Mark O. Robbins — Page 4

arXiv1999

Jamming, Friction and Unsteady Rheology

The connection between friction and jamming in granular media, molecular glasses, and complex fluids is explored. The paper first reviews the way friction is measured, the types of results that are observed, and what is known about the geometry of contacts between macroscopic surfaces. Then simple models for the origin of static friction are described. These are unable to explain the universal observation of static friction between macroscopic objects. The effects of surface roughness and chemical heterogeneity are discussed, and shown to yield exponentially weak static friction in our three dimensional world. In contrast, jamming of the "third bodies" that are present between most surfaces is shown to produce static friction that is consistent with macroscopic measurements. Experimental and simulation studies of jamming of molecularly thin fluid films are described and compared to studies of bulk glass transitions. The paper concludes by considering the unsteady stick-slip motion that often arises when systems become unjammed by sufficiently large stress. Different types of stick-slip motion are identified, and some of its origins are explored.

cond-mat.soft↗

arXiv1995

Structure and shear response in nanometer thick films

Simulations of the structure and dynamics of fluid films confined to a thickness of a few molecular diameters are described. Confining walls introduce layering and in-plane order in the adjacent fluid. The latter is essential to transfer of shear stress. As the film thickness is decreased, by increasing pressure or decreasing the number of molecular layers, the entire film may undergo a phase transition. Spherical molecules tend to crystallize, while short chain molecules enter a glassy state with strong local orientational and translational order. These phase transitions lead to dramatic changes in the response of the film to imposed shear velocities $v$. Spherical molecules show an abrupt transition from Newtonian response to a yield stress as they crystallize. Chain molecules exhibit a continuously growing regime of non-Newtonian behavior where the shear viscosity drops as $v^{-2/3}$ at constant normal load. The same power law is found for a wide range of parameters, and extends to lower and lower velocities as a glass transition is approached. Once in the glassy state, chain molecules exhibit a finite yield stress. Shear may occur either within the film or at the film/wall interface. Interfacial shear dominates when films become glassy and when the film viscosity is increased by increasing the chain length.

mtrl-th↗