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

Nishinari, Katsuhiro ; Chowdhury, Debashish ; Schadschneider, Andreas (2003) Cluster formation and anomalous fundamental diagram in an ant-trail model Physical Review E, 67 (3). 036120_1-036120_11. ISSN 1063-651X

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Official URL: http://pre.aps.org/abstract/PRE/v67/i3/e036120

Related URL: http://dx.doi.org/10.1103/PhysRevE.67.036120

Abstract

A recently proposed stochastic cellular automaton model [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 nonmonotonically with their density. This remarkable property is analyzed here using phenomenological and microscopic approximations thereby elucidating the nature of the spatiotemporal 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.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:7878
Deposited On:25 Oct 2010 09:55
Last Modified:16 May 2016 17:59

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