Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences· 2026Q1
Dislocation dynamics on deformable surfaces
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- Q1SCImago
- 2026year
Short summary
A new theoretical model reveals that surface deformations can cause dislocations to self-propel, alter their glide paths, and interact in non-classical ways.
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Key points
- Developed a continuum model (APFC) for dislocation dynamics on deformable, curved surfaces.
- Derived a general kinematic expression for dislocation velocity from amplitude-evolution equations.
- Simulations show surface deformations cause curvature-induced self-propulsion.
- Observed modified glide directions and non-classical defect-defect interactions due to curvature.
AI-generated from the title and abstract; the full text is not read.
Abstract
Abstract We develop a fully coupled theoretical description of dislocation dynamics on deformable crystalline surfaces, using continuum modelling and the amplitude-phase-field crystal (APFC) framework extended to curved geometries. We derive a general kinematic expression for dislocation velocity directly from the complex-amplitude evolution equations, which is also applicable to deformed surfaces through curvature-modified differential operators. From numerical simulations, we show that even small out-of-plane deformations reshape the phenomenology of defect motion through curvature-induced self-propulsion, modified glide directions and non-classical defect–defect interactions. Our results show how surface geometry profoundly influences defect dynamics and establish the surface-APFC model as a powerful framework for predicting and interpreting curvature-defect coupling across a wide range of systems, from stiff but deformable layers to soft matter surfaces and membranes that retain crystalline order.
The authors' abstract, as published at the source. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, 2026 · DOI ↗
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Field: Materials Chemistry
Materials ChemistryMaterials Science