Sound Propagation on Top of the Fireball

Details Sound Propagation on Top of the Fireball Sound Propagation on Top of the Fireball

2011-09-29

arxiv.org/abs/1109.6633v2

Physics

Nuclear Physics

Nuclear Theory

Prepared for the Proceedings of the DPF-2011 Conference, Providence, RI, August 8-13, 2011

Scientific paper

We study the effect that initial state fluctuations have on final particle correlations in heavy ion collisions. More precisely, we focus on the propagation of initial perturbations on top of the expanding fireball using the conformal solution derived by Gubser and Yarom for central collisions. For small perturbations, the hydrodynamic equations are solved by separation of variables and the solutions for different modes are added up to construct initial point-like perturbations, that are then allowed to evolve until freeze-out. The Cooper-Frye prescription is used to determine the final particle distribution. We present the two-particle correlation functions and their Fourier spectra obtained for different viscosities and different initial widths of the perturbation. We find that viscosity kills the higher harmonics, but that the Fourier spectra presents maxima and minima, similar to what is seen in the study of cosmic microwave background radiation.

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