Abstract

We study the passage of active and passive granular particles through a bottleneck under gravitational bias. The grains are pharmaceutical capsules with spherocylindrical shapes on a vibrating table. The vibrating ground plate is slightly tilted in order to break the in-plane symmetry and to give particles a motivation to move in a preferential direction. The passage through a narrow gate with openings comparable to the grain length is studied using video imaging. Particle positions and velocities are extracted from the recorded frames. We find striking differences between the behaviour of asymmetric, active capsules and symmetric, passive ones. The active grains show an astonishingly strong dependence of the passage rates on the gate width, while for passive grains, this dependence is linear as expected. The cumulative distributions of delays between subsequent particles passing the outlet, a key parameter in egress studies, also differ substantially between active and passive grains. Tilt angle and excitation parameters have only little influence on the observed dynamic features, they merely rescale time.

Highlights

  • The evacuation of a crowd of people from a room, egress of animals from a corral and discharge of granular material from a silo are, for different reasons, very active, interrelated topics of current research

  • A more general review of the dynamics of systems of active particles was provided by Bechinger et al [21]

  • In order to restrict the data in this paper to the essentials, we present as examples an excitation strength dependence at fixed tilt and orifice (Fig. 11), an orifice size dependence with fixed tilt and excitation (Fig. 12), and a tilt angle dependence at fixed orifice and excitation parameters (Fig. 13)

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Summary

Introduction

The evacuation of a crowd of people from a room, egress of animals from a corral and discharge of granular material from a silo are, for different reasons, very active, interrelated topics of current research. In crowds of humans or animals, an even more severe consequence is a build-up of high pressure near the outlet [28,29,30,31], which may lead to casualties and unresolvable blockages of the door In both biological and granular systems, the prevention of clogs, and a minimization of the total time needed for emptying the room or container (the egress time) and the avoidance of strong pressure fluctuations are of substantial importance. The motivation to pass an outlet is set by a certain stimulus of the individuals, studies of granular material discharging from hoppers and silos typically rely exclusively on gravity forcing the grains toward the exit. We discuss our results in the context of typical exit scenarios from the literature

Particle preparation
Particle excitation and observation
Image processing and analysis
Single particle kinematics
Collective passage through narrow bottlenecks
Discussion and summary
Full Text
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