Hanan, G.W. and Heffernan, Daniel (2008) Global structure and finite-size effects in the f(alpha) of diffusion-limited aggregates. Physical Review E, 77 (011405). ISSN 1539-3755

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Abstract

The multifractal spectrum f(alpha) characterizing the scaling properties of the growth probability on the boundary of radial diffusion-limited aggregates is known to exhibit strong finite size effects. We demonstrate that there exists a correlation between these finite size effects and those present in measurements of the angular width of the fjords which lie between the principal cluster arms. We subsequently conclude that it is the evolution in the global structure of the clusters which is responsible for the slow convergence in f(alpha) and discuss how this global structure induces a phase transition in f(alpha).

Item Type:	Article
Keywords:	Global structure; finite-size effects; diffusion-limited aggregates;
Academic Unit:	Faculty of Science and Engineering > Mathematical Physics
Item ID:	4783
Identification Number:	https://doi.org/10.1103/PhysRevE.77.011405
Depositing User:	Prof. Daniel Heffernan
Date Deposited:	24 Feb 2014 17:02
Journal or Publication Title:	Physical Review E
Publisher:	American Physical Society
Refereed:	Yes
URI:
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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