Competitive Geometric Evolution of Amphiphilic Interfaces
Competitive Geometric Evolution of Amphiphilic Interfaces
复制标题
两亲界面的竞争性几何演化
DOI：
10.1137/130941432
复制
发表时间：
2015
期刊：
影响因子：
--
通讯作者：
K. Promislow
中科院分区：
文献类型：
--
作者：
Shibin Dai;K. Promislow
我们推导出曲率驱动流的闭环孔结构中出现的准稳态在$H^{-1}$梯度流的弱功能化的Cahn-Hilliard自由能模型的两亲性混合物。我们将这一结果扩展到双层界面和闭环孔的不相交集合的竞争性演化的尖锐界面减少。特别是，对于球形双层和圆形闭孔的混合物，我们明确确定两个制度：一个是球形双层熄灭和圆形孔到达一个共同的半径，和一个互补的制度，其中不同半径的球形双层稳定共存的共同半径，闭环，圆形孔。
We derive the curvature driven flow of closed-loop pore structures which arise in quasi-stationary states in the $H^{-1}$ gradient flow of the weakly functionalized Cahn--Hilliard free energy which models amphiphilic mixtures. We extend this result to a sharp-interface reduction for the competitive evolution of disjoint collections of bilayer interfaces and closed-loop pores. In particular, for a mixture of spherical bilayers and circular closed pores we explicitly identify two regimes: one in which spherical bilayers extinguish and the circular pores arrive at a common radius, and a complimentary regime in which spherical bilayers of differing radii stably coexist with common-radius, closed-loop, circular pores.
DOI：
10.1103/physreve.79.031926
发表时间：
2009-03
期刊：
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子：
--
作者：
Lowengrub JS;Rätz A;Voigt A
通讯作者：
Voigt A