Morphological characterization of the diblock copolymer problem with topological computation

DOI10.1007/s13160-010-0014-9zbMath1204.82044OpenAlexW2159603314MaRDI QIDQ623731

Takashi Teramoto, Yasumasa Nishiura

Publication date: 8 February 2011

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2115/44297

zbMATH Keywords

microphase separationdouble gyroidthe Betti number

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Statistical mechanics of polymers (82D60) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (11)

Modelling and computation of liquid crystals ⋮ On global minimizers for a variational problem with long-range interactions ⋮ Allowing cycles in discrete Morse theory ⋮ Equilibrium validation for triblock copolymers via inverse norm bounds for fourth-order elliptic operators ⋮ Numerical methods for a system of coupled Cahn-Hilliard equations ⋮ Validation of the bifurcation diagram in the 2D Ohta–Kawasaki problem ⋮ Lamellar phase solutions for diblock copolymers with nonlocal diffusions ⋮ A Reduced Study for Nematic Equilibria on Two-Dimensional Polygons ⋮ Homology algorithm based on acyclic subspace ⋮ Fast, Simple and Separable Computation of Betti Numbers on Three-Dimensional Cubical Complexes ⋮ Solution landscape of a reduced Landau–de Gennes model on a hexagon

Cites Work

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• Periodic phase separation: the periodic Cahn-Hilliard and isoperimetric problems
• An application of the modular function in nonlocal variational problem
• Some mathematical aspects of the micro-phase separation in diblock copolymers
• Ring pattern solutions of a free boundary problem in diblock copolymer morphology
• On the derivation of a density functional theory for microphase separation of diblock copolymers
• On the Multiplicity of Solutions of Two Nonlocal Variational Problems

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