Flow and clogging of a sheep herd passing through a bottleneck
Keywords: 
Flow
Narrow passage
Crowds
Statistical mechanics
Sheeps
Flock passing
Granular physics
Clogs
Issue Date: 
2015
ISSN: 
1539-3755
Citation: 
Garcimartín A, Pastor JM, Ferrer LM, Ramos JJ, Martín-Gómez C, Zuriguel I. Flow and clogging of a sheep herd passing through a bottleneck. Phys. Rev. E. 2015;91:022808.
Abstract
We present an experimental study of a flock passing through a narrow door. Video monitoring of daily routines in a farm has enabled us to collect a sizable amount of data. By measuring the time lapse between the passage of consecutive animals, some features of the flow regime can be assessed. A quantitative definition of clogging is demonstrated based on the passage time statistics. These display broad tails, which can be fitted by power laws with a relatively large exponent. On the other hand, the distribution of burst sizes robustly evidences exponential behavior. Finally, borrowing concepts from granular physics and statistical mechanics, we evaluate the effect of increasing the door size and the performance of an obstacle placed in front of it. The success of these techniques opens new possibilities regarding their eventual extension to the management of human crowds.

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