标题： 受限膜的粘附动力学 显示英文标题

标题： Adhesion dynamics of confined membranes

摘要： 我们报告了受限脂质膜动力学的建模。 我们在润滑极限下推导出一个薄膜模型，该模型描述了夹在两个粘附壁之间的不可拉伸液体膜，具有弯曲刚性。 所得方程与Swift-Hohenberg模型有相似之处。 然而，不可拉伸性通过时间依赖的非局部张力来实现。 根据系统中可用的过量膜面积，从模型的数值解中发现了三种不同的动力学区域，分别称为A、B和C。 在区域A中，具有较小过量面积的膜形成平坦的粘附域并冻结。 这种冻结通过曲率驱动的域壁运动的有效模型进行解释。 非局部膜张力趋于负值，对应于Swift-Hohenberg方程中平坦域壁的线性稳定性阈值。 在区域B中，具有中间过量面积的膜表现出无限粗化的现象，同时存在平坦的粘附域和褶皱域。 张力趋于Swift-Hohenberg方程中平坦域壁的非线性稳定性阈值。 在区域B中，褶皱相覆盖系统的比例随过量面积线性增加。 在区域C中，具有较大过量面积的膜完全被冻结的褶皱迷宫图案覆盖。 随着过量面积的增加，张力增加，褶皱的波长减小。 对于较大的膜面积，存在一个过渡到一种区域，在该区域中褶皱的极值与壁接触。 在所有区域中，在初始瞬态之后，形成稳健的局部结构，导致粘附域数量的精确守恒。 显示英文摘要

摘要： We report on the modeling of the dynamics of confined lipid membranes. We derive a thin film model in the lubrication limit which describes an inextensible liquid membrane with bending rigidity confined between two adhesive walls. The resulting equations share similarities with the Swift-Hohenberg model. However, inextensibility is enforced by a time-dependent nonlocal tension. Depending on the excess membrane area available in the system, three different dynamical regimes, denoted as A, B and C, are found from the numerical solution of the model. In regime A, membranes with small excess area form flat adhesion domains and freeze. Such freezing is interpreted by means of an effective model for curvature-driven domain wall motion. The nonlocal membrane tension tends to a negative value corresponding to the linear stability threshold of flat domain walls in the Swift-Hohenberg equation. In regime B, membranes with intermediate excess areas exhibit endless coarsening with coexistence of flat adhesion domains and wrinkle domains. The tension tends to the nonlinear stability threshold of flat domain walls in the Swift-Hohenberg equation. The fraction of the system covered by the wrinkle phase increases linearly with the excess area in regime B. In regime C, membranes with large excess area are completely covered by a frozen labyrinthine pattern of wrinkles. As the excess area is increased, the tension increases and the wavelength of the wrinkles decreases. For large membrane area, there is a crossover to a regime where the extrema of the wrinkles are in contact with the walls. In all regimes after an initial transient, robust localised structures form, leading to an exact conservation of the number of adhesion domains.