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Isospin Dynamics in Heavy Ion Collisions EOS-sens
itive observables
Fermi Energies

• Pre-equilibrium dipole

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Instability of binary systems
Instability of binary systems
F e - Ts Free energy density
Instability Condition
F e - Ts Free energy density
Instability Condition
dF
dF
Mechanical Chemical
Mechanical Chemical
Xlt0 isoscalar-like Ylt0 isovector-like
Chemical effect
Xlt0 isoscalar-like Ylt0 isovector-like
Chemical effect
X u2Y v2 lt 0
X u2Y v2 lt 0
u cosb drpsenb drn v cosb drp-senb drn
u cosb drpsenb drn v cosb drp-senb drn
V. Baran et al., PRL86 (2001) 4492
V. Baran et al., PRL86 (2001) 4492
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Isospin Distillation Mechanism direction of
the spinodal unstable mode
y proton fraction Z/A

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124Sn124Sn
50AMeV, central
STOCHASTIC MEAN-FIELD
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124Sn 124Sn 50 AMeV average asymmetry
time evolution
freeze-out
IMF
gas
Central b0.15 bmax
I(t)
liquid
Asy-soft
Semi-central b0.5 bmax
I(t)
V. Baran et al., NPA(2002)
600 SMF events
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time evolution
freeze-out
IMF
gas
Central b0.15 bmax
I(t)
liquid
Asy-stiff
Semi-central b0.5 bmax
I(t)
V. Baran et al., NPA(2002)
600 SMF events
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Dynamical Isoscaling
primary
50 AMeV (central coll.)
final
A
not very sensitive to Esym ?
a 4 (Zº/ Aº)²1 - (Zº/ Aº)²2 /s²
124Sn Carbon isotopes (primary)
T.X.Liu et al. PRC 2004