Abstract

Jamming describes a transition from a flowing or liquid state to a solid or rigid state in a loose assembly of particles such as grains or bubbles. In contrast, clogging describes the ceasing of the flow of particulate matter through a bottleneck. It is not clear how to distinguish jamming from clogging, nor is it known whether they are distinct phenomena or fundamentally the same. We examine an assembly of disks moving through a random obstacle array and identify a transition from clogging to jamming behavior as the disk density increases. The clogging transition has characteristics of an absorbing phase transition, with the disks evolving into a heterogeneous phase-separated clogged state after a critical diverging transient time. In contrast, jamming is a rapid process in which the disks form a homogeneous motionless packing, with a rigidity length scale that diverges as the jamming density is approached.

Highlights

  • The concept of jamming is used in loose assemblies of particles such as grains or bubbles to describe the transition from an flowing fluidlike state to a rigid jammed or solidlike state[1,2,3,4]

  • Clogging in the presence of random obstacles has signatures of an absorbing transition falling in a directed percolation universality class, and its dynamics are controlled by the average spacing of the obstacles

  • In the jamming that occurs for higher φtot, the dynamics are controlled by the growing correlation length associated with φj, the jamming density of an obstacle-free system

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Summary

Introduction

The concept of jamming is used in loose assemblies of particles such as grains or bubbles to describe the transition from an flowing fluidlike state to a rigid jammed or solidlike state[1,2,3,4]. We show for frictionless disks moving through a random obstacle array that jamming and clogging are distinct phenomena and that a transition from clogging to jamming occurs as a function of increasing disk density. The obstacle density φcj at densities, φcj for the jammed state and φcc for the which flow ceases drops to lower obstacle densities with increasing disk density, and the system forms a homogeneous jammed state when the rigidity correlation length associated with φj becomes larger than the average distance between obstacles. During clogging the system organizes over time into a heterogeneous or phase-separated state, and the transient time diverges at a critical obstacle density φcc that is independent of the disk density. The phase-separated state consists of regions with a density near φj coexisting with low density regions

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