Abstract
© 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 language | English |
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Pages (from-to) | 1100-1110 |
Journal | Monthly Notices of the Royal Astronomical Society |
Volume | 476 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 May 2018 |
Keywords
- Dense matter
- Equation of state
- Hydrodynamics
- Methods: numerical
- Relativistic processes
- Shock waves