Kinetics of self-induced aggregation in Brownian particles

dc.creatorCecconi, Fabio
dc.creatorGonnella, Giuseppe
dc.creatorSaracco, Gustavo P.
dc.date2007-03-16
dc.date.accessioned2026-07-07T07:52:17Z
dc.date.available2026-07-07T07:52:17Z
dc.descriptionWe 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.
dc.descriptionRevTeX, 9 pages, 9 eps-figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0703438
dc.identifierhttp://arxiv.org/abs/cond-mat/0703438
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125824
dc.subjectStatistical Mechanics
dc.titleKinetics of self-induced aggregation in Brownian particles
dc.typetext

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