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Relativistic hydrodynamics for heavy-ion collisions. I. General aspects and expansion into vacuum

1995/04/19 by Dirk H. Rischke, Stefan Bernard, J. A. Maruhn +1 · 5 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Equation of state #Hadron #Heavy ion #High-Energy Particle Collisions Research #Ion #Nuclear matter #Nuclear physics #Nucleon #Phase transition #Physics #Plasma #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #Quark #Quark–gluon plasma #Statistical physics #Symmetry (geometry) #hep-ph #nucl-th

paper · pdf · doi:10.1016/0375-9474(95)00355-1

published as Nucl.Phys. A595 (1995) 346-382 · 31 pages, 16 uuencoded figures

arxiv created 1995/04/19 · openalex publication_date 1995/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present algorithms to solve relativistic hydrodynamics in (3+1)-dimensional situations without apparent symmetry to simplify the solution. In simulations of heavy-ion collisions, these numerical schemes have to deal with the physical vacuum and with equations of state with a first order phase transition between hadron matter and a quark-gluon plasma, i.e. rather special conditions fluid-dynamical algorithms are usually not confronted with. Therefore, prior to applying them directly to the simulation of heavy-ion collisions, one should investigate their performance in well-controlled situations. We consider here the one-dimensional expansion of baryon-free nuclear matter into the vacuum, which is an analytically solvable test problem that incorporates both the aspect of the vacuum as well as that of a phase transition in the equation of state. The dependence of the lifetime of the mixed phase on the initial energy density is discussed.

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