Duke University Chiho NONAKA in Collaboration with Masayuki Asakawa (Kyoto University) Hydrodynamical Evolution Hydrodynamical Evolution near the QCD Critical End Point near the QCD Critical End Point ovember, 2003@Collective Flow and QGP properties, B
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Hydrodynamical Evolution near the QCD Critical End Point
Hydrodynamical Evolution near the QCD Critical End Point. Duke University Chiho NONAKA. in Collaboration with. Masayuki Asakawa ( Kyoto University ). November, 2003@Collective Flow and QGP properties, BNL. RHIC. T. Critical end point. CFL. 2SC. m. GSI. Critical End Point in QCD ?. - PowerPoint PPT Presentation
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Duke University
Chiho NONAKA
in Collaboration with
Masayuki Asakawa (Kyoto University)
Hydrodynamical Evolution Hydrodynamical Evolution near the QCD Critical End Pointnear the QCD Critical End Point
Hydrodynamical Evolution Hydrodynamical Evolution near the QCD Critical End Pointnear the QCD Critical End Point
November, 2003@Collective Flow and QGP properties, BNL
11/19/2003 C.NONAKA2
Critical End Point in QCD ?Critical End Point in QCD ? Critical End Point in QCD ?Critical End Point in QCD ?
NJL model (Nf = 2)
Lattice QCD
K. Yazaki and M.Asakawa., NPA 1989
Suggestions
2SC CFL
T
RHIC
GSI
Critical end point
• Imaginary chemical potential Forcrand and Philipsen hep-lat/0307020
• Reweighting Z. Fodor and S. D. Katz (JHEP 0203 (2002) 014)
depends on n /s.• Max.• Trajectories pass through the region where is large. (focusing)
eq
eq
B
rh
11/19/2003 C.NONAKA13
Correlation Length (II)Correlation Length (II)Correlation Length (II)Correlation Length (II)
,00
zma
m
time evolution (1-d)
)(
1)()()(
eq
mmmd
d
1m
Model C (Halperin RMP49(77)435)17.2z
• is larger than at Tf. • Differences among s on n /s are small.• In 3-d, the difference between and becomes large due to transverse expansion.
eq
eq
B
11/19/2003 C.NONAKA14
Consequences in Experiment (I)Consequences in Experiment (I)Consequences in Experiment (I)Consequences in Experiment (I)CERES:Nucl.Phys.A727(2003)97 Fluctuations
CERES 40,80,158 AGeV Pb+Au collisions
No unusually large fluctuation
CEP exists in near RHIC energy region ?
T
dyn
dynPT P
2
2, )sgn(
PT
n
jj
n
jx
jxj
x
N
MMN
M
1
1
2
2
N
PM T
PTdybPT
222
,
Mean PT Fluctuation
11/19/2003 C.NONAKA15
Consequences in Experiment (II)Consequences in Experiment (II)Consequences in Experiment (II)Consequences in Experiment (II)
Xu and Kaneta, nucl-ex/0104021(QM2001)
Kinetic Freeze-out Temperature
J. Cleymans and K. Redlich, PRC, 1999
?
Low T comes from large flow.
f
?
Entropy density
EOS with CEP
EOS with CEP gives the natural explanation to the behavior of T .f
11/19/2003 C.NONAKA16
CEP and Its ConsequencesCEP and Its ConsequencesCEP and Its ConsequencesCEP and Its Consequences