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

Correlation functions for diffusion-limited annihilation, A+A-->0.

T O Masser1, D ben-Avraham

  • 1Physics Department and Clarkson Institute for Statistical Physics (CISP), Clarkson University, Potsdam, New York 13699-5820, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
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

Dynamics of molecular diffusion of rhodamine 6G in silica nanochannels.

The Journal of chemical physics·2008
Same author

W-specific microsatellite loci detected by in silico analysis map to chromosome Z of the chicken genome.

Animal genetics·2006
Same author

Alternatively spliced isoforms of a novel stromal RNA regulating factor.

Gene·2004
Same author

Percolation in directed scale-free networks.

Physical review. E, Statistical, nonlinear, and soft matter physics·2002
Same author

Continuously variable survival exponent for random walks with movable partial reflectors.

Physical review. E, Statistical, nonlinear, and soft matter physics·2001
Same author

Solution of the modified Helmholtz equation in a triangular domain and an application to diffusion-limited coalescence.

Physical review. E, Statistical, nonlinear, and soft matter physics·2001
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

This study analytically derives correlation functions for diffusion-limited annihilation (A+A-->0). In the long-time limit, these functions match those of coalescence (A+A-->A).

Area of Science:

  • Statistical Physics
  • Chemical Kinetics
  • Complex Systems

Background:

  • Diffusion-limited reactions are fundamental in various scientific fields.
  • Understanding particle interactions and their statistical properties is crucial.
  • Annihilation (A+A-->0) and coalescence (A+A-->A) are key reaction-diffusion models.

Purpose of the Study:

  • To analytically derive the complete hierarchy of multiple-point correlation functions for diffusion-limited annihilation.
  • To compare the long-time asymptotic behavior of annihilation with coalescence.

Main Methods:

  • Utilized the method of intervals for analytical derivation.
  • Focused on the long-time asymptotic limit of the system.

Main Results:

Related Experiment Videos

  • Successfully obtained the full hierarchy of multiple-point correlation functions for A+A-->0.
  • Demonstrated that in the long-time limit, annihilation correlation functions are identical to those of coalescence.
  • Identified differences in other statistical measures, like the interparticle distribution function.

Conclusions:

  • The long-time statistical behavior of diffusion-limited annihilation and coalescence converges.
  • Despite differing mechanisms, their correlation functions become indistinguishable over extended periods.
  • This finding offers insights into universality in reaction-diffusion systems.