Sound Waves from Quenched Jets

Khachatryan, Vladimir; Shuryak, Edward

doi:10.48550/arxiv.1108.3098

Cited by 3 publications

(3 citation statements)

References 22 publications

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“…(We will use it for this purpose elsewhere [19].) It is however not so useful for predicting the corresponding amplitudes of the wave, which we will discuss in the next subsection.…”

Section: Sound Propagation In the Short-wavelength Approximation A Th...mentioning

confidence: 99%

Fate of the initial state perturbations in heavy ion collisions. III. The second act of hydrodynamics

Staig

Shuryak

2011

Phys. Rev. C

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The hydrodynamical description of the "Little Bang" in heavy ion collisions is surprisingly successful, mostly due to the very small viscosity of the Quark-Gluon plasma. In this paper we systematically study the propagation of small perturbations, also treated hydrodynamically. We start with a number of known techniques allowing for the analytic calculation of the propagation of small perturbations on top of the expanding fireball. The simplest approximation is the "geometric acoustics", which substitutes the wave equation by mechanical equations for the propagating "phonons". Next we turn to the case in which variables can be separated, where one can obtain not only the eikonal phases but also the amplitudes of the perturbation. Finally, we focus on the so called Gubser flow, a particular conformal analytic solution for the fireball expansion, on top of which one can derive closed equations for small perturbations. Perfect hydrodynamics allows all variables to be separated and all equations to be solved in terms of known special functions. We can thus collect the analytical expression for all the harmonics and reconstruct the complete Green function of the problem. In the viscous case the equations still allow for variable separation, but one of the equations has to be solved numerically. Summing all the harmonics we show real-time perturbation evolution, observing the viscosity-induced changes in the spectra and the correlation functions. The calculated angular shape of the correlation function is remarkably similar to the shape emerging from the experimental data, for sufficiently large viscosity. We predict a minimum at m ∼ 7 and maximum at m ∼ 9 harmonics, which also have some experimental evidence for it. We conclude that local "hot spots" in the initial state are the only visible origin of the observed correlations.

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“…(We will use it for this purpose elsewhere [19].) It is however not so useful for predicting the corresponding amplitudes of the wave, which we will discuss in the next subsection.…”

Section: Sound Propagation In the Short-wavelength Approximation A Th...mentioning

confidence: 99%

Fate of the initial state perturbations in heavy ion collisions. III. The second act of hydrodynamics

Staig

Shuryak

2011

Phys. Rev. C

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“…Effects of the fireball explosion on the Mach cone has been discussed by Satarov, Stoecker and Mishustin, [6], as well as by Betz,Rau and Stoecker [10], see also their subsequent works. Khachatryan and Shuryak [11] studied the problem using the "geometric acoustics" approximation.…”

Section: Introductionmentioning

confidence: 99%

Sound edge of the quenching jets

Shuryak

Staig

2013

Phys. Rev. C

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When quenching jets deposit certain amount of energy and momentum into ambient matter, part of it propagates in the form of shocks/sounds. The "sound surface", separating disturbed and undisturbed parts of the fireball, makes what we call the sound edge of jets. In this work we semianalytically study its shape, in various geometries. We further argue that since hadrons with in the kinematical range of p ⊥ ∼ 2 GeV originate mostly from the "rim" of the fireball, near the maximum of the radial flow at the freezeout surface, only the intersection of the "sound surface" with this "rim" would be observable. The resulting "jet edge" has a form of extra matter at the elliptic curve, in ∆φ, ∆η coordinates, with radius |∆φ| ∼ |∆η| ∼ 1. In the case of large energy/momentum deposition ∼ 100 GeV we argue that the event should be considered as two sub-events, with interior of the "sound surface" having modified radial and directed flow. We further argue that in the kinematical range of p ⊥ ∼ 3 GeV the effect of that can be large enough to be seen on event-by-event basis. If so, this effect has a potential to become a valuable tool to address geometry of jet production and quenching.

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“…[46] -and, albeit more indirectly, by the fact that flow structures such as cones and ridges are able to survive until freeze out. If dissipative effects were too large, such collective flow structures would be washed away much earlier in the evolution of the fireball [47][48][49][50].…”

Section: Introductionmentioning

confidence: 99%

Shear viscosity from thermal fluctuations in relativistic conformal fluid dynamics

Peralta-Ramos

Calzetta

2012

J. High Energ. Phys.

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Within the framework of relativistic fluctuating hydrodynamics we compute the contribution of thermal fluctuations to the effective infrared shear viscosity of a conformal fluid, focusing on quadratic (in fluctuations), second order (in velocity gradients) terms in the conservation equations.Our approach is based on the separation of hydrodynamic fields in soft and ultrasoft sectors, in which the effective shear viscosity arises due to the action of the soft modes on the evolution of the ultrasoft ones. We find that for a strongly coupled fluid with small shear viscosity-toentropy ratio η/s the contribution of thermal fluctuations to the effective shear viscosity is small but significant. Using realistic estimates for the strongly coupled quark-gluon plasma created in heavy ion collisions, we find that for η/s close to the AdS/CFT lower bound 1/(4π) the correction is positive and at most amounts to 10% in the temperature range 200-300 MeV, whereas for larger values η/s ∼ 2/(4π) the correction is negligible. For weakly coupled theories the correction is very small even for η/s = 0.08 and can be neglected.

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Sound Waves from Quenched Jets

Cited by 3 publications

References 22 publications

Fate of the initial state perturbations in heavy ion collisions. III. The second act of hydrodynamics

Fate of the initial state perturbations in heavy ion collisions. III. The second act of hydrodynamics

Sound edge of the quenching jets

Shear viscosity from thermal fluctuations in relativistic conformal fluid dynamics

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