Strong Magnetic Fields in HIC

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)