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

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Presentation on theme: "Causal Viscous Hydrodynamic Response to High-Momentum Jets DNP Fall 2010 Cristina I. Moody Denes Molnar."— Presentation transcript:

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

2 Moody DNP 5 Nov 20102 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

3 Moody DNP 5 Nov 20103 Hydrodynamics Ideal Hydrodynamic Model - No Viscosity Navier-Stokes Hydrodynamic Model – with Viscosity (but acausal) Israel-Stewart Hydrodynamic Model – Viscosity and Relation Time

4 Moody DNP 5 Nov 20104 Response to a Gaussian Source Very Simple Jet Model Temperature ~ 300 MeV Spherically Symmetric Ideal Spherically Symmetric (Linearized) Navier-Stokes (small k) For QGP:

5 Moody DNP 5 Nov 20105 Comparison of Ideal, NS, & IS for Static Source

6 Moody DNP 5 Nov 20106 Comparison of Ideal, NS, & IS for Static Source t=0.4 fm

7 Moody DNP 5 Nov 20107 Comparison of Ideal, NS, & IS for Static Source

8 Moody DNP 5 Nov 20108 Comparison of Ideal, NS, & IS for Static Source

9 Moody DNP 5 Nov 20109 Comparison of Ideal, NS, & IS for Static Source

10 Moody DNP 5 Nov 201010 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

11 Moody DNP 5 Nov 201011 Comparison of Ideal, NS, & IS Jets Moving Through the Fluid t = 1. fm t = 5 fm 0 1/2 1 2

12 Moody DNP 5 Nov 201012 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

13 Moody DNP 5 Nov 201013 Momentum Flow Isochronous “bulk flow” freezeout -> azimuthal momentum distribution Assumptions: All particles are emitted locally in direction of momentum density

14 Moody DNP 5 Nov 201014 Momentum Flow

15 Moody DNP 5 Nov 201015 Momentum Flow

16 Moody DNP 5 Nov 201016 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

17 Moody DNP 5 Nov 201017

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