Hydrodynamic flow and jet induced Mach shocks at RHIC and LHC

Stöcker, H.; Betz, Barbara; Rau, Philip

doi:10.22323/1.029.0029

Cited by 6 publications

(9 citation statements)

References 55 publications

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“…This broad structure is called the "away-side jet" and recoils against the "near-side jet" (or "trigger jet"). In the framework of hydrodynamics, this observation could be explained by the conical shock waves generated by large energy deposition in the hydrodynamical medium [3,4,5,6,7,8,9,10,11,12,13,14]. Although quite elegant, this understanding of the away-side jet in terms of conical shock waves still needs confirmation.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear waves in a quark gluon plasma

2010

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Recent measurements at RHIC suggest that a nearly perfect fluid of quarks and gluons is produced in A A collisions. Moreover the passage of supersonic partons through this medium seems to produce waves. These waves might pile up and form Mach cones, which would manifest themselves in the so called away-side jets, forming a broad structure in the angular distribution of the particles recoiling against a trigger jet of moderate energy. In most of the theoretical descriptions of these phenomena, the hydrodynamic equations are linearized for simplicity. We propose an alternative explanation for the observed broadening of the away-side peak. It is based on hydrodynamics but it is a consequence of the non-linearities of the equations, which instead of simple waves may lead to localized waves or even solitons.We investigate in detail the consequences of including the non-linear terms. We use a simple equation of state for the QGP and expand the hydrodynamic equations around equilibrium configurations. The resulting differential equations describe the propagation of perturbations in the energy density. We solve them numerically and find that localized perturbations can propagate for long distances in the plasma. Under certain conditions our solutions mimick the propagation of Korteweg -de Vries solitons.

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Section: Introductionmentioning

confidence: 99%

Nonlinear waves in a quark gluon plasma

2010

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“…The described shock wave creation is comparable to the scenario of a fast parton jet which distributes energy and momentum to the medium [7][8][9][10][11][12][13][14][15][16][17][18][19]. Particles emitted directly from the head shock have large momenta in forward direction and therefore are emitted at small θ lab angles, while particles emitted from outer regions of the (Mach) shock wave have low momenta and are predominantly emitted in sideward directions.…”

Section: Hydrodynamicsmentioning

confidence: 83%

“…In recent years, the investigation of (Mach) shock waves has regained tremendous attention, both on the theoretical [7][8][9][10][11][12][13][14][15][16][17][18][19] as well as on the experimental side [20][21][22][23][24][25][26][27][28], considering shock waves from partonic projectiles.…”

Section: Introductionmentioning

confidence: 99%

Conical Emission from Shock Waves in Ne(1-20 AGeV)+U Collisions

Rau,

Steinheimer,

Betz

et al. 2010

Preprint

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The formation and propagation of high-density compression waves, e.g. Mach shock waves, in cold nuclear matter is studied by simulating high-energy nucleus-nucleus collisions of Ne with U in the energy range from E lab = 0.5 AGeV to 20 AGeV. In an ideal hydrodynamic approach, the high-density shock wave created by the small Ne nucleus passing through the heavy U nucleus is followed by a slower and more dilute Mach shock wave which causes conical emission of particles at the Mach cone angle. The conical emission originates from low-density regions with a small flow velocity comparable to the speed of sound. Moreover, it is shown that the angular distributions of emitted baryons clearly distinguish between a hydrodynamic approach and binary cascade processes used in the Ultra-relativistic Quantum Molecular Dynamics (UrQMD) transport model.

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“…[35] that in the energy range of interest here, this rather simple approach reproduces quite well the specific entropy production from a three-fluid model. For the subsequent hydrodynamic evolution of the system, we apply a fully (3+1)-dimensional one-fluid ideal This hydrodynamic model has been tested vigorously and applied successfully for various initial conditions and physics investigations [74][75][76][77][78][79][80][81]. Figure 2 depicts the excitation function of the total entropy S per baryon number A for the initial stage of the hydrodynamic evolution for both initial conditions (UrQMD, solid circles; overlap model, dashed line).…”

Section: Initial Conditionsmentioning

confidence: 99%

“…The EoS with a CEP is provided in tabulated form with a fixed step size in energy and baryon density: ∆ǫ = 0.1 and ∆n = 0.05 where ǫ and n are given in units of nuclear ground state densities (ǫ 0 ≈ 138.5 MeV and n 0 ≈ 0.15fm −3 ). This hydrodynamical model has been tested vigorously and applied successfully for various initial conditions and physics investigations [73,74,75,76,77,78,79,80].…”

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confidence: 99%

(3+1)-dimensional hydrodynamic expansion with a critical point from realistic initial conditions

et al. 2008

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We investigate a (3+1)-dimensional hydrodynamic expansion of the hot and dense system created in head-on collisions of Pb+Pb/Au+Au at beam energies from 5 to 200 GeV/nucleon. An equation of state is used that incorporates a critical end point (CEP) in line with the lattice data. The necessary initial conditions for the hydrodynamic evolution are taken from a microscopic transport approach, the ultrarelativistic quantum molecular dynamics (UrQMD) model. We compare the properties of the initial state and the full hydrodynamic calculation with an isentropic expansion employing an initial state from a simple overlap model. We find that the specific entropies (S/A) from both initial conditions are very similar and only depend on the underlying equation of state. Using the chiral (hadronic) equation of state, we investigate the expansion paths for both initial conditions. Defining a critical area around the critical point, we show at what beam energies one can expect to have a sizable fraction of the system close to the critical point. Finally, we emphasize the importance of the equation of state of strongly interacting matter in the (experimental) search for the CEP.

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Hydrodynamic flow and jet induced Mach shocks at RHIC and LHC

Cited by 6 publications

References 55 publications

Nonlinear waves in a quark gluon plasma

Nonlinear waves in a quark gluon plasma

Conical Emission from Shock Waves in Ne(1-20 AGeV)+U Collisions

(3+1)-dimensional hydrodynamic expansion with a critical point from realistic initial conditions

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