Abstract
We apply the convection stability criterion to a fluid in global thermodynamic equilibrium with a rigid rotation or with a constant acceleration along the streamlines. Different equations of state describing strongly interacting matter are considered, and for each of them the analyzed system is found to be stable with respect to convection. This finding brings new evidence for physical relevance of nonstatic global equilibrium states. Our results can be directly used for other similar media to check their convective stability.
Highlights
Convection is a common physical phenomenon taking place in fluids, i.e., gases and liquids [1]
A full space-time dynamics of the system as well as its equation of state, should be known to apply this criterion. In this Rapid Communication we analyze the problem of convective stability of a relativistic fluid in global thermodynamic equilibrium (GTE) with a rigid rotation or with a constant local acceleration along the streamlines
In order to analyze the impact of these two effects, we study initially two simple models inspired by the weakly interacting quark-gluon plasma (QGP): In the first case we consider QGP with two massless and one massive quarks, whereas in the second case we consider an interacting QGP with two massless quarks [21]
Summary
Wojciech Florkowski,1,2,* Avdhesh Kumar,1,† and Radoslaw Ryblewski1,‡ 1Institute of Nuclear Physics, Polish Academy of Sciences, PL-31342 Krakow, Poland. We apply the convection stability criterion to a fluid in global thermodynamic equilibrium with a rigid rotation or with a constant acceleration along the streamlines. Different equations of state describing strongly interacting matter are considered, and for each of them the analyzed system is found to be stable with respect to convection. This finding brings new evidence for physical relevance of nonstatic global equilibrium states. Our results can be directly used for other similar media to check their convective stability
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