The physics of higher-order interactions in complex systems
The physics of higher-order interactions in complex systems
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DOI：
10.1038/s41567-021-01371-4
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发表时间：
2021-10-01
期刊：
影响因子：
19.6
通讯作者：
Petri, Giovanni
中科院分区：
文献类型：
--
作者：
Battiston, Federico;Amico, Enrico;Petri, Giovanni
复杂系统的网络表示仅限于成对交互，但现实世界的系统通常涉及高阶交互。这一视角着眼于试图描述这些相互作用的新物理学。复杂网络已成为相互作用系统动力学建模的主要范例。然而，网络本质上局限于描述成对的相互作用，而现实世界的系统通常以涉及三个或更多单元的组的高阶相互作用为特征。因此，高阶结构，如超图和简单复合体，是绘制许多社会、生物和人造系统的真实组织的更好工具。在这里，我们强调了由高阶相互作用引起的集体行为的最新证据，并概述了高阶系统物理学面临的三个关键挑战。
Network representations of complex systems are limited to pairwise interactions, but real-world systems often involve higher-order interactions. This Perspective looks at the new physics emerging from attempts to characterize these interactions.Complex networks have become the main paradigm for modelling the dynamics of interacting systems. However, networks are intrinsically limited to describing pairwise interactions, whereas real-world systems are often characterized by higher-order interactions involving groups of three or more units. Higher-order structures, such as hypergraphs and simplicial complexes, are therefore a better tool to map the real organization of many social, biological and man-made systems. Here, we highlight recent evidence of collective behaviours induced by higher-order interactions, and we outline three key challenges for the physics of higher-order systems.