Kinetic theory of jamming in hard-sphere startup flows

作者: R. S. Farr , J. R. Melrose , R. C. Ball

DOI: 10.1103/PHYSREVE.55.7203

关键词: Cluster sizeHard spheresShearing (physics)Fluid bearingStatistical physicsJammingMathematicsCritical volume fractionBrownian motion

摘要: We consider the problem of hard spheres shearing from rest with hydrodynamic lubrication, but no Brownian forces. A theoretical model is presented, in terms aggregation elongated clusters particles, and predicts a jamming transition, where stress average cluster size tend to infinity after finite amount strain. The compared simulation data [Europhys. Lett. 32, 535 (1995)], critical volume fraction above which will occur macroscopic systems.

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