Hydrodynamics of nuclear collisions with initial conditions from perturbative QCD

The initial distribution of gluons at the very early times after a high energy heavy ion collision is described by the bulk scale Q s of gluon saturation in the nuclear wavefunction. The subsequent evolution of the system towards kinetic equilibrium is described by a non-linear Landau equation for the single particle distributions [1,2].In this paper, we solve this equation numerically for the idealized initial conditions proposed by Mueller, and study the evolution of the system to equilibrium. We discuss the sensitivity of our results on the dynamical screening of collinear divergences.In a particular model of dynamical screening, the convergence to the hydrodynamic limit is seen to be rapid relative to hydrodynamic time scales. The equilibration time, the initial temperature, and the chemical potential are shown to have a strong functional dependence on the initial gluon saturation scale Q s .

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“…This approximation is also employed in studies with mini-jet initial conditions [31,27]. The collision kernel in Eq.…”

Section: Kinetic Equilibrium and Hydrodynamicsmentioning

confidence: 99%

From a colored glass condensate to the gluon plasma: Equilibration in high energy heavy ion collisions

Bjoraker

Venugopalan²

2001

Phys. Rev. C

110

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“…The possible "quenching" of these mini-jets has also been studied and proposed as a signature of the formation of a quark gluon plasma [7]. Recently, initial conditions for the energy density and velocity obtained in the mini-jet approach have been used in a simple hydrodynamic model to study the late time evolution of matter in high energy nuclear collisions [8,9].…”

Section: Introductionmentioning

confidence: 99%

“…For instance, if thermalization does occur, then as proposed by Bjorken [27] hydrodynamic evolution of the system is reasonable. In that event, our approach would provide the initial temperature and velocity profiles necessary for such an evolution [8] (see also [28] and references therein).…”

Section: Introductionmentioning

confidence: 99%

Non-perturbative computation of gluon mini-jet production in nuclear collisions at very high energies

Krasnitz

Venugopalan²

1999

Nuclear Physics B

302

384

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At very high energies, in the infinite momentum frame and in light cone gauge, a hard scale proportional to the high parton density arises in QCD. In an effective theory of QCD at small x, this scale is of order α S µ, where µ is simply related to the gluon density at higher rapidities. The ab initio real time evolution of small x modes in a nuclear collision can be described consistently in the classical effective theory and various features of interest can be studied non-perturbatively. In this paper, we discuss results from a real time SU(2) lattice computation of the production of gluon jets at very high energies. At very large transverse momenta, k t ≥ µ, our results match the predictions from pQCD based mini-jet calculations.Novel non-perturbative behaviour of the small x modes is seen at smaller momenta k t ∼ α S µ.Gauge invariant energy-energy correlators are used to estimate energy distributions evolving in proper time.

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“…where Y L = η = 0 always holds, comes from dY L /dη which is larger than unity [25]. Thus, the shift at RHIC is smaller than the one at SPS since the deviation from the boost-invariant solution is small (Fig.…”

Section: Space-time Evolutionmentioning

confidence: 95%

Comparison of space-time evolutions of hot, dense matter insNN=17and 130 GeV relativistic heavy ion collisions based on a hydrodynamical model

et al. 2002

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Based on a hydrodynamical model, we compare 130 GeV/A Au+Au collisions at RHIC and 17 GeV/A Pb+Pb collisions at SPS. The model well reproduces the single-particle distributions of both RHIC and SPS. The numerical solution indicates that huge amount of collision energy in RHIC is mainly used to produce a large extent of hot fluid rather than to make a high temperature matter; longitudinal extent of the hot fluid in RHIC is much larger than that of SPS and initial energy density of the fluid is only 5% higher than the one in SPS. The solution well describes the HBT radii at SPS energy but shows some deviations from the ones at RHIC.

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Hydrodynamics of nuclear collisions with initial conditions from perturbative QCD

Cited by 52 publications

References 13 publications

From a colored glass condensate to the gluon plasma: Equilibration in high energy heavy ion collisions

From a colored glass condensate to the gluon plasma: Equilibration in high energy heavy ion collisions

Non-perturbative computation of gluon mini-jet production in nuclear collisions at very high energies

Comparison of space-time evolutions of hot, dense matter insNN=17and 130 GeV relativistic heavy ion collisions based on a hydrodynamical model

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