2016
DOI: 10.48550/arxiv.1611.08333
|View full text |Cite
Preprint
|
Sign up to set email alerts
|

The fractal dimensions of Laplacian growth: an analytical approach based on a universal dimensionality function

J. R. Nicolás-Carlock,
J. L. Carrillo-Estrada

Abstract: Laplacian growth, associated to the diffusion-limited aggregation (DLA) model or the more general dielectric-breakdown model (DBM), is a fundamental out-of-equilibrium process that generates structures with characteristic fractal/non-fractal morphologies. However, despite of diverse numerical and theoretical attempts, a data-consistent description of the fractal dimensions of the mass-distributions of these structures has been missing. Here, an analytical description to the fractal dimensions of the DBM and DL… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 58 publications
(104 reference statements)
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?