论文标题

部分可观测时空混沌系统的无模型预测

Synthesis of functional nitride membranes using sacrificial water-soluble BaO layers

论文作者

Chen, Shengru, Jin, Qiao, Lin, Shan, Hong, Haitao, Cui, Ting, Rong, Dongke, Song, Guozhu, Wang, Shanmin, Jin, Kuijuan, Zheng, Qiang, Guo, Er-Jia

论文摘要

储层计算是预测湍流的有力工具,其简单的架构具有处理大型系统的计算效率。然而,其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间,然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用,该系统模拟了湍流的若干特征。我们表明,使用径向基函数作为非线性投影器,即使只有部分观测并且不知道控制方程,也能稳健地捕捉复杂的系统非线性。最后,我们表明,当测量稀疏、不完整且带有噪声,甚至控制方程变得不准确时,我们的网络仍然可以产生相当准确的预测,从而为实际湍流系统的无模型预测铺平了道路。

Transition metal nitrides (TMNs) exhibit fascinating physical properties that hold great potential in future device applications. To stack two-dimensional TMNs with other functional materials that have dissimilar orientations and symmetries requires to separate epitaxial TMNs from the growth substrates. However, the lattice constants of TMNs are not compatible with those of most sacrificial layers, leading to a great challenge to fabricate high-quality single crystalline TMN membranes. In this letter, we report the application of a water-soluble BaO sacrificial layer as a general approach to create freestanding TMN membranes. Taken CrN as an example, the relatively small lattice mismatch and identical cubic structure between BaO and CrN ensure the growth of heterostructures. Millimeter-size CrN membrane allows us to directly observe the planar-view of atomic structure and to correlate its electronic state with intrinsic transport properties. Our work provides the opportunity to fabricate freestanding TMN membranes and the ability to transfer them to arbitrary substrates. The integration of TMN membranes with other materials will stimulate further studies in the emergent phenomena at heterointerfaces.

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