Dynamical Classification of Supercooled Liquids: Critical Cooling Rates and Entropic Signatures

Abstract: Using molecular dynamics simulations, we systematically investigate supercooled liquids formed at cooling rates below and above the critical cooling rate (CCR). By analyzing the distribution of short-time averaged potential energies (DoPE) and crystallization behaviors, we identify two distinct dynamical regimes in supercooled liquids: the glass-forming regime (GFR) and the crystal-forming regime (CFR). For systems cooled below CCR (CFR), the DoPE exhibits a sharp peak, indicative of reduced configurational entropy. In contrast, liquids cooled above CCR (GFR) display a broad DoPE distribution, reflecting higher configurational entropy. These findings establish a robust classification framework for supercooled liquids. Further analysis reveals a crossover temperature (T_x) in both regimes, consistent with the freezing temperature (T_f). Near T_x, crystallization barrier-temperature relationships exhibit abrupt changes. Below T_x, CFR crystallizes marginally faster than GFR, whereas above T_x, the influence of cooling rates on crystallization rates diminishes. These results further categorize GFR and CFR into high and low-temperature sub-regimes, highlighting the interplay between thermodynamics and kinetics in supercooled liquids.