New exact solutions of relativistic hydrodynamics for longitudinally expanding fireballs

T. Csörgő, Gábor Kasza, M. Csanád, Zefang Jiang

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We present new, exact, finite solutions of relativistic hydrodynamics for longitudinally expanding fireballs for arbitrary constant value of the speed of sound. These new solutions generalize earlier, longitudinally finite, exact solutions, from an unrealistic to a reasonable equation of state, characterized by a temperature independent (average) value of the speed of sound. Observables such as the rapidity density and the pseudorapidity density are evaluated analytically, resulting in simple and easy to fit formulae that can be matched to the high energy proton-proton and heavy ion collision data at RHIC and LHC. In the longitudinally boost-invariant limit, these new solutions approach the Hwa-Bjorken solution and the corresponding rapidity distributions approach a rapidity plateaux.

Original languageEnglish
Article number69
JournalUniverse
Volume4
Issue number6
DOIs
Publication statusPublished - Jun 1 2018

Fingerprint

fireballs
hydrodynamics
acoustics
acceleration (physics)
proton energy
ionic collisions
plateaus
equations of state
protons
ions
temperature

Keywords

  • Exact solution
  • Longitudinal flow
  • Pseudorapidity distribution
  • Quark-gluon plasma
  • Rapidity distribution
  • Relativistic hydrodynamics

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

New exact solutions of relativistic hydrodynamics for longitudinally expanding fireballs. / Csörgő, T.; Kasza, Gábor; Csanád, M.; Jiang, Zefang.

In: Universe, Vol. 4, No. 6, 69, 01.06.2018.

Research output: Contribution to journalArticle

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