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

Cluster persistence in one-dimensional diffusion-limited cluster-cluster aggregation.

E K O Hellén1, P E Salmi, M J Alava

  • 1Laboratory of Physics, Helsinki University of Technology, P. O. Box 1100, FIN-02150 HUT, Finland. ehe@fyslab.hut.fi

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 7, 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

Machine learning dislocation density correlations and solute effects in Mg-based alloys.

Scientific reports·2023
Same author

Janićević et al. Reply.

Physical review letters·2017
Same author

Path (un)predictability of two interacting cracks in polycarbonate sheets using Digital Image Correlation.

Scientific reports·2016
Same author

Boundary lubrication with a liquid crystal monolayer.

Physical review. E, Statistical, nonlinear, and soft matter physics·2014
Same author

Evolution of grain contacts in a granular sample under creep and stress relaxation.

Physical review. E, Statistical, nonlinear, and soft matter physics·2013
Same author

How important tasks are performed: peer review.

Scientific reports·2013
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 how cluster persistence probability changes with cluster size in aggregation. For negative exponents, spatial fluctuations are crucial, impacting persistence and cluster size distribution.

Area of Science:

  • Physics
  • Statistical Mechanics
  • Complex Systems

Background:

  • Cluster-cluster aggregation is a fundamental process in various physical and chemical systems.
  • Understanding cluster persistence is key to predicting system evolution and final structures.
  • The diffusion coefficient's size dependence (D(s) ~ s^gamma) significantly influences aggregation dynamics.

Purpose of the Study:

  • To investigate the persistence probability P(C)(t) in cluster-cluster aggregation.
  • To analyze the impact of diffusion coefficient's size dependence (D(s) ~ s^gamma) on aggregation.
  • To determine the relationship between persistence and cluster size distribution.

Main Methods:

  • Mapping the problem to the survival of three annihilating random walkers with time-dependent noise correlations in the mean-field limit.

Related Experiment Videos

  • Analyzing the behavior of persistence probability for different values of the exponent gamma.
  • Investigating the influence of spatial fluctuations on the system for gamma < 0.

    • Main Results:

    • For gamma >= 0, mean-field theory accurately describes cluster persistence.
    • For gamma < 0, spatial fluctuations become relevant, leading to an overestimation of persistence by random walk theory.
    • The decay of persistence dictates the small-size tail of the cluster size distribution.
    • For 0 < gamma < 2, the cluster size distribution is surprisingly flat and independent of gamma.

    Conclusions:

    • The exponent gamma critically determines the relevance of mean-field theory versus spatial fluctuations in cluster aggregation.
    • Spatial fluctuations play a significant role for negative gamma, affecting persistence and size distribution.
    • The study provides insights into the universality of cluster size distributions in aggregation processes.