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

Multispecies pair annihilation reactions.

Olivier Deloubrière1, Henk J Hilhorst, Uwe C Täuber

  • 1Department of Physics, Virginia Polytechnic Institute and State University, Blacksburg 24061-0435, USA.

Physical Review Letters
|December 18, 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

Slow spatial migration can help eradicate cooperative antimicrobial resistance in time-varying environments.

PLoS computational biology·2026
Same author

Computing macroscopic reaction rates in reaction-diffusion systems using Monte Carlo simulations.

Physical review. E·2024
Same author

Lotka-Volterra predator-prey model with periodically varying carrying capacity.

Physical review. E·2023
Same author

Effects of lattice dilution on the nonequilibrium phase transition in the stochastic susceptible-infectious-recovered model.

Physical review. E·2022
Same author

Critical dynamics of the antiferromagnetic O(3) nonlinear sigma model with conserved magnetization.

Physical review. E·2022
Same author

Editorial: Introducing Perspective Articles.

Physical review. E·2022
Same journal

Erratum: Spectroscopy and Ground-State Transfer of Ultracold Bosonic ^{39}K^{133}Cs Molecules [Phys. Rev. Lett. 135, 203401 (2025)].

Physical review letters·2026
Same journal

Erratum: Lifetime of the ^{2}F_{7/2} Level in Yb^{+} for Spontaneous Emission of Electric Octupole Radiation [Phys. Rev. Lett. 127, 213001 (2021)].

Physical review letters·2026
Same journal

Laser-Plasma Based Seeded Free Electron Laser in the High-Gain Regime.

Physical review letters·2026
Same journal

Parent Hamiltonians for Stabilizer Quantum Many-Body Scars.

Physical review letters·2026
Same journal

Properties of Heavy Cosmic Nuclei Phosphorus, Chlorine, Argon, Potassium, and Calcium: Results from the Alpha Magnetic Spectrometer.

Physical review letters·2026
Same journal

Role of Spin-Isospin Symmetries in Nuclear β-Decays.

Physical review letters·2026
See all related articles

For multi-species annihilation reactions in d>=2 dimensions, density decay mirrors single-species reactions. In d=1, particle segregation occurs, with density following a power law dependent on species number.

Area of Science:

  • Chemical kinetics
  • Statistical physics
  • Reaction-diffusion systems

Background:

  • Diffusion-limited reactions are fundamental in chemical and biological systems.
  • Understanding multi-species interactions is crucial for complex system modeling.
  • Previous studies often focused on single-species or simpler reaction types.

Purpose of the Study:

  • To investigate the density decay dynamics of multi-species diffusion-limited annihilation reactions (A(i)+A(j)-->).
  • To compare the behavior of these reactions across different spatial dimensions (d).
  • To determine the influence of the number of species (q) on reaction outcomes.

Main Methods:

  • Theoretical analysis of reaction-diffusion equations.
  • Asymptotic analysis of density decay.

Related Experiment Videos

  • Monte Carlo simulations for validation.

    • Main Results:

    • In d>=2 dimensions, asymptotic density decay for q>2 is similar to single-species A+A--> reactions.
    • In d=1 dimension, particle segregation is observed for all q.
    • A q-dependent power law, rho(t) approximately t(-alpha(q)), describes density decay in d=1.
    • Exact solution for alpha(q)=(q-1)/2q derived for a simplified model.

    Conclusions:

    • Spatial dimensionality significantly impacts annihilation reaction dynamics.
    • Particle segregation in 1D is a key feature of multi-species annihilation.
    • The number of species influences the decay rate in one dimension.