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SHOCK WAVE COLLISIONS INAdS5: APPROXIMATE NUMERICAL SOLUTIONS

Author

Listed:
  • BIN WU

    (Frankfurt Institute for Advanced Studies, D-60438 Frankfurt, Germany;
    Faculty of Physics, University of Bielefeld, D-33501 Bielefeld, Germany;
    School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China)

  • PAUL ROMATSCHKE

    (Frankfurt Institute for Advanced Studies, D-60438 Frankfurt, Germany;
    Department of Physics, 390 UCB, University of Colorado, Boulder CO 80309, USA)

Abstract

We numerically study the evolution of a boost-invariant$\mathcal{N} = 4$SYM medium usingAdS/CFT. We consider a toy model for the collision of gravitational shock waves, finding that the energy density first increases, reaches a maximum and then starts to decrease, matching hydrodynamics for late times. For the initial conditions we consider, the hydrodynamic scale governing the late time behavior is to very good approximation determined by the area of the black hole horizon at initial times. Our results provide a toy model for the early time evolution of the bulk system in heavy-ion collisions at RHIC and the LHC.

Suggested Citation

  • Bin Wu & Paul Romatschke, 2011. "SHOCK WAVE COLLISIONS INAdS5: APPROXIMATE NUMERICAL SOLUTIONS," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 22(12), pages 1317-1342.
    • Handle: RePEc:wsi:ijmpcx:v:22:y:2011:i:12:n:s0129183111016920
    DOI: 10.1142/S0129183111016920
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