Anomalous dynamics triggered by a non-convex equation of state in relativistic flows. Issue 1 (6th March 2018)

• Record Type: Journal Article
• Authors: Ibáñez, J M; Marquina, A; Serna, S; Aloy, M A
• Is Part Of: Monthly notices of the Royal Astronomical Society. Volume 476:Issue 1(2018)
• Page Start: 1100
• Page End: 1110
• Publication Date: 2018-03-06
• Subjects: dense matter -- equation of state -- hydrodynamics -- relativistic processes -- shock waves -- methods: numerical; Astronomy -- Periodicals; Periodicals; 520.5
• DOI: 10.1093/mnras/sty137
• Languages: English
• ISSNs: 0035-8711

Abstract

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 ≈ 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.