Scaling Relationships in Agglomeration and Annihilation Models
- 27 October 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 79 (17) , 3278-3281
- https://doi.org/10.1103/physrevlett.79.3278
Abstract
A relation between two exponents characterizing the scaling behavior of random agglomeration models with particle injection is proposed and verified by numerical simulations. This relation, and a link between diffusion-limited agglomeration models with and without injection combined with an exact solution of the latter, leads to a solution of the former in arbitrary dimensionality.Keywords
This publication has 21 references indexed in Scilit:
- Theory of Branching and Annihilating Random WalksPhysical Review Letters, 1996
- New Analytic Approach to Multivelocity Annihilation in the Kinetic Theory of ReactionsPhysical Review Letters, 1995
- Crossover from rate-equation to diffusion-controlled kinetics in two-particle coagulationPhysical Review E, 1993
- Decay kinetics of ballistic annihilationPhysical Review Letters, 1993
- Statics and dynamics of a diffusion-limited reaction: Anomalous kinetics, nonequilibrium self-ordering, and a dynamic transitionJournal of Statistical Physics, 1990
- Statistics of ballistic agglomerationPhysical Review Letters, 1990
- Fractal Reaction KineticsScience, 1988
- Long-time crossover phenomena in coagulation kineticsPhysical Review A, 1986
- Fluctuation-dominated kinetics in diffusion-controlled reactionsPhysical Review A, 1985
- Annihilation kinetics in the one-dimensional ideal gasPhysical Review A, 1985