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We investigate the connection between local structure and dynamicalheterogeneity in supercooled liquids. Through the study of four differentmodels we show that the correlation between a particle's mobility and thedegree of local order in nearby regions is highly system dependent. Our resultssuggest that the correlation between local structure and dynamics is weak orabsent in systems that conform well to the mean-field picture of glassydynamics and strong in those that deviate from this paradigm. Finally, weinvestigate the role of order-agnostic point-to-set correlations and revealthat they provide similar information content to local structure measures, atleast in the system where local order is most pronounced.

Correlation of Local Order with Particle Mobility in Supercooled Liquids is Highly System Dependent