On the formation of Hubble flow in Little Bangs

Abstract

A dynamical appearance of scaling solutions in the relativistic hydrodynamics applied to describe ultra-relativistic heavy-ion collisions is studied. We consider the boost-invariant cylindrically symmetric systems and the effects of the phase transition are taken into account by using a temperature dependent sound velocity inferred from the lattice simulations of QCD. We find that the transverse flow acquires the scaling form r/t within the short evolution times, 10 - 15 fm, only if the initial transverse flow originating from the pre-equilibrium collective behavior is present at the initial stage of the hydrodynamic evolution. The amount of such pre-equilibrium flow is correlated with the initial pressure gradient; larger gradients require smaller initial flow. The results of the numerical calculations support the phenomenological parameterizations used in the Blast-Wave, Buda-Lund, and Cracow models of the freeze-out process.

arXiv comment11 pages

References in corpus (23)

• Lattice Results on QCD Thermodynamics
• Observable implications of geometrical and dynamical aspects of freeze-out in heavy ion collisions
• Transverse flow and hadro-chemistry in Au+Au collisions at \sqrt{s_{NN}}=200 GeV
• Description of the RHIC p_T-spectra in a thermal model with expansion
• Rapidity Dependence of Charged Antiparticle-to-Particle Ratios in Au+Au Collisions at $\sqrt{s_{NN}}=200$ GeV
• Strange particle production at RHIC in a single-freeze-out model
• Update of the Hagedorn mass spectrum
• Velocity of sound in relativistic heavy-ion collisions
• Simple solutions of relativistic hydrodynamics for systems with ellipsoidal symmetry
• Simple solutions of relativistic hydrodynamics for longitudinally and cylindrically expanding systems
• Different Hagedorn temperatures for mesons and baryons from experimental mass spectra, compound hadrons, and combinatorial saturation
• Quasiparticle Description of the QCD Plasma, Comparison with Lattice Results at Finite T and Mu
• Emission angle dependent pion interferometry at RHIC and beyond
• Indication of quark deconfinement and evidence for a Hubble flow in 130 and 200 GeV Au+Au collisions
• Observables and initial conditions for self-similar ellipsoidal flows
• Hydrodynamic models
• Simple solutions of fireball hydrodynamics for self-similar elliptic flows
• Generating new solutions for relativistic transverse flow at the softest point
• Analytic solution for relativistic transverse flow at the softest point
• Flow in ultra-relativistic heavy ion collisions
• Simple analytic solution of fireball hydrodynamics
• Why a long-lived fireball can be compatible with HBT measurements
• J/Ψsuppression in an equilibrium hadron gas

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