Formation of Fractal Clusters and Networks by Irreversible Diffusion-Limited Aggregation. Meakin, P. Physical Review Letters, 51(13):1119--1122, September, 1983.
Formation of Fractal Clusters and Networks by Irreversible Diffusion-Limited Aggregation [link]Paper  doi  abstract   bibtex   
A model for diffusion-controlled aggregation in which growing clusters as well as individual particles are mobile has been investigated. Two versions of the model in which the cluster diffusion coefficient is either size independent or inversely proportional to number of particles (mass) give very similar results. In the limit of low concentration and large system size both models lead to structures with a fractal (Hausdorff) dimensionality of about 1.45-1.5 in two-dimensional lattice-based simulations.
@article{meakin_formation_1983,
	title = {Formation of {Fractal} {Clusters} and {Networks} by {Irreversible} {Diffusion}-{Limited} {Aggregation}},
	volume = {51},
	url = {http://link.aps.org/doi/10.1103/PhysRevLett.51.1119},
	doi = {10.1103/PhysRevLett.51.1119},
	abstract = {A model for diffusion-controlled aggregation in which growing clusters as well as individual particles are mobile has been investigated. Two versions of the model in which the cluster diffusion coefficient is either size independent or inversely proportional to number of particles (mass) give very similar results. In the limit of low concentration and large system size both models lead to structures with a fractal (Hausdorff) dimensionality of about 1.45-1.5 in two-dimensional lattice-based simulations.},
	number = {13},
	urldate = {2013-02-13TZ},
	journal = {Physical Review Letters},
	author = {Meakin, Paul},
	month = sep,
	year = {1983},
	pages = {1119--1122}
}

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