PMID: 11308917Apr 20, 2001Paper

Scaling in steady-state aggregation with injection

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
J Camacho

Abstract

A mean-field approach for steady-state aggregation with injection is presented. It is shown that for a wide variety of aggregation processes the resulting steady-size distribution obeys a power law N(m) approximately m(-alpha) with alpha=(3+beta)/2 and beta the degree of homogeneity of the coagulation kernel. The general conditions for this to happen are obtained. Some applications are studied. In particular, it predicts a potential behavior for coagulation in atmospheric aerosols with exponent alpha approximately 2, in agreement with observations. The theoretical results also agree with some animal group-size distributions and with numerical simulations in fractal aggregates.

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Citations

Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Young-Pyo Jeon, Benjamin J McCoy
Feb 27, 2018·Physical Review Letters·Quentin Vagne, Pierre Sens
May 24, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Y A Kryukov, Jacques G Amar
Apr 20, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R Rajesh
Sep 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Bradley C HubarttJacques G Amar
Apr 14, 2021·Scientific Reports·Mario CastroCarmen Molina-París

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