波动流体膜间的挠曲电性和熵力
Flexoelectricity and the Entropic Force between Fluctuating Fluid Membranes
摘要：
生物膜在生理温度下经历明显的热波动。当两个膜彼此接近时，它们阻碍另一个膜的平面外波动。这种阻碍导致膜之间的熵排斥力，其与由于其他来源的吸引力和排斥力相互作用，影响一系列生物功能：细胞粘附、膜融合、自组装、结合-解结合转变等。在这项工作中，我们认识到的事实，即生物膜不是纯粹的机械实体，由于挠曲电现象，表现出变形和电极化的强度之间的耦合。随之而来的耦合力学-静电学-统计力学问题是分析上难以解决的。我们使用变分微扰法分析，在封闭的形式，两个波动膜之间的熵力的贡献，并讨论其可能的物理意义。我们发现，flexoelectricity导致一个校正，开关从一个增强的吸引力，在密切的膜分离和增强的排斥力时，膜进一步分开。
英文摘要：
Biological membranes undergo noticeable thermal fluctuations at physiological temperatures. When two membranes approach each other, they hinder the out of plane fluctuations of the other. This hindrance leads to an entropic repulsive force between membranes which, in an interplay with attractive and repulsive forces due to other sources, impacts a range of biological functions: cell adhesion, membrane fusion, self-assembly, binding-unbinding transition among others. In this work, we take cognizance of the fact that biological membranes are not purely mechanical entities and, due to the phenomenon of flexoelectricity, exhibit a coupling between deformation and electric polarization. The ensuing coupled mechanics-electrostatics-statistical mechanics problem is analytically intractable. We use a variational perturbation method to analyze, in closed-form, the contribution of flexoelectricity to the entropic force between two fluctuating membranes and discuss its possible physical implications. We find that flexoelectricity leads to a correction that switches from an enhanced attraction at close membrane separations and an enhanced repulsion when the membranes are further apart.
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