State-dependent friction for a moving liquid contact line over rough solid surfaces

Solid friction between two rough surfaces is often observed to increase logarithmically over time due to contact creeping. An intriguing question is whether a similar aging effect occurs in contact line (CL) friction over rough substrates. Here, we report a systematic experimental study of CL friction using a hanging-fiber atomic force microscope (AFM) to measure the frictional force as a liquid CL moves across a fiber surface with different coatings under a well-controlled time protocol. State- (or time-)dependent CL friction is observed for the fiber surface with different textures in both the advancing and receding directions. The experimental findings are explained by a phenomenological model that links mesoscale CL friction to the microscopic relaxation of metastable air bubbles or liquid droplets trapped in the interstices of a rough surface. This model offers a general aging mechanism relevant to a wide range of liquid-solid interfaces.