Simple solutions of relativistic hydrodynamics for longitudinally and cylindrically expanding systems

2003/05/20 by T. Csorgo, T. Csörgő, F. Grassi +2 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Hadron #Heavy ion #High-Energy Particle Collisions Research #Invariant (physics) #Ion #Mathematical physics #Nuclear physics #Physics #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #Rapidity #Simple (philosophy) #nucl-th

paper · pdf · doi:10.1016/s0370-2693(03)00747-0

published as Phys.Lett.B565:107-115,2003 · 16 pages, 2 figures, final form, hep-ph/0203204 and 0204300 are combined, list of references to earlier works and applications is improved

arxiv created 2003/05/20 · openalex publication_date 2003/06/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Simple, self-similar, analytic solutions of (1+1)-dimensional relativistic hydrodynamics are presented, generalizing the Hwa–Bjorken boost-invariant solution to inhomogeneous rapidity distributions. These solutions are generalized also to (1+3)-dimensional, cylindrically symmetric firetubes, corresponding to central collisions of heavy ions at relativistic bombarding energies.

Citations

• Generating new solutions for relativistic transverse flow at the softest point
• Smoothed particle hydrodynamics for relativistic heavy-ion collisions

Cited by

• Klein–Gordon equation in hydrodynamical form
• Quark recombination and elliptic flow
• Novel self-similar rotating solutions of nonideal transverse magnetohydrodynamics
• Back-to-back correlations for finite expanding fireballs