Physics – Biological Physics
Scientific paper
2006-05-25
Journal of Statistical Mechanics: Theory and Experiment, P06012 (2006)
Physics
Biological Physics
Scientific paper
10.1088/1742-5468/2006/06/P06012
We investigate a driven diffusive lattice gas model with two oppositely moving species of particles. The model is motivated by bi-directional traffic of ants on a pre-existing trail. A third species, corresponding to pheromones used by the ants for communication, is not conserved and mediates interactions between the particles. Here we study the spatio-temporal organization of the particles. In the uni-directional variant of this model it is known to be determined by the formation and coarsening of ``loose clusters''. For our bi-directional model, we show that the interaction of oppositely moving clusters is essential. In the late stages of evolution the cluster size oscillates because of a competition between their `shredding' during encounters with oppositely moving counterparts and subsequent "coarsening" during collision-free evolution. We also establish a nontrivial dependence of the spatio-temporal organization on the system size.
Chowdhury Debashish
Kunwar Ambarish
Nishinari Katsuhiro
Schadschneider Andreas
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