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Recent decades have seen the discovery of numerous complex materials. At theroot of the complexity underlying many of these materials lies a large numberof possible contending atomic- and larger-scale configurations and theintricate correlations between their constituents. For a detailedunderstanding, there is a need for tools that enable the detection of pertinentstructures on all spatial and temporal scales. Towards this end, we suggest anew method by invoking ideas from network analysis and information theory. Ourmethod efficiently identifies basic unit cells and topological defects insystems with low disorder and may analyze general amorphous structures toidentify candidate natural structures where a clear definition of order islacking. This general unbiased detection of physical structure does not requirea guess as to which of the system properties should be deemed as important andmay constitute a natural point of departure for further analysis. The methodapplies to both static and dynamic systems.

Detection of hidden structures on all scales in amorphous materials and  complex physical systems: basic notions and applications to networks, lattice  systems, and glasses