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    Evolution and Competition of Block Copolymer Nanoparticles

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    18m1192809.pdf
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    Author
    Glasner, Karl
    Affiliation
    Univ Arizona, Dept Math
    Issue Date
    2019
    Keywords
    copolymer
    dynamics
    interaction
    
    Metadata
    Show full item record
    Publisher
    SIAM PUBLICATIONS
    Citation
    Glasner, K. (2019). Evolution and Competition of Block Copolymer Nanoparticles. SIAM Journal on Applied Mathematics, 79(1), 28-54.
    Journal
    SIAM JOURNAL ON APPLIED MATHEMATICS
    Rights
    © 2019, Society for Industrial and Applied Mathematics.
    Collection Information
    This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.
    Abstract
    Nanoparticle structures formed in a mixture of diblock copolymer and solvent are investigated using a three-phase density functional model and its sharp interface approximation. A wide variety of equilibria described by localized domain patterns are quantified both numerically and analytically. Competition among multiple particles is shown to occur through mass diffusion driven by differences in chemical potential, which may or may not lead to Ostwald ripening behavior. Late stage rigid body dynamics is shown to result from interaction through dipolar fields, leading to orientational alignment and long-range attraction.
    ISSN
    0036-1399
    1095-712X
    DOI
    10.1137/18M1192809
    Version
    Final published version
    Sponsors
    NSF [DMS-1514689]
    Additional Links
    https://epubs.siam.org/doi/10.1137/18M1192809
    ae974a485f413a2113503eed53cd6c53
    10.1137/18M1192809
    Scopus Count
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    UA Faculty Publications

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