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To understand how dislocations form ordered structures during the deformationof metals, we perform computer simulation studies of the dynamics andpatterning of screw dislocations in two dimensions. The simulation is carriedout using an idealized atomistic model with anti-plane displacements only; weshow that this system is an analog of the two-dimensional XY rotor model.Simulation studies show that under a constant applied shear strain rate, theflow of dislocations spontaneously coalesces to form narrow dislocation-richchannels separated by wide dislocation-free regions, so that the applied strainis localized into slip bands. We argue that this pattern formation represents aphase separation into ordered and disordered phases associated with the XYmodel, and conjecture that thermodynamic forces drive strain localization.

Dynamics and Patterning of Screw Dislocations in Two Dimensions