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

Directed random walks on directed percolation clusters.

Xiao-Hong Wang1, Ehud Perlsman, Shlomo Havlin

  • 1Minerva Center and Department of Physics, Bar-Ilan University, 52900 Ramat-Gan, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 6, 2003
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

Design of robust networks via reinforcement learning prompts the emergence of multi-backbones.

Nature communications·2026
Same author

Slower searching yields higher efficiency: A case study of taxi drivers.

Proceedings of the National Academy of Sciences of the United States of America·2025
Same author

Evaluating in-vivo spontaneous firing rate in the brain based on neuronal noise modeling.

Communications biology·2025
Same author

The random cascading origin of abrupt transitions in interdependent systems.

Nature communications·2025
Same author

The critical role of persistent disruption in advancing science.

Nature computational science·2025
Same author

Twitter communities are associated with changing user's opinion towards COVID-19 vaccine in Japan.

Scientific reports·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

Researchers numerically studied directed random walks on 2D directed percolation clusters. The study found a specific probability distribution for walker distance, consistent with a tree-like cluster structure.

Area of Science:

  • Statistical Physics
  • Complex Systems
  • Network Science

Background:

  • Directed percolation is a fundamental model in statistical physics, crucial for understanding phase transitions in disordered systems.
  • Random walks are essential tools for probing the geometry and dynamics of complex structures like percolation clusters.

Purpose of the Study:

  • To numerically investigate the behavior of directed random walks on two-dimensional directed percolation clusters at their critical probability.
  • To determine the probability distribution governing the distance of walkers from the cluster's most probable end point.
  • To compare the findings with existing theoretical models, specifically the tree description of directed percolation.

Main Methods:

  • Numerical simulations were performed on two-dimensional directed percolation clusters.

Related Experiment Videos

  • The critical probability p(c) was used to generate the clusters.
  • The distance distribution of directed random walkers from their most probable end point was analyzed.

    • Main Results:

    • A probability distribution p(d) approximately d(-(1+w/nu)) was identified for the walker's distance (d).
    • The exponents w and nu were found to be approximately 0.50 and 0.63, respectively.
    • This distribution remained independent of cluster length (t) up to distances comparable to the cluster's width (approximately t(nu)).

    Conclusions:

    • The observed probability distribution supports a tree-like description of directed percolation clusters.
    • The numerical results provide quantitative insights into the scaling properties of random walks on these critical structures.