Frustrated phases under three-dimensional confinement simulated by a set of coupled Cahn-Hilliard equations

被引:42
作者
Avalos, Edgar [1 ]
Higuchi, Takeshi [2 ]
Teramoto, Takashi [3 ]
Yabu, Hiroshi [1 ]
Nishiura, Yasumasa [1 ]
机构
[1] Tohoku Univ, Adv Inst Mat Res, WPI Res Ctr, Aoba Ku, 2-1-1 Katahira, Sendai, Miyagi 9808577, Japan
[2] Tohoku Univ, Inst Multidisciplinary Res Adv Mat, Aoba Ku, 2-1-1 Katahira, Sendai, Miyagi 9808577, Japan
[3] Asahikawa Med Univ, Dept Math, 2-1-1-1 Midorigaoka Higashi, Asahikawa, Hokkaido 0788510, Japan
关键词
ABA TRIBLOCK COPOLYMERS; DIBLOCK COPOLYMER; BLOCK-COPOLYMERS; MICROPHASE-SEPARATION; MORPHOLOGY; NANOPARTICLES; MICROSTRUCTURES; TRANSITION; DYNAMICS; DIAGRAM;
D O I
10.1039/c6sm00429f
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
We numerically study a set of coupled Cahn-Hilliard equations as a means to find morphologies of diblock copolymers in three-dimensional spherical confinement. This approach allows us to find a variety of energy minimizers including rings, tennis balls, Janus balls and multipods among several others. Phase diagrams of confined morphologies are presented. We modify the size of the interface between microphases to control the number of holes in multipod morphologies. Comparison to experimental observation by transmission electron microtomography of multipods in polystyrene-polyisoprene diblock copolymers is also presented.
引用
收藏
页码:5905 / 5914
页数:10
相关论文
共 86 条
[1]   Morphology of surfaces in mesoscopic polymers, surfactants, electrons, or reaction-diffusion systems: Methods, simulations, and measurements [J].
Aksimentiev, A ;
Fialkowski, M ;
Holyst, R .
ADVANCES IN CHEMICAL PHYSICS, VOLUME 121, 2002, 121 :141-239
[2]   Pluronic block copolymers: Evolution of drug delivery concept from inert nanocarriers to biological response modifiers [J].
Batrakova, Elena V. ;
Kabanov, Alexander V. .
JOURNAL OF CONTROLLED RELEASE, 2008, 130 (02) :98-106
[3]   Phase-field approach to three-dimensional vesicle dynamics [J].
Biben, T ;
Kassner, K ;
Misbah, C .
PHYSICAL REVIEW E, 2005, 72 (04)
[4]   Self-Assembled Block Copolymer Aggregates: From Micelles to Vesicles and their Biological Applications [J].
Blanazs, Adam ;
Armes, Steven P. ;
Ryan, Anthony J. .
MACROMOLECULAR RAPID COMMUNICATIONS, 2009, 30 (4-5) :267-277
[5]   Toward intelligent nanosize bioreactors: A pH-switchable, channel-equipped, functional polymer nanocontainer [J].
Broz, Pavel ;
Driamov, Sergey ;
Ziegler, Joerg ;
Ben-Haim, Nadav ;
Marsch, Stephan ;
Meier, Wolfgang ;
Hunziker, Patrick .
NANO LETTERS, 2006, 6 (10) :2349-2353
[6]   Microstructures of a Cylinder-Forming Diblock Copolymer under Spherical Confinement [J].
Chen, Peng ;
Liang, Haojun ;
Shi, An-Chang .
MACROMOLECULES, 2008, 41 (22) :8938-8943
[7]   Cylinder-forming triblock terpolymer in nanopores: A Monte Carlo simulation study [J].
Chen, Peng ;
Liang, Haojun .
JOURNAL OF PHYSICAL CHEMISTRY B, 2008, 112 (07) :1918-1925
[8]   Origin of microstructures from confined asymmetric diblock copolymers [J].
Chen, Peng ;
Liang, Haojun ;
Shi, An-Chang .
MACROMOLECULES, 2007, 40 (20) :7329-7335
[9]   ON THE PHASE DIAGRAM FOR MICROPHASE SEPARATION OF DIBLOCK COPOLYMERS: AN APPROACH VIA A NONLOCAL CAHN-HILLIARD FUNCTIONAL [J].
Choksi, Rustum ;
Peletier, Mark A. ;
Williams, J. F. .
SIAM JOURNAL ON APPLIED MATHEMATICS, 2009, 69 (06) :1712-1738
[10]   Skin transport of PEGylated poly(ε-caprolactone) nanoparticles assisted by (2-hydroxypropyl)-β-cyclodextrin [J].
Conte, Claudia ;
Costabile, Gabriella ;
d'Angelo, Ivana ;
Pannico, Marianna ;
Musto, Pellegrino ;
Grassia, Gianluca ;
Ialenti, Armando ;
Tirino, Pasquale ;
Miro, Agnese ;
Ungaro, Francesca ;
Quaglia, Fabiana .
JOURNAL OF COLLOID AND INTERFACE SCIENCE, 2015, 454 :112-120