Abstract Monte Carlo simulation technique is applied on a magnetic bilayer system composed of spin-1/2 Ising and spin-1 Blume-Capel spin variables distributed on a honeycomb lattice. Assuming an indirect exchange interaction between adjacent monolayers, we investigate the influence of single ion anisotropy and number of nonmagnetic layers between the magnetic sheets on the critical behavior of the system. Equilibrium phase diagram in a reduced pseudo critical temperature ( T c / J ) versus reduced single ion anisotropy ( D B / J ) plane has been determined. In the presence of alternating magnetic field, dynamic phase transition properties have been elucidated. The form of the oscillating magnetic field is assumed to be in a square wave form. By performing a detailed finite-size scaling analysis, we have calculated the critical half period t 1 / 2 c at which the system undergoes a dynamic phase transition between dynamically ordered and disordered states. Extracted critical exponent ratios β / ν and γ / ν suggest that observed dynamic phase transition for the present multilayer system falls into the same universality class as the equilibrium two-dimensional Ising model.

中文翻译：

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准二维系统中的动态相变和通用性：蜂窝晶格上的双层 Ising/Blume-Capel 铁磁体

摘要 蒙特卡罗模拟技术应用于由分布在蜂窝晶格上的spin-1/2 Ising和spin-1 Blume-Capel自旋变量组成的磁性双层系统。假设相邻单层之间存在间接交换相互作用，我们研究了单离子各向异性和磁片之间的非磁性层数对系统临界行为的影响。已确定降低的伪临界温度 (T c / J ) 与降低的单离子各向异性 ( DB / J ) 平面的平衡相图。在交变磁场的存在下，已经阐明了动态相变特性。振荡磁场的形式假定为方波形式。通过执行详细的有限尺寸缩放分析，我们已经计算了系统在动态有序和无序状态之间经历动态相变的临界半周期 t 1 / 2 c。提取的临界指数比 β / ν 和 γ / ν 表明观察到的当前多层系统的动态相变与平衡二维 Ising 模型属于相同的普遍性类别。