Johann Wolfgang Goethe-Universität Frankfurt

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Presentation transcript:

Johann Wolfgang Goethe-Universität Frankfurt Institut für Theoretische Physik Parton Thermalization and Energy Loss in ultrarelativistic Heavy-Ion Collisions within a Parton Cascade Zhe Xu in collaboration with A. El, O.Fochler and C.Greiner QM2006, Shang Hai

on-shell parton cascade Motivation fast thermalization on-shell parton cascade Z. Xu and C. Greiner, PRC 71, 064901 (2005) with only pQCD gg<->gg : no thermalization except with large s (AMPT,MPC) including pQCD gg<->ggg: thermalization, hydro. behaviour and Jet-Quenching

What is the correct quantity describing kinetic equilibration? NOT the mean free path or collision rate ns maybe nst with the transport cross section gg -> gg gg -> ggg B.Müller‘s question in Quark Matter 2005 One has to do detailed studies.

momentum isotropization and kinetic equilibration Initial condition: Minijets p0=1.4 GeV

q(t) gives the timescale of kinetic equilibration.

Transport Rates Definition: Boltzmann equation

The drift term is large.

special case for isotropic distribution of collision angle

Bremsstrahlung processes J.F.Gunion, G.F.Bertsch, Phys. Rev. D 25, 746(1982) LPM suppression: the formation time Bethe-Heitler regime

Initial condition with Color Glass Condensate h: [-0.05:0.05] and xt < 1.5 fm

Evolution of Particle Number in bottom-up scenario Andrej El Particle number decreases rapidly in the very first moment No net soft gluon production at early times!

Jet-Quenching in a central Au Au collision at RHIC Oliver Fochler 3~4 too much

elliptic flow in noncentral Au+Au collisions at RHIC: peripheral central

Summary PQCD Bremsstrahlung gg↔ggg are essential for the thermalization. The transport rates are quantities determining the contribution of different processes to kinetic equilibration. no bottom –up large v2, but small RAA

Minijets p0=1.4 GeV

q(t)

Question: Why are gg<->ggg interactions Simulation 1 Simulation 2 thermalization and hydrodynamical behavior NO thermalization and free streaming Question: Why are gg<->ggg interactions essential for thermalization?

collision probability: Stochastic algorithm P.Danielewicz, G.F.Bertsch, Nucl. Phys. A 533, 712(1991) A.Lang et al., J. Comp. Phys. 106, 391(1993) cell configuration in space for particles in D3x with momentum p1,p2,p3 ... D3x collision probability:

Initial conditions: minijets production with pt > p0 binary approximation  for a central Au+Au collision at RHIC at 200 AGeV using p0=2 GeV

Initial conditions with smaller p0

Kinetic and chemical equilibration in the central region: h: [-0.5:0.5] and xt < 1.5 fm 1~2 fm/c for the kinetic equilibration ~ 4 fm/c for the chemical equilibration

Kinetic and chemical equilibration

transverse energy at y=0 in Au+Au central collision

Kinetic and chemical equilibration