Quark-Hadron mixed phase with hyperons in proto-neutron stars

The quark-hadron mixed phase ("pasta" phase) with hyperons and neutrinos is studied at finite temperature. We take into account the finite-size effects to the mixed phase, imposing the Gibbs conditions. As a result, we find that the mixed phase becomes unstable at finite temperature. The presence of neutrinos makes the pasta structures more unstable. These results suggest that the quark-hadron mixed phase will appear during the evolution of protoneutron stars after supernova explosions.