Crystalline structure of the mixed confined-deconfined phase in neutron stars

Abstract

Abstract. We review the differences in first order phase transition of single and multi-component systems, and then discuss the crystalline structure expected to exist in the mixed confined-deconfined phase of hadronic matter. The particular context of neutron stars is chosen for illustration. The qualitative results are general and apply for example to the vapor-liquid transition in subsaturated asymmetric nuclear matter.

Impact of Rotation on Quark–Hadron Hybrid Stars

“…Note that this parameter may be closely related to the confining mechanism, but unfortunately we have no definite idea about how to incorporate it into that mechanism. Indeed, many authors treat the strength of σ as a free parameter and observe the variation in the results with different settings [11][12][13]. Taking the same approach for the surface contribution, we carefully minimize Ω total in this study, with the Gibbs conditions for phase equilibrium:…”

Finite-size effects on the hadron-quark mixed phase

“…Recently it seems to be widely believed that the structured mixed phase (SMP) would appear in the wide density range during the first order phase transitions with many (≥ 2) chemical potentials [1,2,3]. Applying the Gibbs conditions to get the equation of state (EOS), one may see non-uniform structures of not only baryon density but also charge density distribution for the mixed phase, and no constant pressure region in EOS.…”

“…If this is the case, the Maxwell construction (MC) should become meaningless, where the phase equilibrium between two bulk matters with local charge neutrality is assumed. The appearance of such SMP in the hadron-quark deconfinement transition has been expected inside neutron stars and its implications have been discussed [3].…”

“…1 (a). We also depict another curve denoted by "no screening" to elucidate the charge screening effect, which is given by a perturbative treatment [2,3] of the Coulomb interaction. Then we can see that the large reduction of the thermodynamical potential from "bulk Gibbs" is mainly given the effect of the surface tension, while the screening effect further reduces it.…”

Untitled

“…A discussion of all the three cases might be interesting in connection with the expectation that the slab, the rod and the droplet structures may exist within the mixed quark-hadron phase of the neutron stars, cf. [18], [19].…”