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Relativistic Hydrodynamics for Heavy--Ion Collisions -- I. General Aspects and Expansion into Vacuum

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arxiv nucl-th/9504018 v1 pith:EYYZ5TQK submitted 1995-04-19 nucl-th hep-ph

Dirk H. Rischke , Stefan Bernard , Joachim A. Maruhn This is my paper · ORCID
classification nucl-thhep-ph
keywords vacuumphasecollisionsexpansionheavy--ionhydrodynamicsmatterrelativistic
verification ladder T0 review T1 audit T2 compute T3 formal
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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. We investigate their performance for 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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. An improved formula for Wigner function and spin polarization in a decoupling relativistic fluid at local thermodynamic equilibrium

    nucl-th 2025-09 conditional novelty 7.0 of 10

    A new derivation gives the spin polarization of emitted fermions in terms of thermal vorticity and shear evaluated on the decoupling surface, with the shear term expressed through the local hypersurface normal rather ...

  2. Relativistic Viscous Hydrodynamics in the Density Frame: Numerical Tests and Comparisons

    nucl-th 2024-12 conditional novelty 6.0 of 10

    In 1+1D tests, Density Frame hydrodynamics matches QCD kinetic theory within the hydrodynamic regime and remains stable where BDNK and some second-order schemes develop oscillations or fail.

  3. Hadron polarization and equation of state at FAIR/RHIC-BES energies

    nucl-th 2026-06 unverdicted novelty 4.0 of 10

    Lambda polarization in low-energy heavy-ion collisions depends on the equation of state in UrQMD simulations and arises from shear in the baryon current due to stopping.

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