Spatial ordering of nano-dislocation loops in ion-irradiated materials
S.L. Dudarev, K. Arakawa, X. Yi, Z. Yao, M.L. Jenkins, M.R. Gilbert,, P.M. Derlet

TL;DR
This paper explains how nano-dislocation loops in ion-irradiated metals spontaneously form ordered patterns due to elastic interactions and Brownian motion, once a critical density is reached.
Contribution
It demonstrates that ordered dislocation loop structures can emerge spontaneously from elastic interactions and Brownian motion in irradiated metals.
Findings
Ordered loop patterns form above a critical density.
Elastic interactions bias the Brownian motion of loops.
Spontaneous pattern formation occurs due to local density thresholds.
Abstract
Defect microstructures formed in ion-irradiated metals, for example iron or tungsten, often exhibit patterns of spatially ordered nano-scale dislocation loops. We show that such ordered dislocation loop structures may form spontaneously as a result of Brownian motion of loops, biased by the angular-dependent elastic interaction between the loops. Patterns of spatially ordered loops form once the local density of loops produced by ion irradiation exceeds a critical threshold value.
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