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

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  • Miyazima Sasuke
    Center for Polymer Studies and Department of Physics, Boston University Department of Engineering Physics, Chubu University
  • Hasegawa Yutaka
    Department of Engineering Physics, Chubu University
  • Bunde Armin
    Center for Polymer Studies and Department of Physics, Boston University Institute für Theoretische Physik, Universität Hamburg
  • Stanley H. Eugene
    Center for Polymer Studies and Department of Physics, Boston University

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  • Generalized Diffusion Limited Aggregati

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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.

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