Studies on the Superfluid Vortices in Neutron Star Interious

地壳内部的涡旋蠕变运动是超流体与地壳耦合的机制之一。我们已经通过线性分析表明，这种耦合在临界温度以下是不稳定的。我们研究了这种不稳定性在开始后是如何发展的，用非线性项进行了数值计算。主要研究结果总结如下：不稳定性发展为一个极限环，在这个极限环中，地壳和超流体之间的温度和角速度差振荡。这种不稳定性被认为是摩擦不稳定性。由于温度升高引起的摩擦增大大于角速度差减小引起的摩擦减小，因此不稳定性增大。在振动的某个阶段，内部转矩大于外部转矩，地壳甚至发生了自旋。我们还研究了中子星磁层中的能量释放和粒子加速。主要研究结果如下：通过求解Grad-shafranov方程，首次确定了磁层的整体结构。我们发现磁层中的能量耗散是确定其结构所必需的。由死脉冲星磁层扰动引起的突然放电不能产生比磁偶极子辐射更大的能量释放率。这使得伽马射线爆发的放电模型不太可能。

The vortex creep motion in the inner crust is one of mechanisms which couple the superfluid to the crust. We have already shown by the linear analysis that this coupling is unstable below a critical temperature. We have investigated how this instability develops after the onset, conducting the numerical calculations with nonlinear terms. The main results are summarized as follows.1. The instability develops into a limit-cycle, in which the temperature and angular velocity difference between crust and superfluid oscillate.2. This instabity is identified to be a frictional instability. The instability grows because the increase of friction due to the temperature increase dominates over the decrease of friction due to the decrease of angular velocity difference.3. The internal torque becomes larger than the external torque in some phase of the oscillation and the crust is even spun-up.We have also studied the energy release and particle acceleration in the neutron star magnetosphere. The main results are as follows.1. The global structure of the magnetosphere has been determined for the first time, solving the Grad-shafranov equation. We found that the energy disspation in the magnetosphere is required in order to determaine the structure.2. The sudden discharge caused by a perturbation in the magnetosphere of a dead pulsar cannot yield an energy release rate larger than that of the magnetic dipole radiation. This makes the discharge model for the gamma-ray bursts unlikely.