Stationary growth and unique invariant harmonic measure of cylindrical diffusion limited aggregation.

@article{Marchetti2012StationaryGA,
  title={Stationary growth and unique invariant harmonic measure of cylindrical diffusion limited aggregation.},
  author={R. Marchetti and A. Taloni and E. Caglioti and V. Loreto and L. Pietronero},
  journal={Physical review letters},
  year={2012},
  volume={109 6},
  pages={
          065501
        }
}
We prove that the harmonic measure is stationary, unique, and invariant on the interface of diffusion limited aggregation (DLA) growing on a cylinder surface. We provide a detailed theoretical analysis puzzling together multiscaling, multifractality, and conformal invariance, supported by extensive numerical simulations of clusters built using conformal mappings and on a lattice. The growth properties of the active and frozen zones are clearly elucidated. We show that the unique scaling… Expand
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