The dynamic magnetic properties of the mixed spin (1/2, 3/2) Ising system with bilinear nearest-neighbor exchange interactions and a crystal-field term under the presence of the external longitudinal magnetic field (ELMF) are investigated by the path probability method. First we briefly examine the equilibrium magnetic properties of the system within the cluster variation method in order to clearly understand the dynamic behavior. In particular, we investigate thermal behavior of the magnetization in detail to search whether or not the metastable and unstable branches of magnetizations occur in the system. We find that the metastable and unstable branches of magnetization only exist if the system is in the presence of the ELMF. We also presented the metastable phase diagrams in the ELMF. Then, we apply the path probability method to the system and obtain the dynamic equations. Numerical solutions of these equations are given in the form of the flow diagrams (FDs). FDs explicitly illustrate the stable, metastable and unstable states as well as the role of the unstable states and initial conditions. FDs also display how one can obtain the metastable state more easily.

通过路径概率研究了在存在外部纵向磁场（ELMF）的情况下具有双线性最近邻交换相互作用和晶体场项的混合自旋（1/2，3/2）Ising系统的动态磁性能方法。首先，为了清楚地了解动态行为，我们简要地研究了群集变化方法中系统的平衡磁性能。特别是，我们详细研究了磁化的热行为，以研究系统中是否发生了亚稳态和不稳定的磁化分支。我们发现，仅当系统存在ELMF时，才存在磁化的亚稳态和不稳定分支。我们还介绍了ELMF中的亚稳态相图。然后，我们将路径概率法应用于系统并获得动力学方程。这些方程的数值解以流程图（FD）的形式给出。FD明确说明了稳定，亚稳态和不稳定状态，以及不稳定状态和初始条件的作用。FD还显示了如何更轻松地获得亚稳态。