Critical spectrum of fluctuations for deconfinement at proto-neutron star cores

Abstract

We study the deconfinement of hadronic matter into quark matter in a protoneutron star focusing on the effects of the finite size on the formation of just-deconfined color superconducting quark droplets embedded in the hadronic environment. The hadronic phase is modeled by the non-linear Walecka model at finite temperature including the baryon octet and neutrino trapping. For quark matter we use an $SU(3{)}_f$ Nambu-Jona-Lasinio model including color superconductivity. The finite size effects on the just deconfined droplets are considered in the frame of the multiple reflection expansion. In addition, we consider that just deconfined quark matter is transitorily out of equilibrium respect to weak interaction, and we impose color neutrality and flavor conservation during the transition. We calculate self-consistently the surface tension and curvature energy density of the quark hadron inter-phase and find that it is larger than the values typically assumed in the literature. The transition density is calculated for drops of different sizes, and at different temperatures and neutrino trapping conditions. Then, we show that energy-density fluctuations are much more relevant for deconfinement than temperature and neutrino density fluctuations. We calculate the critical size spectrum of energy-density fluctuations that allows deconfinement as well as the nucleation rate of each critical bubble. We find that drops with any radii smaller than 800 fm can be formed at a huge rate when matter achieves the bulk transition limit of 5-6 times the nuclear saturation density.

arXiv comment10 pages, 4 figures

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Cited by in corpus (23)

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• Quark matter nucleation in neutron stars and astrophysical implications
• The influence of strong magnetic fields on proto-quark stars
• Surface tension of dense matter at the chiral phase transition
• Delta baryons and diquark formation in the cores of neutron stars
• From quark drops to quark stars: some aspects of the role of quark matter in compact stars
• The Deconfinement Phase Transition in Proto-Neutron-Star Matter
• Surface tension of highly magnetized degenerate quark matter
• Surface tension of hot and dense quark matter under strong magnetic fields
• Magnetised hybrid stars: effects of slow and rapid phase transitions at the quark-hadron interface
• Formation of hybrid stars from metastable hadronic stars
• Polyakov-Nambu-Jona-Lasinio phase diagrams and quarkyonic phase from order parameters
• Finite size effects in strongly interacting matter at zero chemical potential from Polyakov loop Nambu-Jona-Lasinio model in the light of lattice data
• Nucleation rate of color superconducting droplets in protoneutron stars
• Surface and curvature properties of charged strangelets in compact objects
• Hybrid stars with color superconducting cores in an extended FCM model
• Self-bound quark matter in the NJL model revisited: from schematic droplets to domain-wall solitons
• Strangelets at finite temperature in an equivparticle model
• Neutrino diffusive transport in hot quark matter: a detailed analysis
• Relativistic Gravitational Collapse by Thermal Mass
• Magnetized strangelets with anomalous magnetic moment and Coulomb interactions