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Journal Club 5/12/2006

Journal Club 5/12/2006. Review on Relativistic Ideal & Viscous Hydrodynamics based on “Dissipative hydrodynamics for viscous relativistic fluids”, U.Heinz, H.Song, and A.K.Chaudhuri, Phys.Rev.C 73 ,034904(2006). ArXiv:nucl-th/0510014. INTRODUCTION IDEAL FLUID DYNAMICS

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Journal Club 5/12/2006

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  1. Journal Club 5/12/2006 Review on Relativistic Ideal & Viscous Hydrodynamics based on “Dissipative hydrodynamics for viscous relativistic fluids”, U.Heinz, H.Song, and A.K.Chaudhuri, Phys.Rev.C73,034904(2006). ArXiv:nucl-th/0510014. • INTRODUCTION • IDEAL FLUID DYNAMICS • NON-IDEAL FLUID DECOMPOSITION • KINETIC EQUATIONS FOR THE DISSIPATIVE FLOWS • Standard dissipative fluid dynamics • Second order Israel-Stewart theory • TRANSVERSE EXPANSION DYNAMICS IN SYSTEMSWITH LONGITUDINAL BOOST INVARIANCE • SUMMARY

  2. Flow @ RHIC Elliptic flow data   Ideal hydro • Discrepancy • Peripheral • Forward/backward rapidity • High pT • Effects of dissipation • Constraint on transport coefficients • as well as EOS • Relativistic viscous hydrodynamics • Eckart(1940), Landau-Lifshitz(1963)… • Acausal propagation of signals! Müller(1967), Israel-Stewart(1979), Hiscock-Lindblom(1985)…

  3. Importance of relaxation time • Non-relativistic case (Based on discussion by Cattaneo (1948)) Balance eq.: Constitutive eq.: t0: Fourier’s law t : “relaxation time” Parabolic equation (heat equation) ACAUSAL!! Finite t Hyperbolic equation (telegraph equation)

  4. References Beyond relativistic Navier-Stokes eq.: • W.Israel, Ann.Phys. 100 (1976) 310; W.Israel and J.M.Stewart, Phys.Lett. 58A (1976) 213; W.Israel and J.M.Stewart, Ann.Phys.118, (1979) 341. • I. Muller, Liv.Rev.Rel. 1999-1. Applications to Heavy-Ion Collision: • A. Muronga, Phys.Rev.Lett. 88 (2002) 062302 [Erratum-ibid. 89(2002) 159901]; Phys.Rev.C 69(2004) 034903; A.Muronga and D.H.Rischke, arXiv:nucl-th/0407114. • A.K.Chaudhuri and U.W.Heinz, arXiv:nucl-th/0504022; U.W.Heinz, H.Song and A.K.Chaudhuri, arXiv:nucl-th/0510014. • R.Baier, P.Romatschke, U.A.Wiedemann, hep-ph/0602249; nucl-th/0604006. Excellent Lecture: • D.H.Rischke, arXiv:nucl-th/9809044. (heavy ion collisions) • R.Maartens, arXiv:astro-ph/9609119. (cosmology and astrophysics)

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