Causal viscous hydrodynamics for central heavy-ion collisions

2006/10/31 by R. Baier, Rudolf Baier, Paul Romatschke +1 · 8 citations
Mathematics · Physics and Astronomy · #Computation #Context (archaeology) #Dust and Plasma Wave Phenomena #High-Energy Particle Collisions Research #Navier-Stokes equation solutions #Smoothed-particle hydrodynamics #Viscosity #Viscous liquid #Volume viscosity #hep-ph #nucl-th

paper · pdf · doi:10.1140/epjc/s10052-007-0308-5

published as Eur.Phys.J.C51:677-687,2007 · 15 pages, 10 figures, revtex4; v2: bug corrected, minor changes in results; sec IV.B. modified due to referee report

arxiv created 2007/02/16 · openalex publication_date 2007/05/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study causal viscous hydrodynamics in the context of central relativistic heavy-ion collisions and provide details of a straightforward numerical algorithm to solve the hydrodynamic equations. It is shown that correlation functions of fluctuations provide stringent test cases for any such numerical algorithm. Passing these tests, we study the effects of viscosity on the temperature profile in central heavy-ion collisions. Also, we find that it is possible to counter-act the effects of viscosity to some extent by re-adjusting the initial conditions. However, viscous corrections are strongest for high-mass particles, signaling the breakdown of hydrodynamic descriptions for large eta/s.

Citations

• Transverse flow and hadrochemistry inAu+Aucollisions atsNN=200GeV
• Effect of shear viscosity on spectra, elliptic flow, and Hanbury Brown–Twiss radii
• Thermodynamics of nonstationary and transient effects in a relativistic gas
• Particle production in field theories coupled to strong external sources, II: Generating functions
• Collective Non-Abelian Instabilities in a Melting Color Glass Condensate
• Nonstationary irreversible thermodynamics: A causal relativistic theory
• Production of gluons in the classical field model for heavy ion collisions
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Primeval Adiabatic Perturbation in an Expanding Universe
• Anomalous Transport Processes in Anisotropically Expanding Quark-Gluon Plasmas
• New forms of QCD matter discovered at RHIC
• Experimental and theoretical challenges in the search for the quark–gluon plasma: The STAR Collaboration's critical assessment of the evidence from RHIC collisions

Cited by

• Relativistic causal hydrodynamics derived from Boltzmann equation: A novel reduction theoretical approach
• Wounded-nucleon model with realistic nucleon-nucleon collision profile and observables in relativistic heavy-ion collisions
• Stability of ()-dimensional causal relativistic viscous hydrodynamics
• Simulating elliptic flow with viscous hydrodynamics
• Effect of bulk viscosity on elliptic flow near the QCD phase transition
• Hydrodynamics with a chiral hadronic equation of state including quark degrees of freedom
• Bulk viscosity and cavitation in boost-invariant hydrodynamic expansion
• Viscous evolution of the rapidity distribution of matter created in relativistic heavy-ion collisions