Mutual entrainment effects in hot neutron-proton superfluid mixtures are studied in the framework of the self-consistent nuclear energy-density functional theory. The local mass currents in homogeneous or inhomogeneous nuclear systems, which we derive from the time-dependent Hartree-Fock-Bogoliubov equations at finite temperatures, are shown to have the same formal expression as the ones we found earlier in the absence of pairing at zero temperature. Analytical expressions for the entrainment matrix are obtained for application to superfluid neutron-star cores. Results are compared to those obtained earlier using Landau's theory. Our formulas, valid for arbitrary temperatures and currents, are applicable to various types of functionals including the Brussels-Montreal series for which unified equations of state have been already calculated, thus, laying the ground for a fully consistent microscopic description of superfluid neutron stars.

中文翻译：

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核能密度泛函理论中中子-质子混合物的夹带效应。二。有限的温度和任意电流

在自洽核能密度泛函理论的框架内研究了热中子-质子超流体混合物中的相互夹带效应。我们从有限时间上依赖于时间的Hartree-Fock-Bogoliubov方程式导出的同质或非均质核系统中的局部质量流具有与我们先前发现的零零配对形式相同的形式表达式。温度。获得了夹带矩阵的解析表达式，可应用于超流体中子星核。将结果与先前使用Landau理论获得的结果进行比较。我们的公式适用于任意温度和电流，适用于各种类型的函数，包括已计算出统一状态方程的布鲁塞尔-蒙特利尔系列，