dorsal/arxiv
View SchemaCompetition of coarsening and shredding of clusters in a driven diffusive lattice gas
| Authors | Ambarish Kunwar, Debashish Chowdhury, Andreas Schadschneider, Katsuhiro Nishinari |
|---|---|
| Categories | |
| ArXiv ID | physics/0605229 |
| URL | https://arxiv.org/abs/physics/0605229 |
| DOI | 10.1088/1742-5468/2006/06/P06012 |
| Journal | Journal of Statistical Mechanics: Theory and Experiment, P06012 (2006) |
Abstract
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.
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"abstract": "We investigate a driven diffusive lattice gas model with two oppositely\nmoving species of particles. The model is motivated by bi-directional traffic\nof ants on a pre-existing trail. A third species, corresponding to pheromones\nused by the ants for communication, is not conserved and mediates interactions\nbetween the particles. Here we study the spatio-temporal organization of the\nparticles. In the uni-directional variant of this model it is known to be\ndetermined by the formation and coarsening of ``loose clusters\u0027\u0027. For our\nbi-directional model, we show that the interaction of oppositely moving\nclusters is essential. In the late stages of evolution the cluster size\noscillates because of a competition between their `shredding\u0027 during encounters\nwith oppositely moving counterparts and subsequent \"coarsening\" during\ncollision-free evolution. We also establish a nontrivial dependence of the\nspatio-temporal organization on the system size.",
"arxiv_id": "physics/0605229",
"authors": [
"Ambarish Kunwar",
"Debashish Chowdhury",
"Andreas Schadschneider",
"Katsuhiro Nishinari"
],
"categories": [
"physics.bio-ph",
"cond-mat.stat-mech",
"q-bio.QM"
],
"doi": "10.1088/1742-5468/2006/06/P06012",
"journal_ref": "Journal of Statistical Mechanics: Theory and Experiment, P06012\n (2006)",
"title": "Competition of coarsening and shredding of clusters in a driven diffusive lattice gas",
"url": "https://arxiv.org/abs/physics/0605229"
},
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