Hydrodynamical study on the conversion of hadronic matter to quark matter. II. Diffusion-induced conversion

We study transitions of hadronic matter (HM) to three-flavor quark matter (3QM), regarding the conversion processes as combustion and describing them hydrodynamically. We employ for HM Shen's equation of state (EOS), which is based on the relativistic mean field theory, and the bag model-based EOS for quark matter just as in the previous paper. We demonstrated in that paper that in this combination of EOSs, the combustion will occur for a wide range of the bag constant and strong coupling constant in the so-called endothermic regime, in which the Hugoniot curve for combustion runs below the initial state. Finally we study linear stability of the laminar weak-deflagration front and find that it is unstable in the exothermic regime but stable in the endothermic regime, which is quite contrary to the ordinary combustions.