Force dipole interactions in tubular fluid membranes
Force dipole interactions in tubular fluid membranes
复制标题
管状流体膜中的力偶极子相互作用
DOI：
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发表时间：
2023
期刊：
影响因子：
--
通讯作者：
Rickmoy Samanta
中科院分区：
文献类型：
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作者：
Samyak Jain;Rickmoy Samanta
我们构建了粘性流体流源的力偶极子嵌入在一个圆柱形的流体膜，耦合到外部嵌入流体。我们找到了无限长和薄的管状膜的极限流量的解析表达式。我们利用这个解决方案，制定了一对推动型偶极子沿沿着圆柱表面的平面内动力学。我们发现，一个相互垂直的偶极子对一般一起运动沿着螺旋测地线。由于圆柱形几何形状破坏了膜的平面内旋转对称性，因此沿着圆柱体的轴向（z）和横向（θ）方向的流动存在差异。这反过来又导致偶极子之间的各向异性流体动力学相互作用，并显着不同于平面和球形流体膜。特别地，沿着圆柱体紧致θ θ方向的流动具有局部刚性旋转项（与角坐标无关，但沿着圆柱体轴衰减）。由于流动的这一特征，我们观察到，最初沿轴向方向沿着定位的相互作用偶极子对呈现出沿管状流体膜的紧凑角方向θ沿着的总体“漂移”。我们发现偶极对的漂移随时间线性增加。我们的研究结果是相关的非平衡动力学的电机蛋白在管状膜中产生的性质，以及在体外实验。
We construct viscous fluid flow sourced by a force dipole embedded in a cylindrical fluid membrane, coupled to external embedding fluids. We find analytic expressions for the flow in the limit of infinitely long and thin tubular membranes. We utilize this solution to formulate the in-plane dynamics of a pair of pusher-type dipoles along the cylinder surface. We find that a mutually perpendicular dipole pair generically moves together along helical geodesics. Since the cylindrical geometry breaks the in-plane rotational symmetry of the membrane, there is a difference in flows along the axial (ẑ) and transverse (θ̂) directions of the cylinder. This in turn leads to anisotropic hydrodynamic interaction between the dipoles and is remarkably different from flat and spherical fluid membranes. In particular, the flow along the compact θ̂ direction of the cylinder has a local rigid rotation term (independent of the angular coordinate but decays along the axis of the cylinder). Due to this feature of the flow, we observe that the interacting dipole pair initially situated along the axial direction ẑ exhibits an overall “drift” along the compact angular direction θ̂ of the tubular fluid membrane. We find that the drift for the dipole pair increases linearly with time. Our results are relevant for non-equilibrium dynamics of motor proteins in tubular membranes arising in nature, as well as in vitro experiments.
影响因子：
2.7
作者：
Shi, Wenzheng;Moradi, Moslem;Nazockdast, Ehssan
通讯作者：
Nazockdast, Ehssan