Aggregation of finite size particles with variable mobility

Details Aggregation of finite size particles with variable mobility Aggregation of finite size particles with variable mobility

2005-01-04

arxiv.org/abs/nlin/0501009v1

Physical Review Letters, vol 95, 226106 (2005)

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.95.226106

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.

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