Is DLA Locally Isotropic or Self-Affine?

Details Is DLA Locally Isotropic or Self-Affine? Is DLA Locally Isotropic or Self-Affine?

1994-09-16

arxiv.org/abs/cond-mat/9409069v1

Physics

Condensed Matter

LATEX, 8 pages

Scientific paper

We present results of simulations which show unambiguously that DLA clusters are not self-affine, in contrast to frequent claims. The measured observable is the asymmetry of the last step of a walker before he sticks to the growing cluster. Using deposition onto an originally straight line off lattice, we show that this asymmetry tends to zero algebraically with the thickness of the deposit.

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