Strong Magnetic Fields in HIC V. Toneev
In collaboration with E. Bratkovskaya, W. Cassing, V. Konchakovski, S. Voloshin V. Voronyuk
♥ Lecture 1. Collective Properties of Heavy Ion Collisions within Non-equilibrium Dynamics ♥ Lecture 2. Evolution of the Electromagnetic Field in HIC and Chiral Magnetic Effect
August 28 - September 8, 2012, Dubna, Helmholtz International SchoolDense Matter in Heavy-Ion Collisions and Astrophysics
Lecture 1. Collective Properties of Heavy Ion Collisions within
Non-equilibrium Dynamics
♥ Parton Hadron-String Dynamics Model
♥ Flows in Heavy Ion Collisions from AGS to RHIC energy range
Parton-Hadron String Dynamics: Goul and main ingredients
The dynamical quasiparticle model (DQPM)
Entropy density in the quasiparticle limit
Bose and Fermi distribution functions
Quasiparticle propogators
Self energies
Off-shell elements in the DQPM
Thermodynamics => transport approach
Parton density (DQPM)
Boltzmann equation -> off-shell transport
see D.Voskresensky’s lectures
PHSD: hadronization
PHSD: hadronization
Hadronization details
PHSD - summarizing
Expanding fireball
Global obsrvables: rapidity spectra of π-, K+ and K- at SPS
Transverse momentum spectra at SPS
Rapidity spectra at RHIC
Transverse mass spectra at RHIC
Flow harmonics
22
22
yx
yx2
T
x1
21TTTT
pp
ppv
p
pv
...)co s(22 v)co s(2 v12 π
1
d pd y p
d N
dd pd y p
d N
Direct flow
Elliptic flow
pressure gradient => spatial asymmetry is converted to an asymmetry in momentum space => collective flow
M.Nasim et al.,, PR C82, 054908 (2010)
Energy dependence of vNeither hadronic nor partonic models can explain the energy
dependence of v2 !
Almond-like interaction zone ?
Event plane angle fluctuation
Au+Au (200 GeV); b=10 fm
Distribution of odd harmonics is practically flat in 0<Ѱn<2π/n; even harmonics are picked at zero.
There is no “tilting” effect due to EM field
V.Konchakovski et al., PR C85, 044922 (2012)
v2 is reasonably described by PHSD due to an increasing fraction of partonic degrees of freedom !
V.Konchakovski et al., PR C85, 044922 (2012)
V.Konchakovski et al., PR C85, 044922 (2012)
Time evolution of vn (early time formation)
V.Konchakovski et al., PR C85, 044922 (2012)
V.Konchakovski et al., PR C85, 044922 (2012)
“universal” scaling approximately works in PHSD but fails in
hydrodynamics
Scaling in pseudo-rapidity
V.Konchakovski et al., PR C85, 044922 (2012)
Longitudinal scaling approximately works in PHSD
V.Konchakovski et al., PR C85, 044922 (2012)
V.Konchakovski et al., PR C85, 044922 (2012)
V.Konchakovski et al., PR C85, 044922 (2012)
Not compatible with ideal hydrodynamics and very sensitive to the microscopic dynamics
A. Peshier, W. Cassing, PRL 94, 172301 (2005)