Spatially Localized Structures in Diblock Copolymer Mixtures

DOI10.1137/080743913zbMath1214.82134OpenAlexW2105944699MaRDI QIDQ3068624

K. B. Glasner

Publication date: 17 January 2011

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080743913

zbMATH Keywords

self-replicationdensity functional theorymicellediblock copolymer

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Interacting particle systems in time-dependent statistical mechanics (82C22) Statistical mechanics of polymers (82D60)

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On global minimizers for a variational problem with long-range interactions ⋮ Spatially Localized Self-Assembly Driven by Electrically Charged Phase Separation ⋮ Evolution and Competition of Block Copolymer Nanoparticles ⋮ Characterising the disordered state of block copolymers: Bifurcations of localised states and self-replication dynamics ⋮ Multilayered Equilibria in a Density Functional Model of Copolymer-solvent Mixtures ⋮ Dimension reduction and optimality of the uniform state in a phase-field-crystal model involving a higher-order functional ⋮ Sufficient conditions for global minimality of metastable states in a class of non-convex functionals: a simple approach via quadratic lower bounds

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