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

Abstract

The non-monotonicity of the local speed of sound in dense matter at baryon number densities much higher than the nuclear saturation density ($n_0\approx 0.16$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, whose parameters can be restricted heeding to causality and thermodynamic stability constraints. This EoS shall be regarded as a toy-model with which we may mimic realistic (and far more complex) EoS of practical use in the realm of Relativistic Hydrodynamics.

22 pages, 8 figures. Accepted by MNRAS

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Cited by in corpus (5)

• Gravitational waves from neutron star mergers and their relation to the nuclear equation of state
• Neutron star collapse and gravitational waves with a non-convex equation of state
• Gravitational-wave imprints of non-convex dynamics in binary neutron star mergers
• One- and two-argument equation of state parametrizations with continuous sound speed for neutron star simulations
• Fundamental and higher-order excited modes of radial oscillation of neutron stars for various types of cold nucleonic and hyperonic matter