Anomalous dynamics triggered by a non-convex equation of state in relativistic flows

J. M. Ibáñez, A. Marquina, S. Serna, M. A. Aloy

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4 Citations (Scopus)


© 2018 The Author(s). The non-monotonicity of the local speed of sound in dense matter at baryon number densities much higher than the nuclear saturation density (n0 ≈ 0.16 fm-3) suggests the possible existence of a non-convex thermodynamics which will lead to a non-convex dynamics. Here, we explore the rich and complex dynamics that an equation of state (EoS) with non-convex regions in the pressure-density plane may develop as a result of genuinely relativistic effects, without a classical counterpart. To this end, we have introduced a phenomenological EoS, the parameters of which can be restricted owing to causality and thermodynamic stability constraints. This EoS can be regarded as a toy model with which we may mimic realistic (and far more complex) EoSs of practical use in the realm of relativistic hydrodynamics.
Original languageEnglish
Pages (from-to)1100-1110
JournalMonthly Notices of the Royal Astronomical Society
Issue number1
Publication statusPublished - 1 May 2018


  • Dense matter
  • Equation of state
  • Hydrodynamics
  • Methods: numerical
  • Relativistic processes
  • Shock waves


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