Dynamics of a microcosm: parton transport and the Quark-Gluon Plasma

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Presentation transcript:

Dynamics of a microcosm: parton transport and the Quark-Gluon Plasma Bin Zhang Arkansas State University International Workshop on Nuclear Dynamics and Thermodynamics College Station, Texas, USA, August 19 – 22, 2013 Introduction Pressure anisotropy and kinetic equilibration Transverse energy fluctuations Summary and discussions Work supported by the U.S. National Science Foundation under Grant No. PHY-0970104

Relativistic heavy ion collisions z y O Highly Lorentz contracted nuclei Hot and dense nuclear matter z t A, Eb , b prodution thermalization Quark-Gluon Plasma phase transition hadron gas freeze-out x y O b s Centrality described by b, Npart , Ncoll

Longitudinal to transverse pressure ratio Lines (points): exponential (condensate) initial conditions competition between expansion and equilibration common asymptotic evolution more isotropization with inelastic processes not sensitive to initial momentum distribution with inelastic processes Plopt1b3a.eps (kamer4)

Exact matrix element for gg↔ggg Propagators regulated by μ2 When αs=0.47, μ2=10 fm-2, s=4 GeV2, σ22=0.312 fm2, and σ23=0.0523 fm2. σ23/σ22 ~ 0.168 < 0.5 When αs=0.4, T=0.524 GeV, (preliminary) <σ23>23/<σ22>22~57%, <σ23>/<σ22>~17%, w23/w22~12%.

Transverse energy production A.K. Chaudhuri, Phys. Rev. C 47, 2875 (1993)

Work distribution and ET distribution Non-relativistic work magnitude distribution is a gamma distribution. Jarzynski equality and the second law. Crooks theorem. extreme relativistic work magnitude distribution is also a gamma distribution. ordering of averages

Work distribution and ET distribution non-relativistic shape 3N/2, extreme relativistic shape 3N scale parameter |ΔT| transverse energy distribution is also a gamma distribution. transverse energy shape ({3N/2, 3N}) depends on mass transverse energy scale parameter {2/3, π/4}T1 is sensitive to freeze-out and mass.

Summary and discussions Elastic collisions may be more important in thermalization than expected. Exact and Gunion-Bertsch can have big differences. Specific shear viscosity may be larger than the quantum limit. {Work magnitude, transverse energy} distribution is a gamma distribution for non-relativistic and extreme relativistic gases. The transverse energy shape is sensitive to mass and scale is determined by the freeze-out. Numerical studies necessary to sort out changing particle contents, transverse expansion, differential freeze-out, etc.