Fluid vesicles with internal nematic order

PHYSICA D-NONLINEAR PHENOMENA

卷:415

Article

Guillen-Gonzalez, Francisco^1,2  Angeles Rodriguez-Bellido, Maria^1,2  Tierra, Giordano³ 

[1] Univ Seville, Fac Matemat, Dept Ecuac Diferenciales & Anal Numer, Campus Reina Mercedes,C Tarfia S-N, Seville 41012, Spain

[2] Univ Seville, Fac Matemat, IMUS, Campus Reina Mercedes,C Tarfia S-N, Seville 41012, Spain

[3] Univ North Texas, Dept Math, Denton, TX 76203 USA

关键词: Diffuse interface/phase field;    Liquid crystals;    Two phase flow;    Vesicle membrane;   

DOI  :  10.1016/j.physd.2020.132768

来源: Elsevier

【 摘 要 】

Models of flows containing vesicles membranes with liquid crystalline phases have been widely studied in recent times due to its connection with biological applications. In this work we propose a new model to represent the interaction between flows and vesicle membranes with internal nematic order and preferential orientation of their molecules in the membrane. In fact, the dynamics of the system is determined by the dissipation of an energy that regulates the competition between different effects, through the kinetic, bending, elastic and anchoring energies. Moreover we introduce a new numerical scheme to approximate the model, that is unconditionally energy stable. Additionally, we present several numerical results in order to show the well behavior of the proposed scheme and the dynamics of this type of vesicle membranes. (c) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free