English

Flow harmonics within an analytically solvable viscous hydrodynamic model

High Energy Physics - Phenomenology 2014-10-29 v2 Nuclear Theory

Abstract

Based on a viscous hydrodynamic model with anisotropically perturbed Gubser flow and isothermal Cooper-Frye freezeout at early times, we analytically compute the flow harmonics vn(pT)v_n(p_T) and study how they scale with the harmonic number nn 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 nn. 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.

Keywords

Cite

@article{arxiv.1407.5952,
  title  = {Flow harmonics within an analytically solvable viscous hydrodynamic model},
  author = {Yoshitaka Hatta and Jorge Noronha and Giorgio Torrieri and Bo-Wen Xiao},
  journal= {arXiv preprint arXiv:1407.5952},
  year   = {2014}
}

Comments

19 pages, v2 with more discussion and references. To be published in Physical Review D

R2 v1 2026-06-22T05:10:09.580Z