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

Stochastic hierarchical model for cluster-cluster aggregation.

R E Amritkar1

  • 1Physical Research Laboratory, Navrangpura, Ahmedabad 380009, India.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
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

Bunching of extreme events on complex network.

Chaos (Woodbury, N.Y.)·2026
Same author

Synapse loss and progress of Alzheimer's disease -A network model.

Scientific reports·2019
Same author

Dependence of extreme events on spatial location.

Physical review. E·2018
Same author

Synchronization of nearly identical dynamical systems: Size instability.

Physical review. E, Statistical, nonlinear, and soft matter physics·2015
Same author

Extreme events and event size fluctuations in biased random walks on networks.

Physical review. E, Statistical, nonlinear, and soft matter physics·2012
Same author

Experimental evidence of synchronization of time-varying dynamical network.

Chaos (Woodbury, N.Y.)·2012
Same journal

Efficient Monte Carlo simulations using a shuffled nested Weyl sequence random number generator.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Spatiotemporal dynamics of electromagnetic pulses in saturating nonlinear optical media with normal group velocity dispersion.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Soliton-breather reaction pathways.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Electromagnetic convective cells in a nonuniform dusty plasma.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Stability of neural networks and solitons of field theory.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
See all related articles

This study introduces a new stochastic hierarchical model for cluster-cluster aggregation. The model accurately predicts fractal dimensions and aspect ratios, revealing a peak in fractal dimension related to sticking probability.

Area of Science:

  • Physics
  • Materials Science
  • Complex Systems

Background:

  • Cluster-cluster aggregation is a fundamental process in materials science and physics.
  • Existing hierarchical models provide a framework for understanding aggregation phenomena.
  • Stochastic elements are crucial for accurately modeling real-world aggregation processes.

Purpose of the Study:

  • To present a novel stochastic hierarchical model for cluster-cluster aggregation.
  • To investigate the impact of sticking probability on aggregation dynamics.
  • To validate the model's predictions against established simulation results.

Main Methods:

  • Modification of the Sornsen and Oh hierarchical model by incorporating a sticking probability parameter.
  • Calculation of fractal dimension and aspect ratio using the developed stochastic model.

Related Experiment Videos

  • Comparison of model-derived parameters with results from standard cluster-cluster aggregate simulations.

    • Main Results:

    • The stochastic hierarchical model demonstrates good agreement with simulation data for fractal dimension and aspect ratio.
    • A notable finding is the emergence of a peak in the fractal dimension as a function of sticking probability.
    • The model successfully captures key scaling properties of cluster-cluster aggregates.

    Conclusions:

    • The proposed stochastic hierarchical model offers a robust framework for studying cluster-cluster aggregation.
    • Sticking probability plays a critical role in determining the fractal properties of aggregates.
    • The model's predictive power validates its utility in complex systems research.