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A phase field method for simulating morphological evolution of vesicles in electric fields

机译:模拟电场中囊泡形态演化的相场方法

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摘要

A phase field method is developed to investigate the morphological evolution of a vesicle in an electric field, taking into account coupled mechanical and electric effects such as bending, osmotic pressure, surface tension, flexoelectricity, and dielectricity of the membrane. The energy of the system is formulated in terms of a continuous phase field variable and the electric potential. The governing equations of the phase field and the electric field are solved using the Galerkin weighted residual approach. The validation and robustness of the algorithm are verified by direct comparisons of the obtained numerical solutions with relevant experimental results. The morphological evolution of an axisymmetric vesicle under an electric field is studied in detail. The results demonstrate that the present method can simulate complex morphological evolutions of vesicles under coupled mechanical-electrical fields.
机译:考虑到耦合的机械和电效应,例如弯曲,渗透压,表面张力,柔电性和膜的介电性,开发了一种相场方法来研究电场中囊泡的形态演变。系统的能量由连续相场变量和电势表示。使用Galerkin加权残差法求解相场和电场的控制方程。通过将所得数值解与相关实验结果进行直接比较,验证了算法的有效性和鲁棒性。详细研究了电场作用下轴对称囊泡的形态演化。结果表明,该方法可以模拟耦合电场下囊泡的复杂形态演化。

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