Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Laplacian growth and diffusion limited aggregation: different universality classes.

F Barra1, B Davidovitch, A Levermann

  • 1Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel.

Physical Review Letters
|October 3, 2001
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Decidualized posterior compartment deep endometriosis: three-dimensional rendering and Doppler-based vascular assessment.

Ultrasound in obstetrics & gynecology : the official journal of the International Society of Ultrasound in Obstetrics and Gynecology·2026
Same author

Contrasting magma chemistry in the Candelaria IOCG district caused by changing tectonic regimes.

Scientific reports·2024
Same author

A High-End Estimate of Sea Level Rise for Practitioners.

Earth's future·2023
Same author

Trabectedin for the therapy of ovarian cancer.

Drugs of today (Barcelona, Spain : 1998)·2020
Same author

Characterization of Biostable Atomic Layer Deposited (ALD) Multilayer Passivation Coatings for Active Implants<sup>.</sup>

Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference·2020
Same author

Relugolix for the treatment of uterine fibroids.

Drugs of today (Barcelona, Spain : 1998)·2019
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

Diffusion limited aggregates and Laplacian growth patterns are not in the same universality class. New fractal growth models show Laplacian growth has a higher dimension, differentiating it from diffusion limited aggregates.

Area of Science:

  • Complex Systems
  • Fractal Geometry
  • Mathematical Physics

Background:

  • A long-standing conjecture proposed that diffusion limited aggregates (DLA) and Laplacian growth (LG) patterns belong to the same universality class.
  • Understanding the universality classes of growth phenomena is crucial for classifying complex systems.

Purpose of the Study:

  • To investigate the relationship between diffusion limited aggregates and Laplacian growth patterns.
  • To determine if these two growth models belong to the same universality class.

Main Methods:

  • Construction of a one-parameter family of fractal growth patterns using iterated conformal maps.
  • Analysis of the fractal dimension of the generated patterns.

Main Results:

Related Experiment Videos

  • A continuous family of fractal growth patterns with varying fractal dimensions was generated.
  • The generated family provided a lower bound for the fractal dimension of Laplacian growth patterns.
  • The lower bound for Laplacian growth patterns was found to be higher than the fractal dimension of diffusion limited aggregates.

Conclusions:

  • Diffusion limited aggregates and Laplacian growth patterns belong to different universality classes.
  • The findings challenge the previous conjecture regarding the shared universality class of DLA and LG.