Phase transition in compact stars due to a violent shock

Abstract

In this letter we study the dynamics of a first order phase transition from nucleonic to quark matter in neutron stars. Using standard equations of state for these two phases we find the density range where such a transition is possible. Then we study the transformation of the star assuming that the quark core is formed via a spherical shock wave. The thermodynamical conditions in the quark core are found from the conservation laws across the transition region. Their dependence on the density and velocity of the incoming nuclear matter are studied. It is found that the shock is especially violent in the beginning of the conversion process when the velocity of the infalling matter is especially high. As the shock propagates further from the center the front velocity first increases and reaches a maximum value when the incoming velocity is around $0.2$. Finally, the front velocity quickly goes to zero when incoming matter velocity approaches zero. We have shown that the density and pressure jumps are especially large in the begining of the transition process.

arXiv comment5 pages, 7 figures

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• On the Deconfinement Phase Transition in Neutron-Star Mergers
• Moment of inertia, quadrupole moment, Love number of neutron star and their relations with strange matter equations of state
• Dynamical phase transition in neutron stars
• Neutron star equation of state and GW170817
• Gravitational wave signature from phase transition of a combusting neutron star to quark star
• A Hydrodynamical Study on the Conversion of Hadronic Matter to Quark Matter: I. Shock-Induced Conversion
• Combustion adiabat and the maximum mass of a quark star
• Multimessenger signal from phase transition of neutron star to quark star
• Effect of magnetic field on the burning of a neutron star
• Maximum mass of hybrid star formed via shock induced phase transition in cold neutron stars
• Semi Universal relation to understand matter properties at neutron star interiors
• Formation of a magnetized hybrid star with a purely toroidal field from phase-transition-induced collapse
• Magnetized taub adiabat and the PT of magnetic neutron stars