六角自旋电子振荡器阵列的同步特性和库计算能力
Synchronization properties and reservoir computing capability of hexagonal spintronic oscillator arrays
摘要：
通过对矩形和六边形网格的比较，研究了阵列几何形状对二维振子阵列同步特性的影响。仓本模型求解的最近邻情况下，周期性的边界条件和小规模的，现实的耦合情况下，1/r^3衰变特性的自旋电子振荡器。在这两种情况下，它被发现，六边形网格的选择导致较低的同步阈值和较高的发射功率比其矩形对应，这是由于增加的连接，以及，在现实耦合的情况下，从减少的贡献的阵列边缘。此外，一个更一般的自旋力矩振荡器模型，包括振幅和相位作为自由度的水库计算模拟，显示通过使用六边形网格可以增加短期记忆容量，但不是奇偶校验容量的系统。
英文摘要：
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.
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