ArticleScientific reports2016
Effective Topological Charge Cancelation Mechanism.
Article in Scientific reports, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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Who cites it
8 citing papers in PubMed.
- Biaxial Structures of Localized Deformations and Line-like Distortions in Effectively 2D Nematic Films.Nanomaterials (Basel, Switzerland) · 2024Article
- Coupling of nematic in-plane orientational ordering and equilibrium shapes of closed flexible nematic shells.Scientific reports · 2023Article
- Review
- Cationic vacancies as defects in honeycomb lattices with modular symmetries.Scientific reports · 2022Article
- On the Role of Electrostatic Repulsion in Topological Defect-Driven Membrane Fission.Membranes · 2021Article
- On the Role of Curved Membrane Nanodomains, and Passive and Active Skeleton Forces in the Determination of Cell Shape and Membrane Budding.International journal of molecular sciences · 2021Article
- Minimizing isotropic and deviatoric membrane energy - An unifying formation mechanism of different cellular membrane nanovesicle types.PloS one · 2020Article
- Normal red blood cells' shape stabilized by membrane's in-plane ordering.Scientific reports · 2019Article
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Authors and funding
4 authors.
Funding
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Abstract
Topological defects (TDs) appear almost unavoidably in continuous symmetry breaking phase transitions. The topological origin makes their key features independent of systems' microscopic details; therefore TDs display many universalities. Because of their strong impact on numerous material properties and their significant role in several technological applications it is of strong interest to find simple and robust mechanisms controlling the positioning and local number of TDs. We present a numerical study of TDs within effectively two dimensional closed soft films exhibiting in-plane orientational ordering. Popular examples of such class of systems are liquid crystalline shells and various biological membranes. We introduce the Effective Topological Charge Cancellation mechanism controlling localised positional assembling tendency of TDs and the formation of pairs {defect, antidefect} on curved surfaces and/or presence of relevant "impurities" (e.g. nanoparticles). For this purpose, we define an effective topological charge Δmeff consisting of real, virtual and smeared curvature topological charges within a surface patch Δς identified by the typical spatially averaged local Gaussian curvature K. We demonstrate a strong tendency enforcing Δmeff → 0 on surfaces composed of Δς exhibiting significantly different values of spatially averaged K. For Δmeff ≠ 0 we estimate a critical depinning threshold to form pairs {defect, antidefect} using the electrostatic analogy.
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Registered trials
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