Passive defect driven morphogenesis in nematic membranes DOI Creative Commons
Daniel J. Pearce,

C. Thibault,

Quentin Chaboche

et al.

arXiv (Cornell University), Journal Year: 2023, Volume and Issue: unknown

Published: Jan. 1, 2023

Topological defects are ubiquitous on surfaces with orientational order fields. Here, we study equilibrium states generated by the feedback between geometry and nematic fluid membranes an integer topological defect. When Frank elastic constants associated field dominate, spontaneously deform toward conical shape featuring aster defect at its apex. In case of vanishing tension this is a solution to normal force balance. We show that stability surface depends balance parameters phase boundary constraints introduced, observe three distinct modes deformation. These deformation take advantage way in which splay, twist bend distortions director can be exchanged curved surface. discuss how these distinguished their response cost existence inverted solutions. Our findings fusion +1/2 pairs reduce total energy deformable surfaces. Finally, argue results relevant for biological systems.

Language: Английский

Passive Defect Driven Morphogenesis in Nematic Membranes DOI
Daniel J. Pearce,

C. Thibault,

Quentin Chaboche

et al.

Physical Review Letters, Journal Year: 2025, Volume and Issue: 134(1)

Published: Jan. 7, 2025

Orientational order is a common feature of many biological and synthetic materials. Topological defects are discontinuities in this that often coupled to geometric features the Here, we study equilibrium shapes fluid membranes featuring +1 topological defect as model for morphogenesis. We show, through simulation analytic calculation, membrane can spontaneously deform toward conical shape with at its apex. show relative stability deformation controlled by balance elastic parameters. When boundary constraints introduced, observe three distinct modes deformation. These take advantage way which splay, twist, bend distortions director field be exchanged on curved surface. Finally, demonstrate inverted solutions. Our findings mechanism passive driven morphogenesis well fusion +1/2 pairs deformable surfaces.

Language: Английский

Citations

2
Topological transport of vorticity on curved magnetic membranes DOI
Chau Dao, Ji Zou, Eric Kleinherbers

et al.

Physical review. B./Physical review. B, Journal Year: 2025, Volume and Issue: 111(10)

Published: March 3, 2025

Language: Английский

Citations

1
Integer Defects, Flow Localization, and Bistability on Curved Active Surfaces DOI
Rushikesh Shinde, Raphaël Voituriez, Andrew Callan-Jones

et al.

Physical Review Letters, Journal Year: 2025, Volume and Issue: 134(17)

Published: April 30, 2025

Biological surfaces, such as developing epithelial tissues, exhibit in-plane polar or nematic order and can be strongly curved. Recently, integer (+1) topological defects have been identified morphogenetic hotspots in living systems. Yet, while +1 active matter on flat surfaces are well understood, the general principles governing curved remain unknown. Here, we study dynamics of an extensile contractile fluid two types morphogenetically relevant substrates: (i) a cylinder terminated by spherical cap, (ii) bump otherwise surface. Because Frank elastic energy surface generically induces coupling to deviatoric curvature, D (difference between squared principal curvatures), defect is induced both types. We find that leads surprising effects including localization orientation gradients flows, particularly for contractility, hysteresis bistability quiescent flowing states.

Language: Английский

Citations

0
Many-defect solutions in planar nematics: interactions, spiral textures and boundary conditions DOI Creative Commons
Simon Čopar, Žiga Kos

Soft Matter, Journal Year: 2024, Volume and Issue: 20(35), P. 6894 - 6906

Published: Jan. 1, 2024

Combining topological and logarithmic singularities in nematic textures allows for control over defects shape orientation. Prescribed defect orientation leads to non-central interdefect forces changes annihilation trajectories.

Language: Английский

Citations

2
Passive defect driven morphogenesis in nematic membranes DOI Creative Commons
Daniel J. Pearce,

C. Thibault,

Quentin Chaboche

et al.

arXiv (Cornell University), Journal Year: 2023, Volume and Issue: unknown

Published: Jan. 1, 2023

Topological defects are ubiquitous on surfaces with orientational order fields. Here, we study equilibrium states generated by the feedback between geometry and nematic fluid membranes an integer topological defect. When Frank elastic constants associated field dominate, spontaneously deform toward conical shape featuring aster defect at its apex. In case of vanishing tension this is a solution to normal force balance. We show that stability surface depends balance parameters phase boundary constraints introduced, observe three distinct modes deformation. These deformation take advantage way in which splay, twist bend distortions director can be exchanged curved surface. discuss how these distinguished their response cost existence inverted solutions. Our findings fusion +1/2 pairs reduce total energy deformable surfaces. Finally, argue results relevant for biological systems.

Language: Английский

Citations

0