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A cellular-automata model of flow in ant-trails: non-monotonic variation of speed with density

Debashish Chowdhury·Vishwesha Guttal·Katsuhiro Nishinari·Andreas Schadschneider
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Abstract

Generically, in models of driven interacting particles the average speed of the particles decreases monotonically with increasing density. We propose a counter-example, motivated by the motion of ants in a trail, where the average speed of the particles varies {\it non-monotonically} with their density because of the coupling of their dynamics with another dynamical variable. These results, in principle, can be tested experimentally.

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Debashish Chowdhury, Vishwesha Guttal, Katsuhiro Nishinari, Andreas Schadschneider. 2003-01-29. A cellular-automata model of flow in ant-trails: non-monotonic variation of speed with density. https://arxiv.org/abs/cond-mat/0201207

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