论文标题
中子星形甲壳中的超氟动力学:iordanskii力和化学规协方差
Superfluid dynamics in neutron star crusts: the Iordanskii force and chemical gauge covariance
论文作者
论文摘要
我们提出了中子星的超流体内皮的相对论动力学的几何衍生。所得的模型类似于在有限温度下单一组件超流体的Hall-Vinen-Bekarevich-khalatnikov水动力学,但应特别注意这样一个事实,即中子的一小部分被锁定在核中质子的运动中。这引起了建立模型的两种电流(正常和超流量)的定义(正常和超流量)的含糊不清,这个问题表现为理论的化学规范自由。为了确保流体动力学模型的化学量规协方差,量化涡流的现象学运动方程应包含额外的横向力,这是在超氟氦的背景下讨论的iordanskii力的相对论版本。因此,我们扩展了Langlois等人的相互摩擦模型。 (1998年)说明了这种类似iordanskii的力的可能存在。此外,我们提出,可以更好地理解(仍然没有完全解决)围绕超流体氦气以及中子恒星中的iordanskii力的存在(仍未完全解决)争议,可以通过考虑到文献中与两种相反的,相反的,动态系统的动态状态相反的不兼容结果来实现。
We present a geometrical derivation of the relativistic dynamics of the superfluid inner crust of a neutron star. The resulting model is analogous to the Hall-Vinen-Bekarevich-Khalatnikov hydrodynamics for a single-component superfluid at finite temperature, but particular attention should be paid to the fact that some fraction of the neutrons are locked to the motion of the protons in nuclei. This gives rise to an ambiguity in the definition of the two currents (the normal and the superfluid one) on which the model is built, a problem that manifests itself as a chemical gauge freedom of the theory. To ensure chemical gauge covariance of the hydrodynamic model, the phenomenological equation of motion for a quantized vortex should contain an extra transverse force, that is the relativistic version of the Iordanskii force discussed in the context of superfluid Helium. Hence, we extend the mutual friction model of Langlois et al. (1998) to account for the possible presence of this Iordanskii-like force. Furthermore, we propose that a better understanding of the (still not completely settled) controversy around the presence of the Iordanskii force in superfluid Helium, as well as in neutron stars, may be achieved by considering that the different incompatible results present in the literature pertain to two, opposite, dynamical regimes of the fluid system.