Flow harmonics within an analytically solvable viscous hydrodynamic model

Yoshitaka Hatta, Jorge Noronha, Giorgio Torrieri, and Bo-Wen Xiao
Phys. Rev. D 90, 074026 – Published 21 October 2014

Abstract

Based on a viscous hydrodynamic model with anisotropically perturbed Gubser flow and isothermal Cooper-Frye freeze-out at early times, we analytically compute the flow harmonics vn(pT) and study how they scale with the harmonic number n and transverse momentum, as well as the system size, shear, and bulk viscosity coefficients, and collision energy. In particular, we find that the magnitude of shear viscous corrections grows linearly with n. The mixing between different harmonics is also discussed. While this model is rather simple as compared to realistic heavy-ion collisions, we argue that the scaling results presented here may be meaningfully compared to experimental data collected over many energies, system sizes, and geometries.

  • Received 29 July 2014

DOI:https://doi.org/10.1103/PhysRevD.90.074026

© 2014 American Physical Society

Authors & Affiliations

Yoshitaka Hatta1, Jorge Noronha2, Giorgio Torrieri3, and Bo-Wen Xiao4

  • 1Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan
  • 2Instituto de Física, Universidade de São Paulo, C.P. 66318, 05315-970 São Paulo, São Paulo, Brazil
  • 3IFGW, Universidade Estadual de Campinas, 13083-859 Campinas, São Paulo, Brazil
  • 4Key Laboratory of Quark and Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China

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Issue

Vol. 90, Iss. 7 — 1 October 2014

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