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

Invasion percolation between two sites.

A D Araújo1, T F Vasconcelos, A A Moreira

  • 1Departamento de Física, Universidade Federal do Ceará, 60451-970 Fortaleza, Ceará, Brazil.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 31, 2005
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

Moon phases influence encounters of anurans in the Brazilian semi-arid region of Piauí.

Brazilian journal of biology = Revista brasleira de biologia·2026
Same author

Morphology of ovaries and spermatheca of Atta sexdens (Hymenoptera: Formicidae) queens: implications for oviposition rates.

Brazilian journal of biology = Revista brasleira de biologia·2026
Same author

Foundation and early survival of Atta sexdens rubropilosa (Hymenoptera: Formicidae) colonies in contrasting environments.

Scientific reports·2026
Same author

Foundation and architecture of leaf-cutting ant nests in the genus Atta Fabricius (Hymenoptera:Formicidae).

Brazilian journal of biology = Revista brasleira de biologia·2025
Same author

Scaling laws of chemical and Euclidean distances in critical percolation trees.

Physical review. E·2025
Same author

Chrysopidae, Coccinellidae and Syrphidae in a Pinus taeda plantation, infested by Cinara atlantica (Hemiptera: Aphididae), in the Atlantic Forest biome.

Brazilian journal of biology = Revista brasleira de biologia·2025
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

We studied invasion percolation in 2D lattices, finding cluster mass statistics depend on extraction site pressure. The mass distribution follows a power-law, with exponents varying based on pressure, but fractal dimension remains consistent.

Area of Science:

  • Physics
  • Statistical Mechanics
  • Complex Systems

Background:

  • Invasion percolation models fluid flow in porous media.
  • Understanding cluster statistics is key to characterizing percolation phenomena.

Purpose of the Study:

  • To investigate invasion percolation between two sites in 2D lattices.
  • To analyze the impact of local occupation probability (pressure) on invaded cluster statistics.
  • To determine the fractal dimension and self-organized critical behavior.

Main Methods:

  • Simulations of nontrapping invasion percolation on 2D lattices.
  • Analysis of invaded cluster mass distribution at varying local pressures (Pe).
  • Calculation of fractal dimensions and comparison with standard percolation.

Related Experiment Videos

Main Results:

  • Cluster mass distribution P(M) follows a power-law P(M) ~ M^(-alpha).
  • Exponent alpha varies with local pressure Pe: 1.39+/-0.03 for Pe=0 and 1.02+/-0.03 for Pe=Pc (percolation threshold).
  • Fractal dimension of invaded clusters is largely independent of Pe.

Conclusions:

  • Local pressure at the extraction site significantly influences invaded cluster mass statistics.
  • The system exhibits scaling behavior consistent with percolation theory.
  • Lattice borders and self-organized criticality warrant further investigation.