Energy and stochasticity: the yin and yang of dislocation patterning

Dislocations form patterns that strongly influence mechanical properties. Prevailing theories are dichotomous: either by energy minimization or stochasticity during plastic flow. Using discrete dislocation dynamics simulations, it is shown both and contribute to patterns. Monte Carlo simulations reveal short-range forces between dislocations lead wall-like structures, while long-range control the wall thickness. Perturbation demonstrate persistent, low-density regions when network perturbed over sufficient deformation. These findings suggest a two-stage process where forms regions, which then confined walls through local minimization.