旋转铁磁流体的磁化：不同理论模型的预测
Magnetization of rotating ferrofluids: predictions of different theoretical models
摘要：
将以恒定转动频率Ωe_z转动的磁流体圆柱体视为刚体。均匀磁场H_0 e_x垂直于圆柱轴e_z施加。这就造成了一种非平衡状态。其中，磁化强度M和内部磁场H在时间上是恒定的并且在铁磁流体内是均匀的。根据麦克斯韦方程组，它们通过H = H_0 - M/2相互关联。然而，H和M彼此不平行，并且它们的方向不同于所施加的场H_0的方向。我们已经分析了几种不同的理论模型，提供了在这种情况下的磁化方程。在很宽的频率和磁场范围内，每个模型的磁化强度M都是Ω和H_0的函数。对不同模式的结果进行了比较，特别是对场的垂直分量H_y =-M_y/2的预测的差异进行了分析。
英文摘要：
We consider a ferrofluid cylinder, that is rotating with constant rotation frequency Ωe_z as a rigid body. A homogeneous magnetic field H_0 e_x is applied perpendicular to the cylinder axis e_z. This causes a nonequilibrium situation. Therein the magnetization M and the internal magnetic field H are constant in time and homogeneous within the ferrofluid. According to the Maxwell equations they are related to each other via H = H_0 - M/2. However, H and M are not parallel to each other and their directions differ from that of the applied field H_0. We have analyzed several different theoretical models that provide equations for the magnetization in such a situation. The magnetization M is determined for each model as a function of Ωand H_0 in a wide range of frequencies and fields. Comparisons are made of the different model results and the differences in particular of the predictions for the perpendicular components H_y =-M_y/2 of the fields are analyzed.
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