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Updated: May 18, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
Published on: September 26, 2016
Stationary growth and unique invariant harmonic measure of cylindrical diffusion limited aggregation
Riccardo Marchetti1, Alessandro Taloni, Emanuele Caglioti
1Dipartimento di Fisica, La Sapienza Università di Roma, Rome, Italy.
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.
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