Cluster formation and anomalous fundamental diagram in an ant trail model

Details Cluster formation and anomalous fundamental diagram in an ant trail model Cluster formation and anomalous fundamental diagram in an ant trail model

2002-11-29

arxiv.org/abs/cond-mat/0211683v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, REVTEX, with 11 embedded EPS files

Scientific paper

10.1103/PhysRevE.67.036120

A recently proposed stochastic cellular automaton model ({\it J. Phys. A 35, L573 (2002)}), motivated by the motions of ants in a trail, is investigated in detail in this paper. The flux of ants in this model is sensitive to the probability of evaporation of pheromone, and the average speed of the ants varies non-monotonically with their density. This remarkable property is analyzed here using phenomenological and microscopic approximations thereby elucidating the nature of the spatio-temporal organization of the ants. We find that the observations can be understood by the formation of loose clusters, i.e. space regions of enhanced, but not maximal, density.

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