Shock waves in strongly coupled plasmas II

Abstract

In a recent paper we have analyzed the AdS/CFT duals to shock waves propagating in the N=4 plasma. Here we study further properties of the system. In the gravity description we consider the properties of the dual black holes, showing in particular that they are stationary black holes with expanding horizons. This is possible because the horizon is not compact; in the fluid, this corresponds to the situation when entropy is being produced and carried away to infinity. We also consider shocks in dimensionalities d other than four and find that, for plasmas whose duals are given by asymptotically AdS spaces, the exponential tail of the shock on the supersonic side shrinks as gamma^(-2/d) as the velocity approaches the speed of light (the Lorentz factor gamma goes to infinity). This generalizes the behavior gamma^(-1/2) we have found previously for d=4. Finally, we consider corrugations of the shock front and show that the shock is stable under such perturbations. There are, however, long lived modes, excitations of which describe generation of sound by the shock wave, the energy for this being provided by the incoming fluid.

42 pages, 7 figures

References in corpus (19)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Nonlinear Fluid Dynamics from Gravity
• Viscosity, Black Holes, and Quantum Field Theory
• Dihadron azimuthal correlations in Au+Au collisions at sqrt(s_NN)=200 GeV
• Local Fluid Dynamical Entropy from Gravity
• Entropy production in collisions of gravitational shock waves and of heavy ions
• Entropy Current in Conformal Hydrodynamics
• Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions
• A holographic view on physics out of equilibrium
• The wake of a quark moving through a strongly-coupled $\mathcal{N}=4$ supersymmetric Yang-Mills plasma
• The stress-energy tensor of a quark moving through a strongly-coupled N=4 supersymmetric Yang-Mills plasma: comparing hydrodynamics and AdS/CFT
• Sonic booms and diffusion wakes generated by a heavy quark in thermal AdS/CFT
• The stress tensor of a quark moving through N=4 thermal plasma
• Dissipative superfluid dynamics from gravity
• Energy disturbances due to a moving quark from gauge-string duality
• Extraction of jet topology using three particle correlations
• On the apparent horizon in fluid-gravity duality
• Shock waves in strongly coupled plasmas
• Relativistic Shock Waves and Mach Cones in Viscous Gluon Matter

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• Far-from-equilibrium energy flow and entanglement entropy
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