Mixed phase in the first-order phase transition of nuclear matter at finite temperature

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We have explored the properties and structures of nuclear matter relevant to the core of supernovae. Particularly, the appearance of mixed phase of liquid and gas was studied in detail. The cooling process of neutron stars by the Urca process was studied by considering hadron-quark mixed phase. We succeeded in explaining the cooling of Cas A neutron star.We have revised our model of hadron-quark mixed phase at high density and succeeded in explaining the mass and radius of neutron star as heavy as twice the solar mass.