Hybrid equation of state with pasta phases and third family of compact stars I: Pasta phases and effective mixed phase model. (arXiv:1812.11889v1 [nucl-th])

Hybrid equation of state with pasta phases and third family of compact stars I: Pasta phases and effective mixed phase model. (arXiv:1812.11889v1 [nucl-th])
<a href="http://arxiv.org/find/nucl-th/1/au:+Maslov_K/0/1/0/all/0/1">K. Maslov</a>, <a href="http://arxiv.org/find/nucl-th/1/au:+Yasutake_N/0/1/0/all/0/1">N. Yasutake</a>, <a href="http://arxiv.org/find/nucl-th/1/au:+Ayriyan_A/0/1/0/all/0/1">A. Ayriyan</a>, <a href="http://arxiv.org/find/nucl-th/1/au:+Blaschke_D/0/1/0/all/0/1">D. Blaschke</a>, <a href="http://arxiv.org/find/nucl-th/1/au:+Grigorian_H/0/1/0/all/0/1">H. Grigorian</a>, <a href="http://arxiv.org/find/nucl-th/1/au:+Maruyama_T/0/1/0/all/0/1">T. Maruyama</a>, <a href="http://arxiv.org/find/nucl-th/1/au:+Tatsumi_T/0/1/0/all/0/1">T. Tatsumi</a>, <a href="http://arxiv.org/find/nucl-th/1/au:+Voskresensky_D/0/1/0/all/0/1">D. N. Voskresensky</a>

We investigate the effect of the pasta phases formation on the quark-hadron
phase transition for a set of relativistic mean-field equations of state for
both, hadron and quark matter. The results are compared with a mimicking
construction, which was used in a recent study of the robustness of the third
family solution instead of the full numerical solution with pasta phases. We
demonstrate, that the construction allows for describing the numerical results
well and obtain a one-to-one map of the parameter of the construction to the
physical surface tension. For each pair of the models we determined the
critical value of the surface tension, above which the phase transition becomes
close to the Maxwell construction. It agrees qualitatively with earlier
theoretical estimates.

We investigate the effect of the pasta phases formation on the quark-hadron
phase transition for a set of relativistic mean-field equations of state for
both, hadron and quark matter. The results are compared with a mimicking
construction, which was used in a recent study of the robustness of the third
family solution instead of the full numerical solution with pasta phases. We
demonstrate, that the construction allows for describing the numerical results
well and obtain a one-to-one map of the parameter of the construction to the
physical surface tension. For each pair of the models we determined the
critical value of the surface tension, above which the phase transition becomes
close to the Maxwell construction. It agrees qualitatively with earlier
theoretical estimates.

http://arxiv.org/icons/sfx.gif