摘要
利用六边形-俯视图的弱非线性稳定性分析和数值仿真,在电场作用下,研究高分子薄膜表面静态模式的发展过程.在无限空间域上,空间和高分子薄膜之间的界面,由薄膜方程给出其随时间的演变,综合考虑了电力的驱动和表面张力的传播.非线性界面的增长包括:波幅方程的增长,以及在准对规律方向上,一维结构的叠合.模式的选择由亚临界不稳定性机理确定,高分子薄膜的相对厚度在其中起着决定性的作用.
The development of stationary patterns on a thin polymer surface subject to an electric field was studied by means of a hexagonal-planform weakly nonlinear stability analysis and numerical simulations.The time evolution of the interface between air and polymer film on the unbounded spatial domain was described by the thin film equation,incorporating the electric driving force and the surface diffusion.The nonlinear interfacial growth includes the amplitude equations and superposition of one-dimensional structures at regular orientations.The pattern selection is driven by the subcritical instability mechanism in which the relative thickness of the polymer film plays a critical role.
出处
《应用数学和力学》
CSCD
北大核心
2011年第8期973-980,共8页
Applied Mathematics and Mechanics
