Three-dimensional equation of state generator for quark matte

The recent advancements on gravitational wave (GW) detection and the mass-radius measurements of neutron stars have opened up new ways to infer the equation of state (EoS) of neutron star. In the near future, advanced GW detectors and telescopes will provide more comprehensive multi-messenger data, offering deeper insights into the EoS and strong interaction. However, a gap currently exists between the EoS used to the tidal deformabilities and radii, and the EoS relate to comprehensive multi-messenger signals and serve as simulations inputs.



The inspiral GW, which determined by tidal deformabilities, and mass-radius relations solely depends on the cold and beta-equilibrium 1D EoS. On the other hand, multi-messenger signals that affected by neutrino processes and thermal effects, rely on a temperature and electron-fraction dependent 3D EoS. In order to bridge this gap, we developed a method based on Fermi liquid theory to extend arbitrary cold beta-equilibrium EoS to 3D form. We initially applied this method on the quark matter, constructing 3D quark matter EoS for strange quark stars and hybrid stars. We compared our 3D EoS with the one derived from the microscopic bag model, and analyzed their differences. Finally, we performed a MHD simulation of core-collapse supernova with our phase transition EoS and discussed the effects of thermal contributions and neutrino process.