2014/11/30 by Long-Gang Pang, Yoshitaka Hatta, Xin-Nian Wang +1 · 74 citations
Mathematics · Physics and Astronomy · #Classical mechanics #Conformal map #Flow (mathematics) #High-Energy Particle Collisions Research #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Mechanics #Numerical analysis #Particle physics theoretical and experimental studies #Physics #Plasma #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Viscous liquid #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevd.91.074027
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 91(7) (American Physical Society) · 6 pages, 5 figures; v3 with more discussion. Published version
arxiv created 2015/04/25 · openalex publication_date 2015/04/27 · arxiv updated 2015/05/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Evolution of quark-gluon plasma near equilibrium can be described by the second-order relativistic viscous hydrodynamic equations. Consistent and analytically verifiable numerical solutions are critical for phenomenological studies of the collective behavior of quark-gluon plasma in high-energy heavy-ion collisions. A novel analytical solution based on the conformal Gubser flow that is a boost-invariant solution with transverse fluid velocity is presented. Because of the nonlinear nature of the equation, the analytical solution is nonperturbative and exhibits features that are rather distinct from solutions to usual linear hydrodynamic equations. It is used to verify with high precision the numerical solution with a newly developed state-of-the-art (3+1)-dimensional second-order viscous hydro code (CLVisc). The perfect agreement between the analytical and numerical solutions demonstrates the reliability of the numerical simulations with the second-order viscous corrections. This lays the foundation for future phenomenological studies that allow one to gain access to the second-order transport coefficients.