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

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

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

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

  2. 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 Motivation • Mach Cone Like Structures in Data Moody DNP 5 Nov 2010

  3. Moody DNP 5 Nov 2010 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 2010 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 2010 Comparison of Ideal, NS, & IS for Static Source

  6. Moody DNP 5 Nov 2010 t=0.4 fm Comparison of Ideal, NS, & IS for Static Source

  7. Moody DNP 5 Nov 2010 Comparison of Ideal, NS, & IS for Static Source

  8. Moody DNP 5 Nov 2010 Comparison of Ideal, NS, & IS for Static Source

  9. Moody DNP 5 Nov 2010 Comparison of Ideal, NS, & IS for Static Source

  10. Moody DNP 5 Nov 2010 Comparison of Ideal, NS, & IS Jets Moving Through the Fluid • in & • Jet velocity: • Source: • For more realistic source: Neufeld & Renk • Parameters: • Gaussian Width = 0.35 fm • T ~ 300 MeV • for more realistic source: Neufeld & Renk

  11. 0 1/2 1 2 t = 1. fm t = 5 fm Comparison of Ideal, NS, & ISJets Moving Through the Fluid Moody DNP 5 Nov 2010

  12. Tau = 1/4 fm Tau = 1 fm Tau = 2 fm Tau = 4 fm t = 1. fm t = 5 fm Comparison of Ideal, NS, & ISJets Moving Through the Fluid Moody DNP 5 Nov 2010

  13. Moody DNP 5 Nov 2010 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 2010 Momentum Flow

  15. Moody DNP 5 Nov 2010 Momentum Flow

  16. Moody DNP 5 Nov 2010 Future Work Inhomogeneous evolving medium More realistic jet source Freezeout 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

  17. Moody DNP 5 Nov 2010

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