Near Zone Hydrodynamics of AdS/CFT Jet Wakes

Physics – High Energy Physics – High Energy Physics - Phenomenology

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4 pages, 5 figures, Presented at Quark Matter 2008: 20th International Conference on Ultra-Relativistic Nucleus Nucleus Collis

Scientific paper

10.1088/0954-3899/35/10/104061

The energy-momentum tensor of a supersonic heavy quark jet moving through a strongly-coupled $\mathcal{N}=4$ SYM plasma is analyzed in terms of first-order Navier-Stokes hydrodynamics. We focus on the near zone ``head'' region close to the heavy quark where deviations from hydrodynamic behavior are expected to be large. For realistic quark velocities, $v=0.99$, we find that the non-hydrodynamical head region is confined at a narrow pancake surrounding the jet with a width $\sim 1/T$ and transverse radius $\sim 3/T$. Outside this jet head region, the jet induced stress is well approximated by Navier-Stokes hydrodynamics.

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