@article{b,
title = {Stationary Growth and Unique Invariant Harmonic Measure of Cylindrical Diffusion Limited Aggregation},
author = {Riccardo Marchetti and Alessandro Taloni and Emanuele Caglioti and Vittorio Loreto and Luciano Pietronero},
url = {http://prl.aps.org/},
year = {2012},
date = {2012-01-01},
journal = {PHYSICAL REVIEW LETTERS},
volume = {109},
publisher = {AMER PHYSICAL SOC},
abstract = {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 exponent characterizing the stationary growth is the DLA fractal dimension.},
keywords = {caglioti, complex_systems, loreto, marchetti, pietronero, taloni},
pubstate = {published},
tppubtype = {article}
}
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 exponent characterizing the stationary growth is the DLA fractal dimension.
