 1
e GeV / fm3
.
.
T 0.0 fm/c nmax 8.67 emax32.46 GeV / fm3
Lx,y 1.45 fm Lz0.145 fm
4.4 x 1.3 fm
15
3-dim Hydro for RHIC Energies
AuAu ECM65 GeV/nucl. b0.1 bmax As0.08
gt s10 GeV/fm
n / n0 1
e GeV / fm3
.
.
T1.9 fm/c nmax 8.66 emax 31.82 GeV / fm3
Lx,y 1.45 fm Lz0.145 fm
16
3-dim Hydro for RHIC Energies
AuAu ECM65 GeV/nucl. b0.1 bmax As0.08
gt s10 GeV/fm
n / n0 1
e GeV / fm3
.
.
.
T 3.8 fm/c nmax 7.77 emax 27.22 GeV / fm3
Lx,y 1.45 fm Lz0.145 fm
4.4 x 1.3 fm
17
3-dim Hydro for RHIC Energies
AuAu ECM65 GeV/nucl. b0.1 bmax As0.08
gt s10 GeV/fm
n / n0 1
e GeV / fm3
.
.
T 5.7 fm/c nmax 6.36 emax 26.31 GeV / fm3
Lx,y 1.45 fm Lz0.145 fm
18
3-dim Hydro for RHIC Energies
AuAu ECM65 GeV/nucl. b0.1 bmax As0.08
gt s10 GeV/fm
n / n0 1
e GeV / fm3
.
.
T 7.6 fm/c nmax 5.22 emax 37.16 GeV / fm3
Lx,y 1.45 fm Lz0.145 fm
19
3-dim Hydro for RHIC Energies
AuAu ECM65 GeV/nucl. b0.1 bmax As0.08
gt s10 GeV/fm
n / n0 1
e GeV / fm3
.
.
T 9.5 fm/c nmax 4.45 emax 32.86 GeV / fm3
Lx,y 1.45 fm Lz0.145 fm
20
Global Flow
Directed Transverse flow
3rd flow component (anti - flow)
X
b
Z
Squeeze out
Elliptic flow
21
Third flow component
SPS NA49
22
Third flow component / SPS / NA49
23
3rd flow component and QGP
  • Csernai Röhrich Phys.Lett.B458(99)454
    observed a 3rd flow component at SPS energies,
    not discussed before.
  • Also observed that in ALL earlier fluid dynamical
    calculations with QGP in the EoS there is 3rd
    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.

24
3rd flow component
Hydro Csernai, HIPAGS93
25
A 0.08
11.4 fm / c
26
A 0.065
11.4 fm/c
27
Freeze out
28
Hypersurface
29
Cooper-Frye formula
30
Consequences of conservation laws
(Space-like Taub 1948, Time-like Csernai
1987)
  • Non-decreasing entropy current across front!

31
Space-like hypersurface
32
Cut Juttner distribution
T(p.ds) f(x,p)
Pre FO velocity
Anderlik et al., Phys.Rev.C59(99)3309
Bugaev, Nucl.Phys.A606(96)559
33
Kinetic freeze-out models
  • Kinetic approach
  • f (x,p) out of equilibrium
  • Asymmetry

34
Freeze out model with rescattering
Anderlik et al., Phys.Rev.C59388-394,1999
35
Freeze out distribution with rescattering
V0
V. Magas, et al., Heavy Ion Phys.9193-216,1999
36
P-t distribution (T130 MeV)
V. Magas et al., Phys.Lett.B459(99)33
37
CERN
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