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Flow harmonics within an analytically solvable viscous hydrodynamic model

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arxiv 1407.5952 v2 pith:JOZMHR6P submitted 2014-07-22 hep-ph nucl-th

Flow harmonics within an analytically solvable viscous hydrodynamic model

classification hep-ph nucl-th
keywords flowharmonicsmodelviscousanalyticallycomparedhydrodynamicshear
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 $v_n(p_T)$ 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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Nonlinear response of flow harmonics in Gubser flow with participant-reaction planes mismatch

    nucl-th 2026-04 unverdicted novelty 7.0

    Analytic nonlinear response coefficients for v2 and v4 in Gubser flow are derived, including a participant-plane angle factor that modifies strength and sign of the response.

  2. Hydrodynamics and Energy Correlators

    hep-ph 2026-04 unverdicted novelty 6.0

    Energy-energy correlators in heavy-ion collisions exhibit classical hydrodynamic scaling from collective flow at large angles within the small-angle regime, collective modes at smaller angles, and light-ray OPE at eve...