Eur. Phys. J. E 5, 471-480 (2001)

The DLCA-RLCA transition arising in 2D-aggregation: simulations and mean field theory

A. Moncho-Jordá¹, G. Odriozola², F. Martínez-López¹, A. Schmitt¹ and R. Hidalgo-Álvarez<sup>1

1</sup>  Departamento de Física Aplicada, Facultad de Ciencias, Universidad de Granada, Campus de Fuentenueva, 18071 Granada, Spain
²  Departamento de Química Física y Matemática, Facultad de Química, Universidad de la República, 11800 Montevideo, Uruguay

rhidalgo@ugr.es

(Received 16 April 2001 and Received in final form 24 May 2001)

Abstract
A sticking probability model based on the average cluster lifetime is employed for deducing a kernel capable to describe the kinetics of computer simulated irreversible aggregation processes in two dimensions. The deduced kernel describes not only the time evolution of the cluster size distribution for diffusion limited aggregation (DLCA) and reaction limited aggregation (RLCA) but also for the entire transition region between both regimes. The model predicts a crossover to diffusion limited cluster aggregation for all sticking probabilities at long aggregation times. The time needed for reaching the DLCA limit increases for decreasing sticking probability.

PACS
82.70.Dd - Colloids.
82.40.Np - Temporal and spatial patterns in surface reactions.
02.50.-r - Probability theory, stochastic processes, and statistics.
82.20.F - Stochastic models - chemical kinetics.


© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2001