2017/11/05 by Gabriel S. Denicol, Jorge Noronha · 82 citations
Mathematics · Physics and Astronomy · #Attractor #Causality (physics) #Classical mechanics #Conformal map #Constant (computer programming) #Cosmology and Gravitation Theories #Divergence (linguistics) #Geology #High-Energy Particle Collisions Research #Mathematical analysis #Mathematics #Mechanics #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Relaxation (psychology) #Shear (geology) #Stability (learning theory) #Thermodynamics #Viscosity #Volume viscosity #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevd.97.056021
published in Physical review. D/Physical review. D. 97(5) (American Physical Society) · 22 pages, 7 figures
arxiv created 2017/11/05 · openalex publication_date 2018/03/26 · arxiv updated 2018/04/04 · openalex created_date 2020/05/13 · openalex updated_date 2026/08/05
We find the general analytical solution of the viscous relativistic hydrodynamic equations (in the absence of bulk viscosity and chemical potential) for a Bjorken expanding fluid with an ideal gas equation of state and a constant shear viscosity relaxation time. We analytically determine the hydrodynamic attractor of this fluid and discuss its properties. We show for the first time that the slow-roll expansion, a commonly used approach to characterize the attractor, diverges. This is shown to hold also in a conformal plasma. The gradient expansion is found to converge in an example where causality and stability are violated.