Chaudhury M K, Goohpattader P S
Department of Chemical Engineering, Lehigh University, Bethlehem, PA 18015, USA.
Eur Phys J E Soft Matter. 2012 Dec;35(12):9808. doi: 10.1140/epje/i2012-12131-9. Epub 2012 Dec 17.
Adhesive forces are capable of deforming a soft elastic object when it comes in contact with a flat rigid substrate. The contact is in stable equilibrium if the total energy of the system arising from the elastic and surface forces exhibits a minimum at a zero or at a slightly negative load. However, as the system is continually unloaded, the energy barrier decreases and it eventually disappears, thus leading to a ballistic separation of the contact. While this type of contact splitting has received wide recognition, what has not been much appreciated with these types of soft adhesion problems is that rupture of a contact can also occur at any finite sub critical load in the presence of a noise. The soft contact problems are unique in that the noise can be athermal, whereas the metastable and stable states of the thermodynamic potential can arise from the competition of the elastic and the interfacial energies of the system. Analysis based on Kramers' theory and simulations based on Langevin dynamics show that the contact rupture dynamics is amenable to an Eyring's form of a force and noise-induced escape of a particle from a potential well that is generic to various types of colloidal and macromolecular processes. These ideas are useful in understanding the results of a recent experiment involving the noise-activated rolling dynamics of a rigid sphere on a surface, where it is pinned by soft micro-fibrillar contacts.
当软弹性物体与平坦刚性基底接触时,粘附力能够使其变形。如果由弹性力和表面力产生的系统总能量在零负载或略负负载时呈现最小值,则接触处于稳定平衡状态。然而,随着系统不断卸载,能垒降低并最终消失,从而导致接触的弹道式分离。虽然这种类型的接触分离已得到广泛认可,但对于这类软粘附问题,人们尚未充分认识到的是,在存在噪声的情况下,接触也可能在任何有限的亚临界负载下发生破裂。软接触问题的独特之处在于,噪声可以是无热噪声,而热力学势的亚稳态和稳态可能源于系统弹性能和界面能的竞争。基于克莱默斯理论的分析以及基于朗之万动力学的模拟表明,接触破裂动力学符合艾林形式的力和噪声诱导粒子从势阱中逃逸的情况,这在各种类型的胶体和大分子过程中是普遍存在的。这些观点有助于理解最近一项涉及刚性球体在表面上的噪声激活滚动动力学的实验结果,在该实验中,球体通过软微纤维接触被固定。