Relativistic Hydrodynamics for Heavy--Ion Collisions -- II. Compression of Nuclear Matter and the Phase Transition to the Quark--Gluon Plasma

Abstract

We investigate the compression of nuclear matter in relativistic hydrodynamics. Nuclear matter is described by a $\sigma -\omega$--type model for the hadron matter phase and by the MIT bag model for the quark--gluon plasma, with a first order phase transition between both phases. In the presence of phase transitions, hydrodynamical solutions change qualitatively, for instance, one-dimensional stationary compression is no longer accomplished by a single shock but via a sequence of shock and compressional simple waves. We construct the analytical solution to the ``slab-on-slab'' collision problem over a range of incident velocities. The performance of numerical algorithms to solve relativistic hydrodynamics is then investigated for this particular test case. Consequences for the early compressional stage in heavy--ion collisions are pointed out.

22 pages, 12 uuencoded figures

References in corpus (4)

• Relativistic Hydrodynamics for Heavy--Ion Collisions -- I. General Aspects and Expansion into Vacuum
• Observation of Anisotropic Event Shapes and Transverse Flow in Au+Au Collisions at AGS Energy
• Collective Flow from the Intranuclear Cascade Model
• On the Role of Dissipation in the Early Stages of Relativistic Heavy Ion Collisions

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