Amorphous state in the mixed phase of quark-hadron phase transition in protoneutron stars

Abstract

We study the hadron-quark mixed phase in protoneutron stars, where neutrinos are trapped and lepton number becomes a conserved quantity besides the baryon number and electric charge. Considering protoneutron-star matter as a ternary system, the Gibbs conditions are applied together with the Coulomb interaction. We find that there no crystalline ("pasta") structure appears in the regime of high lepton-number fraction; the size of pasta becomes very large and the geometrical structure becomes mechanically unstable due to the charge screening effect. Consequently the whole system is separated into two bulk regions like an amorphous state, where the surface effect is safely neglected. There, the local charge neutrality is approximately attained, so that the equation of state is effectively reduced to the one for a binary system. Hence, we conclude that there is no possibility for the density discontinuity to appear in protoneutron-star matter, which is a specific feature in a pure system. These features are important when considering astrophysical phenomena such as supernova explosions or radiation of the gravitational wave from protoneutron stars.

4 pages, 5 figures

References in corpus (8)

• Signals of the QCD phase transition in core-collapse supernovae
• Hadron-quark mixed phase in hyperon stars
• Signatures of hadron-quark mixed phase in gravitational waves
• Hybrid protoneutron stars with the MIT bag model
• Quark deconfinement transition in hyperonic matter
• Lepton effects on the proto-neutron stars with the hadron-quark mixed phase in the Nambu-Jona-Lasinio model
• A new possible quark-hadron mixed phase in protoneutron stars
• Shear modulus of the hadron-quark mixed phase

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• Interface effects of strange quark matter with density dependent quark masses
• Structure of the hadron-quark mixed phase in protoneutron stars
• Contraction of cold neutron star due to in the presence a quark core
• Structure formation during phase transitions in strongly interacting matter
• Interface effects of strange quark matter
• Thermodynamical description of hadron-quark phase transition and its implications on compact-star phenomena