The mixed spin Ising nanowire with random and dilute crystal fields has been explored based on the finite cluster approximation. Much concern has been addressed in treating the effects of the randomness with two distribution types of the crystal field on the phase diagrams. It has been demonstrated that for a low random crystal field D marked by the fluctuation d, all transition lines are of second order and are not particularly sensitive to the fluctuation; whereas, for high values of D, the transition temperature depends on the fluctuation and may display tricritical points. Under the effect of the dilute crystal field, according to the surface shell coupling strength, the tricritical behavior occurs exclusively for higher values of the concentration p where a large majority of spins are influenced by the crystal field. All these behaviors have been confirmed by examination of magnetizations.

基于有限簇近似，探索了具有随机稀晶场的混合自旋伊辛纳米线。人们在处理相图上两种晶体场分布类型的随机性影响方面引起了很多关注。已经证明，对于以涨落d为标志的低随机晶体场D，所有跃迁线都是二阶的，并且对涨落不是特别敏感；然而，对于高D值，转变温度取决于波动，并且可能显示三临界点。在稀晶体场的作用下，根据表面壳层耦合强度，三临界行为仅在浓度p较高的情况下发生，其中大部分自旋受到晶体场的影响。所有这些行为均已通过磁化强度检查得到证实。