Kinetics of self-induced aggregation in Brownian particles
Abstract
We study a model of interacting random walkers that proposes a simple mechanism for the emergence of cooperation in group of individuals. Each individual, represented by a Brownian particle, experiences an interaction produced by the local unbalance in the spatial distribution of the other individuals. This interaction results in a nonlinear velocity driving the particle trajectories in the direction of the nearest more crowded regions; the competition among different aggregating centers generates nontrivial dynamical regimes. Our simulations show that for sufficiently low randomness, the system evolves through a coalescence behavior characterized by clusters of particles growing with a power law in time. In addition, the typical scaling properties of the general theory of stochastic aggregation processes are verified.
Keywords
Cite
@article{arxiv.cond-mat/0703438,
title = {Kinetics of self-induced aggregation in Brownian particles},
author = {Fabio Cecconi and Giuseppe Gonnella and Gustavo P. Saracco},
journal= {arXiv preprint arXiv:cond-mat/0703438},
year = {2007}
}
Comments
RevTeX, 9 pages, 9 eps-figures