Aggregation of finite size particles with variable mobility
Pattern Formation and Solitons
2009-11-11 v1 Exactly Solvable and Integrable Systems
Abstract
New model equations are derived for dynamics of self-aggregation of finite-size particles. Differences from standard Debye-Huckel and Keller-Segel models are: the mobility of particles depends on the configuration of their neighbors and linear diffusion acts on locally-averaged particle density. The evolution of collapsed states in these models reduces exactly to finite-dimensional dynamics of interacting particle clumps. Simulations show these collapsed (clumped) states emerge from smooth initial conditions, even in one spatial dimension.
Cite
@article{arxiv.nlin/0501009,
title = {Aggregation of finite size particles with variable mobility},
author = {Darryl D. Holm and Vakhtang Putkaradze},
journal= {arXiv preprint arXiv:nlin/0501009},
year = {2009}
}
Comments
4 pages, 2 figures