2008/06/09 by Dénes Molnár, Denes Molnar, Pasi Huovinen · 2 citations
Physics and Astronomy · #Classical mechanics #Collision #Conformal map #Cosmology and Gravitation Theories #Covariant transformation #Dissipative system #Elliptic flow #Geology #Geometry #Heavy ion #High-Energy Particle Collisions Research #Invariant (physics) #Mathematical physics #Mechanics #Nuclear physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Quark–gluon plasma #Scattering cross-section #Shear (geology) #Shear viscosity #Thermodynamics #Viscosity #Volume viscosity #nucl-th
paper · pdf · doi:10.1088/0954-3899/35/10/104125
published as J.Phys.G35:104125,2008 · Presentation at Quark Matter 2008. 4 pages, 3 figures
arxiv created 2008/06/09 · openalex publication_date 2008/09/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We compare 2 → 2 covariant transport theory and causal Israel–Stewart hydrodynamics in a (2 + 1)-dimensional longitudinally boost-invariant geometry with RHIC-like initial conditions and a conformal ε = 3 p equation of state. The pressure evolution in the center of the collision zone and the final differential elliptic flow v 2 ( p T ) from the two theories agree remarkably well for a small shear viscosity to entropy density ratio η/ s ≈ 1/(4π), and also for a large cross section σ ≈ 50 mb. A key to this agreement is keeping all terms in the Israel–Stewart equations of motion. Our results indicate promising prospects for the applicability of Israel–Stewart dissipative hydrodynamics at RHIC, provided the shear viscosity of hot and dense quark–gluon matter is indeed very small for the relevant temperatures T ∼ 200–500 MeV.