Family of New Exact Solutions for Longitudinally Expanding Ideal Fluids

Abstract

We report on the discovery of new analytical solutions of the equations of relativistic ideal hydrodynamics. In this solution, the fluid expands in the longitudinal direction and contains a plateau structure that extends over a finite range in rapidity and can be either symmetric or asymmetric in that variable. We further calculate the corresponding pseudo-rapidity distribution of hadron yields, and find decent agreement with experimental measurements in high-energy Pb+Pb, Au+Au, p+Pb, and d+Au collisions.

arXiv comment7 pages, 3 figures

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Cited by in corpus (3)

• Relativistic hydrodynamics with spin in the presence of electromagnetic fields
• Finite-Density Dynamics of Chemically Equilibrating QGP in Conformal Gubser Flow and Hard Thermal Photon Production
• Viscous Gubser flow with conserved charges to benchmark fluid simulations