The fractal dimensions of Laplacian growth: an analytical approach based on a universal dimensionality function
Explore this paper's citation graph
Summary
An analytical description to the fractal dimensions of the DBM and DLA is provided by means of a recently introduced general dimensionality equation for the scaling of clusters undergoing a continuous morphological transition.
- Type
- preprint
- Published
- 2016-11-25
- Cited by
- 0
- References
- 56
- Access
- Open access
- OpenAlex
- https://openalex.org/W2761023599
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:119492084
Keywords
Fractal, Statistical physics, Scaling, Fractal dimension, Fractal dimension on networks
References
- Dimensions, maximal growth sites, and optimization in the dielectric breakdown model.
- Universal fractality of morphological transitions in stochastic growth processes
- Tip splittings and phase transitions in the dielectric breakdown model: mapping to the diffusion-limited aggregation model.
- Information-entropic signature of the critical point
- Growth and forms of Laplacian aggregates.
- Fractal dimensionality for the eta model.
- RENORMALIZATION THEORY OF STOCHASTIC GROWTH
- Probability scaling for diffusion-limited aggregation in higher dimensions.
- Calculation of the fractal dimension of diffusion-limited aggregation by the renormalization-group approach in an arbitrary Euclidean dimension d.
- Scaling exponent of the maximum growth probability in diffusion-limited aggregation.
- Comment on "Self-similarity of diffusion-limited aggregates and electrodeposition clusters"
- Correction to scaling analysis of diffusion-limited aggregation
- Barycentric fixed-mass method for multifractal analysis.
- Self-similarity of diffusion-limited aggregates and electrodeposition clusters.
- Diffusion-limited aggregation: A kinetic critical phenomenon?
- Upper bounds for the growth rate of DLA
- The fixed-scale transformation approach to fractal growth
- A hierarchical model for scaling structure in generalised diffusion-limited aggregations
- Kinetic renormalization group approach to diffusion limited aggregation
- Fractal Dimension of Dielectric Breakdown
Cited by
No citing papers recorded for this paper.
Related papers
- Analytic Theory of Fractal Growth Patterns in 2 Dimensions
- Angular and radial correlation scaling in stochastic growth morphodynamics: a unifying fractality framework
- Fractal dimensions of a weakly clustered distribution and the scale of homogeneity
- Conformal theory of the dimensions of diffusion-limited aggregates
- Universality and Scale Invariant Dynamics in Laplacian Fractal Growth
- FIXED SCALE TRANSFORMATION APPROACH TO CLUSTER-CLUSTER AGGREGATION
- Fractal structure in Yang-Mills fields and non extensivity