Ledesma-Alonso R, Tordjeman P, Legendre D
Université de Toulouse, INPT-CNRS, Institut de Mécanique des Fluides de Toulouse (IMFT), 1 Allée du Professeur Camille Soula, 31400 Toulouse, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jun;85(6 Pt 1):061602. doi: 10.1103/PhysRevE.85.061602. Epub 2012 Jun 7.
The interaction between a nanoprobe and a liquid surface is studied. The surface deformation depends on physical and geometric parameters, which are depicted by employing three dimensionless parameters: Bond number B_{o}, modified Hamaker number H_{a}, and dimensionless separation distance D. The evolution of the deformation is described by a strongly nonlinear partial differential equation, which is solved by means of numerical methods. The dynamic analysis of the liquid profile points out the existence of a critical distance D_{min}, below which the irreversible wetting process of the nanoprobe happens. For D ≥ D_{min}, the numerical results show the existence of two deformation profiles, one stable and another unstable from the energetic point of view. Different deformation length-scales, characterizing the stable liquid equilibrium interface, define the near- and the far-field deformation zones, where self-similar profiles are found. Finally, our results allow us to provide simple relationships between the parameters, which leads to determine the optimal conditions when performing atomic force microscope measurements over liquids.
研究了纳米探针与液体表面之间的相互作用。表面变形取决于物理和几何参数，通过使用三个无量纲参数来描述：邦德数(B_{o})、修正哈梅克数(H_{a})和无量纲分离距离(D)。变形的演化由一个强非线性偏微分方程描述，通过数值方法求解该方程。对液体轮廓的动态分析指出存在一个临界距离(D_{min})，低于该距离时纳米探针会发生不可逆的润湿过程。对于(D \geq D_{min})，数值结果表明从能量角度存在两种变形轮廓，一种稳定，另一种不稳定。表征稳定液体平衡界面的不同变形长度尺度定义了近场和远场变形区域，在这些区域中发现了自相似轮廓。最后，我们的结果使我们能够提供参数之间的简单关系，这有助于确定在液体上进行原子力显微镜测量时的最佳条件。
