Hemmerlé J, Picart C, Gergely C, Schaaf P, Stoltz J-F, Voegel J-C, Senger B
Institut National de la Santé et de la Recherche Médicale, Unité 424, UFR d'Odontologie, Université Louis Pasteur, 11, rue Humann, 67085 Strasbourg Cedex, France.
Biorheology. 2003;40(1-3):149-60.
This article deals with the modeling of the detachment of a molecule initially adsorbed on a surface and submitted to an external force whose strength increases with time. By means of an atomic force microscope (AFM), it is possible to measure the force when the molecule separates from the substrate. However, it is known that this force depends to a large extend on the rate at which the pulling force is applied ("Bell-Evans effect"). Two models are described to illustrate this behavior. First, a random walk approach is suggested to reveal the fundamental principle of the escape over a time-dependent energy barrier. Second, a multi bead-and-spring model is proposed to mimic the AFM experiment and numerical simulations, based on Brownian dynamics, are performed.
本文探讨了一个最初吸附在表面上并受到随时间强度增加的外力作用的分子的脱离建模问题。借助原子力显微镜(AFM),可以测量分子与基底分离时的力。然而,众所周知,这个力在很大程度上取决于施加拉力的速率(“贝尔 - 埃文斯效应”)。描述了两种模型来说明这种行为。首先,提出了一种随机游走方法来揭示在随时间变化的能量势垒上逃逸的基本原理。其次,提出了一种多珠 - 弹簧模型来模拟AFM实验,并基于布朗动力学进行了数值模拟。