Competition and complexity in amphiphilic polymer morphology

DOI10.1016/j.physd.2019.06.010zbMath1453.82096arXiv1711.00419OpenAlexW2963232142WikidataQ127449440 ScholiaQ127449440MaRDI QIDQ2223397

Noa Kraitzman, Andrew J. Christlieb, Keith Promislow

Publication date: 28 January 2021

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.00419

zbMATH Keywords

network formationmultiscale analysisfunctionalized Cahn-Hilliard energygeometric evolutionamphiphilic interfacecurvature driven flow

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Simulation of dynamical systems (37M05)

Related Items (8)

Generation of tubular and membranous shape textures with curvature functionals ⋮ Geometric Evolution of Bilayers under the Degenerate Functionalized Cahn–Hilliard Equation ⋮ Pearling Bifurcations in the Strong Functionalized Cahn--Hilliard Free Energy ⋮ Undulated bilayer interfaces in the planar functionalized Cahn-Hilliard equation ⋮ Curve lengthening via regularized motion against curvature from the strong FCH flow ⋮ Robust stability of multicomponent membranes: the role of glycolipids ⋮ Codimension one minimizers of highly amphiphilic mixtures ⋮ Manifolds of amphiphilic bilayers: stability up to the boundary

Cites Work

• Curvature driven flow of bi-layer interfaces
• Existence of pearled patterns in the planar functionalized Cahn-Hilliard equation
• Spectra of functionalized operators arising from hypersurfaces
• Existence, bifurcation, and geometric evolution of quasi-bilayers in the multicomponent functionalized Cahn-Hilliard equation
• Front migration in the nonlinear Cahn-Hilliard equation
• PEM Fuel Cells: A Mathematical Overview
• Periodic traveling waves and locating oscillating patterns in multidimensional domains
• Pearling Bifurcations in the Strong Functionalized Cahn--Hilliard Free Energy
• Meander and Pearling of Single-Curvature Bilayer Interfaces in the Functionalized Cahn--Hilliard Equation
• Competitive Geometric Evolution of Amphiphilic Interfaces
• Geometric evolution of bilayers under the functionalized Cahn–Hilliard equation
• Mullins-Sekerka motion of small droplets on a fixed boundary

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