Multiscaling analysis and width of the active zone of large off-lattice DLA

Details Multiscaling analysis and width of the active zone of large off-lattice DLA Multiscaling analysis and width of the active zone of large off-lattice DLA

1992-12-16

arxiv.org/abs/cond-mat/9212024v1

Physics

Condensed Matter

8 pages, 3 figures (included), LaTeX (article, epsf styles)

Scientific paper

10.1016/0378-4371(93)90160-6

We measure the multiscaling behavior of large off-lattice diffusion limited aggregates (DLA). In contrast to previous studies we now find a continuous dependence of the multiscaling dimensions $D(x)$ on the relative distance $x=r/R_g$ to the center of the cluster. This result agrees with measurements on smaller clusters. Furthermore we report the multiscaling behavior and the behavior of the width of the active zone of one very large off-lattice DLA cluster with 50 million particles. Here we find a sharp drop of the multiscaling dimensions for large $x$ instead of a continuous behavior.

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