Mixed phases during the phase transitions

Tatsumi, Toshitaka*; Yasutake, Nobutoshi*; Maruyama, Toshiki  

We consider the first-order phase transitions and the phase equilibrium on the basis of the gibbs conditions, taking the liquid-gas phase transition in asymmetric nuclear matter as an example. Characteristic features of the mixed phase are figured out by solving the coupled equations for mean-fields and densities of constituent particles self-consistently. The mixed phase is inhomogeneous matter composed of two phases with characteristic shapes called "pasta". We take into account the coulomb interaction and the interface energy, and thereby sometimes we see the mechanical instability of the mixed phase. Thermal effect on the liquid-gas phase transition is also elucidated. Similarly hadron-quark deconfinement transition is studied in hyperonic matter, where the neutrino-trapping effect as well as the thermal effect is discussed. Specific features of the mixed phase are elucidated and the equation of state is presented.