Structural Transition Models for a class of Irreversible Aggregates

Details Structural Transition Models for a class of Irreversible Aggregates Structural Transition Models for a class of Irreversible Aggregates

1995-03-02

arxiv.org/abs/cond-mat/9503015v1

Physics

Condensed Matter

LaTeX file, 6 Figs upon request - to appear Molecular Physics Reports

Scientific paper

A progress report on two recent theoretical approaches proposed to understand the physics of irreversible fractal aggregates showing up a structural transition from a rather dense to a more multibranched growth is presented. In the first approach the transition is understood by solving the Poisson equation on a squared lattice. The second approach is based on the discretization of the Biharmonic equation. Within these models the transition appears when the growth velocity at the fractal surface presents a minimum. The effects of the surrounding medium and geometrical constraints for the seed particles are considered. By using the optical diffraction method, the structural transition is further characterized by a decrease in the fractal dimension for this peculiar class of aggregates.

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