Causal Viscous Hydrodynamic Response to High-Momentum Jets DNP Fall 2010 Cristina I. Moody Denes Molnar.

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Presentation transcript:

Causal Viscous Hydrodynamic Response to High-Momentum Jets DNP Fall 2010 Cristina I. Moody Denes Molnar

Moody DNP 5 Nov Motivation From Hydro Expect Triangular Flow? Viscous Effects? Sheer Stress Relaxation Time Casalderrey-olana et al. Phys. Conf. Ser. 27, 22 (2005)v F. Wang Strangeness Quark Matter 2009 Mach Cone Like Structures in Data

Moody DNP 5 Nov Hydrodynamics Ideal Hydrodynamic Model - No Viscosity Navier-Stokes Hydrodynamic Model – with Viscosity (but acausal) Israel-Stewart Hydrodynamic Model – Viscosity and Relation Time

Moody DNP 5 Nov Response to a Gaussian Source Very Simple Jet Model Temperature ~ 300 MeV Spherically Symmetric Ideal Spherically Symmetric (Linearized) Navier-Stokes (small k) For QGP:

Moody DNP 5 Nov Comparison of Ideal, NS, & IS for Static Source

Moody DNP 5 Nov Comparison of Ideal, NS, & IS for Static Source t=0.4 fm

Moody DNP 5 Nov Comparison of Ideal, NS, & IS for Static Source

Moody DNP 5 Nov Comparison of Ideal, NS, & IS for Static Source

Moody DNP 5 Nov Comparison of Ideal, NS, & IS for Static Source

Moody DNP 5 Nov in& Jet velocity: Source: For more realistic source: Neufeld & Renk Parameters: – Gaussian Width = 0.35 fm – T ~ 300 MeV Comparison of Ideal, NS, & IS Jets Moving Through the Fluid for more realistic source: Neufeld & Renk

Moody DNP 5 Nov Comparison of Ideal, NS, & IS Jets Moving Through the Fluid t = 1. fm t = 5 fm 0 1/2 1 2

Moody DNP 5 Nov Comparison of Ideal, NS, & IS Jets Moving Through the Fluid Tau = 4 fm t = 1. fm t = 5 fm Tau = 1 fmTau = 1/4 fmTau = 2 fm

Moody DNP 5 Nov Momentum Flow Isochronous “bulk flow” freezeout -> azimuthal momentum distribution Assumptions: All particles are emitted locally in direction of momentum density

Moody DNP 5 Nov Momentum Flow

Moody DNP 5 Nov Momentum Flow

Moody DNP 5 Nov Summary & Future Work Summary Studied jet propagation in a static viscous medium using a simple Gaussian model Relaxation time effects in Israel-Stewart hydro: Large effect at small times Modest effect at later times Waves for larger relaxation times appear more ideal Future Work Inhomogeneous evolving medium More realistic jet source Freezeout

Moody DNP 5 Nov