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Building up the elliptic flow: analytical insights
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Building up the elliptic flow: analytical insights
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In this paper, we present a fully analytical description of the early-stage formation of elliptic flow in relativistic viscous hydrodynamics. We first construct an elliptic deformation of Gubser flow which is a boost invariant solution of the Navier-Stokes equation with a nontrivial transverse profile. We then analytically calculate the momentum anisotropy of the flow as a function of time and discuss the connection with the empirical formula by Bhalerao {\it et al.} regarding the viscosity dependence of elliptic flow.
Forward citations
Cited by 2 Pith papers
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Nonlinear response of flow harmonics in Gubser flow with participant-reaction planes mismatch
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.
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Finite-Density Dynamics of Chemically Equilibrating QGP in Conformal Gubser Flow and Hard Thermal Photon Production
Models chemical non-equilibrium in finite-density QGP under conformal Gubser flow and its impact on hard thermal photon production, finding delayed equilibration with quarks lagging gluons, suppressed total yield but ...
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