Universal kinetics in reaction-limited aggregation
Ball, Robin, Weitz, D. A. , Witten, T. (Thomas A.) and Leyvraz, F.. (1987) Universal kinetics in reaction-limited aggregation. Physical Review Letters, Vol.58 (No.3). pp. 274-277. ISSN 0031-9007Full text not available from this repository.
Official URL: http://dx.doi.org/10.1103/PhysRevLett.58.274
Reaction-limited cluster aggregation is modeled with the kinetic rate (Smoluchowski) equations, using a kernel determined intrinsically by the clusters fractal geometry. The kernel scales with cluster mass as M1M2λ-1 (M1≫M2), and M1λ (M1≊M2), with λ=1 in three dimensions, resulting in exponential kinetics and a cluster mass distribution CM∼M-τ, with τ=(3/2), in excellent accord with experiments. The singular nature of this solution forces the adjustment of the cluster fractal dimension, df, thereby determining its value.
|Item Type:||Journal Article|
|Subjects:||Q Science > QC Physics
Q Science > QD Chemistry
|Divisions:||Faculty of Science > Physics|
|Library of Congress Subject Headings (LCSH):||Aggregation (Chemistry), Kinetic theory of matter|
|Journal or Publication Title:||Physical Review Letters|
|Publisher:||American Physical Society|
|Page Range:||pp. 274-277|
Actions (login required)