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Aggregation of finite size particles with variable mobility

Darryl D. Holm·Vakhtang Putkaradze
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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.

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Darryl D. Holm, Vakhtang Putkaradze. 2005-01-04. Aggregation of finite size particles with variable mobility. https://doi.org/10.1103/physrevlett.95.226106

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