Author
Glasner, KarlAffiliation
Univ Arizona, Dept MathIssue Date
2019
Metadata
Show full item recordPublisher
SIAM PUBLICATIONSCitation
Glasner, K. (2019). Evolution and Competition of Block Copolymer Nanoparticles. SIAM Journal on Applied Mathematics, 79(1), 28-54.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
0036-13991095-712X
Version
Final published versionSponsors
NSF [DMS-1514689]Additional Links
https://epubs.siam.org/doi/10.1137/18M1192809ae974a485f413a2113503eed53cd6c53
10.1137/18M1192809
