Statics and diffusive dynamics of surfaces driven by <i>p</i>-atic topological defects

Vafa, Farzan; Mahadevan, L.

doi:10.1039/d3sm00257h

Soft Matter

2023

DOI: 10.1039/d3sm00257h

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Statics and diffusive dynamics of surfaces driven by p-atic topological defects

Farzan Vafa¹,

L. Mahadevan²

Abstract: Inspired by epithelial morphogenesis, we consider a minimal model for the shaping of a surface driven by p-atic topological defects. We show that a positive (negative) defect can dynamically generate...

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Cited by 2 publications

References 41 publications

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Active topological defect absorption by a curvature singularity

Vafa

Nelson

Doostmohammadi³

2023

J. Phys.: Condens. Matter

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We leverage the Born-Oppenheimer approximation to present a general description of topological defects dynamics in $p$-atic materials on curved surfaces. Focusing on the case of an active nematic, we find that activity induces a geometric contribution to the motility of the $+1/2$ defect. Moreover, in the case of a cone, the simplest example of a geometry with curvature singularity, we find that the motility depends on the deficit angle of the cone and changes sign when the deficit angle is bigger than $\pi$, leading to the change in active behavior from contractile (extensile) to extensile (contractile) behavior. Using our analytical framework, we then identify for positively charged defects the basin of attraction to the cone apex and present closed-form predictions for defect trajectories near the apex. The analytical results are quantitatively corroborated against full numerical simulations, with excellent agreement when the capture radius is small compared to the cone size.

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Active topological defect absorption by a curvature singularity

Vafa

Nelson

Doostmohammadi³

2023

J. Phys.: Condens. Matter

Self Cite

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Periodic orbits, pair nucleation, and unbinding of active nematic defects on cones

Vafa,

Nelson,

Doostmohammadi

2024

Phys. Rev. E

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Statics and diffusive dynamics of surfaces driven by p-atic topological defects

Abstract: Inspired by epithelial morphogenesis, we consider a minimal model for the shaping of a surface driven by p-atic topological defects. We show that a positive (negative) defect can dynamically generate...

Cited by 2 publications

References 41 publications

Active topological defect absorption by a curvature singularity

Active topological defect absorption by a curvature singularity

Periodic orbits, pair nucleation, and unbinding of active nematic defects on cones

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