A Generalized Diffusion-Limited Aggregation Where Aggregate Sites Have a Finite Radical Time

Abstract

In this paper, we study a new class of diffusion-limited aggregation, where each aggregate particle adheres to the aggregate and continues to be radical for a finite time τ. When τ=1 and τ=∞, the present model is reduced to a diffusion-limited self-avoiding walk (DLSAW) and to the original (Witten-Sander) diffusion-limited aggregation, respectively. For a finite radical time, the growth crosses over from DLA growth to DLSAW growth. The crossover time increases with increasing τ. To describe this behavior, we developed a simple scaling theory.