Pasta Structures of Quark-Hadron Phase Transition in Proto-Neutron Stars

TL;DR

This paper investigates the formation and stability of pasta-like structures in the quark-hadron mixed phase within proto-neutron stars, emphasizing the roles of finite-size effects, thermal instability, and neutrino presence.

Contribution

It provides a detailed analysis of how finite-size effects, thermal instability, and neutrinos influence the existence and stability of pasta structures in proto-neutron stars.

Findings

Mixed phase region is limited by thermal instability.

Neutrinos destabilize pasta structures.

Finite-size effects are crucial for phase structure stability.

Abstract

We study the quark-hadron mixed phase in proto-neutron stars with the finite-size effects. In the calculations of pasta structures appeared in the mixed phase, the Gibbs conditions require the pressure balance and chemical equilibrium between two phases besides the thermal equilibrium. We find that the region of the mixed phase is limited due to thermal instability. Moreover, we study the effects of neutrinos to the pasta structures. As a result, we find that the existence of neutrinos make the pasta structures unstable, too. These characteristic features of the hadron-quark mixed phase should be important for the middle stage of the evolutions of proto-neutron stars.