2019/10/31 by Deeptak Biswas, Kishan Deka, Amaresh Jaiswal +1
Mathematics · Physics and Astronomy · #Classical mechanics #Collision #Conformal map #Cosmology and Gravitation Theories #Dissipative system #Equation of state #Geodesic #Hadron #High-Energy Particle Collisions Research #Mathematical analysis #Mathematics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum mechanics #Rapidity #Spectral line #Speed of sound #Viscosity #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevc.102.014912
published as Phys. Rev. C 102, 014912 (2020) · 7 pages, 2 figures, published version
openalex created_date 2020/04/10 · arxiv created 2020/07/29 · openalex publication_date 2020/07/29 · arxiv updated 2020/07/30 · openalex updated_date 2026/08/05
We find an analytical solution to relativistic viscous hydrodynamics for a (1+1)-dimensional Landau flow profile. We consider relativistic Navier-Stokes form of the dissipative hydrodynamic equation, for a nonconformal system with a constant speed of sound, and employ the obtained solution to fit rapidity spectrum of observed pions in √sNN=200, 17.3, 12.3, 8.76, 7.62, 6.27, 4.29, 3.83, 3.28, and 2.63 GeV collision energies. We find that at the freeze-out hypersurface with improved Landau's freeze-out prescription, the viscous corrections do not affect the rapidity spectra. We demonstrate that the solution of the nonconformal Landau flow leads to a better agreement with the experimental data compared to the conformal ideal solution. We also extract speed of sound from fit to the rapidity spectra for various collision energies and find a monotonous decrease with decreasing collision energies. Appealing to the fact that viscosity has negligible effect on rapidity spectra for Landau's freeze-out scenario, we argue that our calculations provides a framework for extracting the average value of speed of sound in relativistic heavy-ion collisions.