An Overview of Network Bifurcations in the Functionalized Cahn-Hilliard Free Energy

被引:9
作者
Kraitzman, Noa [1 ]
Promislow, Keith [1 ]
机构
[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA
来源
MATHEMATICS OF ENERGY AND CLIMATE CHANGE | 2015年 / 2卷
关键词
BILAYER INTERFACES; COPOLYMER; MEMBRANES; EQUATION; WATER;
D O I
10.1007/978-3-319-16121-1_8
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
The functionalized Cahn-Hilliard (FCH) free energy models interfacial energy in amphiphilic phase-separated mixtures. Its minimizers and quasi-minimizers encompass rich classes of network morphologies with detailed inner layers incorporating bilayers, pore, pearled pore, and micelle type structures. We present an overview of the stability of the network morphologies as well as the competitive evolution of bilayer and pore morphologies under a gradient flow in three space-dimensions.
引用
收藏
页码:191 / 214
页数:24
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