Abstract
We study the multifractal (MF) properties of the set of growth probabilities { p i} for 3D off-lattice diffusion-limited aggregation (DLA). We find that: (i) the { p i} display MF scaling for all moments-in contrast to 2D DLA, where one observes a “phase transition” in the MF spectrum for negative moments; (ii) multifractality is also displayed by the p i located in a shell of reduced radius x ≡ r R g , where R g is the radius of gyration of the cluster and r the radius of the shell; (iii) the average value α av of α ≡ -In p/In M in a shell of reduced radius x in a cluster of mass M is a function that does not depend on the cluster mass but only on x.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Physica A: Statistical Mechanics and its Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
