Jove
Visualize
Contact Us

Related Experiment Videos

Kinetic behavior of aggregation processes with complete annihilation.

Jianhong Ke1, Zhenquan Lin

  • 1Department of Physics, Wenzhou Normal College, Wenzhou 325027, China. kejianhong@263.net

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 13, 2002
PubMed
Summary

This study examines an n-species aggregation-annihilation system. Results show modified scaling laws for cluster-mass distributions, with exponents dependent on reaction rates or initial concentrations, and conditions for complete species annihilation.

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

A CRISPR-Cas9-Mediated Large-Fragment Assembly Method for Cloning Genomes and Biosynthetic Gene Cluster.

Microorganisms·2024
Same author

Compact Model Training by Low-Rank Projection With Energy Transfer.

IEEE transactions on neural networks and learning systems·2024
Same author

Protective effect of <i>Peucedanum praeruptorum</i> Dunn extract on oxidative damage of LLC‑PK1 cells induced by H<sub>2</sub>O<sub>2</sub>.

Experimental and therapeutic medicine·2023
Same author

Development and expansion of the CRISPR/Cas9 toolboxes for powerful genome engineering in yeast.

Enzyme and microbial technology·2022
Same author

Characterization of cross-species transcription and splicing from Penicillium to Saccharomyces cerevisiae.

Journal of industrial microbiology & biotechnology·2021
Same author

Expression of fungal biosynthetic gene clusters in <i>S. cerevisiae</i> for natural product discovery.

Synthetic and systems biotechnology·2021
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

Area of Science:

  • Chemical kinetics
  • Statistical physics
  • Complex systems

Background:

  • Investigates the kinetic behavior of aggregation-annihilation processes in multi-species systems.
  • Models irreversible aggregation within species and irreversible annihilation between different species.

Purpose of the Study:

  • To analyze the rate equations and asymptotic solutions for cluster-mass distributions.
  • To understand how reaction rates and initial concentrations influence system dynamics.

Main Methods:

  • Employs mean-field theory to study the kinetic behavior.
  • Derives asymptotic solutions for cluster-mass distributions.

Main Results:

  • Cluster-mass distributions follow a modified scaling law, reducing to a standard law in specific scenarios.

Related Experiment Videos

  • Scaling exponents are sensitive to reaction rates, but depend solely on initial concentrations when aggregation rates are twice the annihilation rate.
  • Complete annihilation of all species occurs unless specific aggregation-to-annihilation rate ratios are met.

    • Conclusions:

    • The aggregation-annihilation process exhibits complex scaling behavior influenced by reaction kinetics.
    • Conditions for system persistence versus complete annihilation are identified based on rate parameters and initial conditions.