Determine the low-temperature behavior of the three-dimensional beta-regime correlation length

Determine whether the non-monotonic temperature dependence of the beta-regime dynamical correlation length persists throughout the structural alpha-relaxation regime at the lowest temperatures investigated in the three-dimensional model glass former.

Background

The simulations show that the dynamical correlation length increases toward the mode-coupling crossover temperature and decreases upon further cooling in the beta-relaxation regime. For the three-dimensional system, however, the available simulation time window does not reach the complete alpha-relaxation regime at the lowest temperatures. Consequently, the authors cannot establish whether the observed non-monotonicity continues into that regime.

References

At the lowest temperatures investigated, our simulation time-window prevents us from accessing the full structural $\alpha$-relaxation regime in 3D and we cannot determine whether the non-monotonic behavior persists there.

— Non-Monotonic Dynamical Correlations Across The Glass Crossover  (2608.21219 - Laudicina et al., 21 Aug 2026) in Section 2, Results, subsection “Characterization of Fluctuations of Local Relaxation”