# Kinetics of self-induced aggregation in Brownian particles

Source: [Kinetics of self-induced aggregation in Brownian particles](<https://www.sota2.com/research/paper/68fa20c37a2b558e293331ca>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T22:57:29.768Z

Authors: Fabio Cecconi, Giuseppe Gonnella, Gustavo P. Saracco

Published: 2007-03-16T13:39:20.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0703438>)

[PDF](<https://arxiv.org/pdf/cond-mat/0703438.pdf>)