SHOCK WAVE COLLISIONS INAdS5: APPROXIMATE NUMERICAL SOLUTIONS

Bin Wu and Paul Romatschke
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Bin Wu: Frankfurt Institute for Advanced Studies, D-60438 Frankfurt, Germany;
Paul Romatschke: Frankfurt Institute for Advanced Studies, D-60438 Frankfurt, Germany;

International Journal of Modern Physics C (IJMPC), 2011, vol. 22, issue 12, 1317-1342

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.

Keywords: Collision; gravitational; shock wave; numerical solution (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1142/S0129183111016920

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