Characterizing Structure Through Shape Matching and Applications to Self Assembly

Correlation Functions: Thus far, we have either extended the applicability of standard condensed matter order parameters and correlation functions by incorporating shape matching, or applied standard shape matching applications directly in the context of assembled systems. However, in addition to extending existing applications for use with assembled systems, shape matching allows us to invent new methods that have not yet been explored. For example, rather than creating correlation functions in space and time as we typically do for condensed matter systems, we can create abstract correlation functions in parameter space. Fig. 9d depicts a parameter space correlation function