On an exact hydrodynamic solution for the elliptic flow

Abstract

Looking for the underlying hydrodynamic mechanisms determining the elliptic flow we show that for an expanding relativistic perfect fluid the transverse flow may derive from a solvable hydrodynamic potential, if the entropy is transversally conserved and the corresponding expansion "quasi-stationary", that is mainly governed by the temperature cooling. Exact solutions for the velocity flow coefficients $v_2$ and the temperature dependence of the spatial and momentum anisotropy are obtained and shown to be in agreement with the elliptic flow features of heavy-ion collisions.

10 pages, 4 figures

References in corpus (6)

• Relativistic hydrodynamics for heavy-ion collisions
• Elliptic flow and incomplete equilibration at RHIC
• Hydrodynamics and Flow
• Entropy flow of a perfect fluid in (1+1) hydrodynamics
• Early evolution of transversally thermalized partons
• Relativistic hodograph equation for a two-dimensional stationary isentropic hydrodynamical motion

Cited by in corpus (17)

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• Holographic Heavy-Ion Collisions: Analytic Solutions with Longitudinal Flow, Elliptic Flow and Vorticity
• A systematic study of exact solutions in second-order conformal hydrodynamics
• Flow harmonics $v_n$ at finite density
• Evolution of magnetic fields from the 3+1 dimensional self-similar and Gubser flows in ideal relativistic magnetohydrodynamics
• Azimuthal anisotropy: transition from hydrodynamic flow to jet suppression
• Initial indications for the production of a strongly coupled plasma in Pb+Pb collisions at $\sqrt{s_{NN}}=2.76$ TeV
• New exact solutions of relativistic hydrodynamics for longitudinally expanding fireballs
• Analytical Solutions of Landau (1+1)-Dimensional Hydrodynamics
• Relativistic hydrodynamical model in the presence of long-range correlations
• Building up the elliptic flow: analytical insights
• On Analytic Solutions of (1+3)D Relativistic Ideal Hydrodynamic Equations
• Klein-Gordon Equation in Hydrodynamical Form