Structure-Dynamics Correlation and Its Link to Fragility and Dynamic Heterogeneity

Abstract: Understanding the connection between structure, dynamics, and fragility (the rate at which relaxation time grow with decreasing temperature) is central to unraveling the glass transition. Fragility is often linked to dynamic heterogeneity, and thus it is commonly assumed that if structure influences dynamics, more fragile systems should exhibit stronger structure dynamics correlations. In this study, we test the generality of this assumption using three model systems: Lennard-Jones (LJ) and Weeks--Chandler--Andersen, where fragility is tuned via density, and a modified LJ (q, p) system, where potential softness is changed to vary fragility. We employ a structural order parameter derived from the mean field caging potential and analyze energy barriers at both macroscopic and microscopic levels. While the macroscopic slope of the energy barrier, suitably defined, correlates with fragility, no consistent correlation is found for the microscopic energy barriers. Instead, the latter shows a strong correlation with an independently computed structure dynamics measure obtained from isoconfigurational ensemble. Surprisingly, the two systems with the highest structure dynamics correlation, LJ at rho = 1.1 and the (8, 5) model, are respectively the least and most fragile within their classes. These systems exhibit broad mobility distributions, bimodal displacement profiles, and high non-Gaussian parameters, all indicative of dynamic heterogeneity. However, their dynamic susceptibilities remain low, suggesting a decoupling between spatial correlation and temporal heterogeneity. Both systems lie in the enthalpy-dominated regime and are near the spinodal, suggesting mechanical instability as a source of heterogeneity. These findings challenge the conventional linkage among fragility, heterogeneity, and structure-dynamics correlation.