论文标题
六角形自旋振荡器阵列的同步属性和储层计算能力
Synchronization properties and reservoir computing capability of hexagonal spintronic oscillator arrays
论文作者
论文摘要
根据矩形和六边形网格之间的比较，研究了阵列几何形状对2-D振荡器阵列同步性能的影响。 kuramoto模型用于具有周期性边界条件的最近的邻居案例，并为带有1/r^3衰减特征的小规模，逼真的耦合案例解决了自旋振荡器的特征。在这两种情况下，都发现，六边形网格选择会使同步阈值较低，并且比矩形对应物更低，这是由于连通性的提高而导致的，在现实耦合案例中，阵列边缘的贡献减少。此外，采用了更一般的自旋变速器振荡器模型，包括振幅和相位作为自由度，用于储层计算模拟，表明，通过使用六边形网格可以增加短期记忆能力，但不能增加系统的平价检查能力。
The influence of array geometry on synchronization properties of a 2-D oscillator array is investigated based on a comparison between a rectangular and a hexagonal grid. The Kuramoto model is solved for a nearest-neighbor case with periodic boundary conditions and for a small-scale, realistic coupling case with 1/r^3 decay characteristic of spintronic oscillators. In both cases, it is found that the hexagonal grid choice leads to lower synchronization threshold and higher emission power than its rectangular counterpart, which results from increased connectivity, as well as, in the realistic-coupling case, from decreased contributions of the array edges. Additionally, a more general spin-torque oscillator model including both amplitude and phase as degrees of freedom is employed for reservoir computing simulations, showing that by using hexagonal grid one can increase the short-term memory capacity but not the parity-check capacity of the system.
