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Relativistic viscous hydrodynamics for heavy-ion collisions with ECHO-QGP

  • L. Del ZannaEmail author
  • V. Chandra
  • G. Inghirami
  • V. Rolando
  • A. Beraudo
  • A. De Pace
  • G. Pagliara
  • A. Drago
  • F. Becattini
Regular Article - Theoretical Physics

Abstract

We present ECHO-QGP, a numerical code for (3+1)-dimensional relativistic viscous hydrodynamics designed for the modeling of the space-time evolution of the matter created in high-energy nuclear collisions. The code has been built on top of the Eulerian Conservative High-Order astrophysical code for general relativistic magneto-hydrodynamics (Del Zanna et al. in Astron. Astrophys. 473:11, 2007] and here it has been upgraded to handle the physics of the Quark–Gluon Plasma. ECHO-QGP features second-order treatment of causal relativistic viscosity effects both in Minkowskian and in Bjorken coordinates; partial or complete chemical equilibrium of hadronic species before kinetic freeze-out; initial conditions based on the Glauber model, including a Monte-Carlo routine for event-by-event fluctuating initial conditions; a freeze-out procedure based on the Cooper–Frye prescription. The code is extensively validated against several test problems and results always appear accurate, as guaranteed by the combination of the conservative (shock-capturing) approach and the high-order methods employed. ECHO-QGP can be extended to include evolution of the electromagnetic fields coupled to the plasma.

Keywords

Relativistic fluid dynamics Relativistic heavy-ion collisions Quark-gluon plasma Methods: numerical 

Notes

Acknowledgements

This work has been supported by the Italian Ministry of Education and Research grant PRIN 2009 Il Quark–Gluon Plasma e le collisioni nucleari di alta energia and by the INFN project RM31. F.B. acknowledges the support of HIC for FAIR during his sabbatical leave in Frankfurt. We are thankful to J. Rizzo, P. Cea, and L. Cosmai for help in the initial stage of this project, and to R. Tripiccione for many interesting informative discussions about the freeze-out procedure. G.P. acknowledges financial support from the Italian Ministry of Research through the program Rita Levi Montalcini.

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Copyright information

© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica 2013

Authors and Affiliations

  • L. Del Zanna
    • 1
    • 2
    • 3
    Email author
  • V. Chandra
    • 2
  • G. Inghirami
    • 1
    • 2
  • V. Rolando
    • 4
    • 5
  • A. Beraudo
    • 6
  • A. De Pace
    • 7
  • G. Pagliara
    • 4
    • 5
  • A. Drago
    • 4
    • 5
  • F. Becattini
    • 1
    • 2
    • 8
  1. 1.Dipartimento di Fisica e AstronomiaUniversità di FirenzeSesto F.no (Firenze)Italy
  2. 2.Sezione di FirenzeINFNSesto F.no (Firenze)Italy
  3. 3.Osservatorio Astrofisico di ArcetriINAFFirenzeItaly
  4. 4.Dipartimento di Fisica e Scienze della TerraUniversità di FerraraFerraraItaly
  5. 5.Sezione di FerraraINFNFerraraItaly
  6. 6.Physics DepartmentTheory Unit, CERNGenève 23Switzerland
  7. 7.Sezione di TorinoINFNTorinoItaly
  8. 8.Frankfurt Institute for Advanced StudiesFrankfurt am MainGermany

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