Lecturer: Stas Burov, Physics department, Bar-Ilan University, Israel
 Abstract:
 Understanding transport in systems with strong, scale-free disorder is essential for explaining anomalous diffusion in amorphous materials, glasses, and living cells. In this talk, I will present how the interplay between quenched disorder and geometrical constraints generates unconventional single-particle mobility behavior. Focusing on a two-dimensional channel with width w, we demonstrate that reducing w—introducing tighter constraints—surprisingly enhances mobility under external driving forces. This counterintuitive effect is analyzed in the low-temperature regime, where localization times follow a scale-free distribution. Employing the double-subordination framework within the quenched trap model, we derive an explicit response function that reveals the underlying mechanisms of mobility enhancement. These findings challenge traditional transport paradigms, offering fresh insights into dynamics in constrained, disordered systems.