Activated solids: spontaneous deformations, non-affine fluctuations, softening, and failure
Abstract
non-affine fluctuations that quantify local rearrangements relative to global strain. Using scaling analysis and numerical simulations, we show that non-affinity in crystalline solids grows quadratically with active speed and increases linearly with persistence time before saturating. Spatial correlations reveal an activity-dependent growing correlation length, while relaxation dynamics are governed by the active persistence time. With increasing activity, the distributions of local non-affinity broaden, become more skewed, and develop heavy tails, eventually forming a secondary maximum that signals coexisting small and large non-affinities; this heterogeneity precedes defect formation and two-step melting from solid to hexatic and ultimately to fluid. Finally, we demonstrate that spatially patterned activation provides a simple route to locally induce non-affinity and mechanical softening. Our predictions are experimentally testable and suggest a pathway to tunable mechanics in adaptive metamaterials, with implications for mechanical regulation in biological systems.
Fields of Study & Subjects
Advanced Materials and Mechanics
Calcium Carbonate Crystallization and Inhibition
Micro and Nano Robotics
Publication details
- Journal / source
- Soft Matter
- Volume
- 22
- Issue
- 15
- Pages
- 2893–2906
- Publication date
- 1 January 2026
- Language
- EN