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Updated: Aug 2, 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
Thermodynamic formalism of the harmonic measure of diffusion limited aggregates: phase transition
B Davidovitch1, M H Jensen, A Levermann
1Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel.
Abstract:
We study the nature of the phase transition in the multifractal formalism of the harmonic measure of diffusion limited aggregates. Contrary to previous work that relied on random walk simulations or ad hoc models to estimate the low probability events of deep fjord penetration, we employ the method of iterated conformal maps to obtain an accurate computation of the probability of the rarest events. We resolve probabilities as small as 10(-35). We show that the generalized dimensions D(q) are infinite for q
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