title: Stationary growth and unique invariant harmonic measure of cylindrical diffusion limited aggregation.
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.
authors.affiliation: Dipartimento di Fisica, La Sapienza Università di Roma, Rome, Italy.
authors.forename: Riccardo
authors.initials: R
authors.lastname: Marchetti
authors.forename: Alessandro
authors.initials: A
authors.lastname: Taloni
authors.forename: Emanuele
authors.initials: E
authors.lastname: Caglioti
authors.forename: Vittorio
authors.initials: V
authors.lastname: Loreto
authors.forename: Luciano
authors.initials: L
authors.lastname: Pietronero