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

Fluctuation-regularized front propagation dynamics in reaction-diffusion systems.

Elisheva Cohen1, David A Kessler, Herbert Levine

  • 1Department of Physics, Bar-Ilan University, Ramat-Gan, IL52900 Israel.

Physical Review Letters
|May 21, 2005
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

Toward neural network-based optical wave reconstruction for the supersonic turbulent cavity flow.

Applied optics·2026
Same author

Fractionally quantized recurrence detection times in monitored quantum many-body systems.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same author

Ecological dynamics of pro-tumor and anti-tumor teams in the tumor microenvironment.

Physical biology·2026
Same author

Rewiring miR-22/SNAI1 via CRISPR-based edge editing destabilizes the epithelial phenotype.

NPJ systems biology and applications·2026
Same author

Phase-field approach to cellular blebbing.

Physical review. E·2026
Same author

A biophysical framework for accurately identifying antigen single-amino acid escape variants and corresponding variant-specific compensatory TCR sequences.

bioRxiv : the preprint server for biology·2026
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

We introduce novel fronts in particle-number reaction-diffusion systems that move up reaction-rate gradients. These fronts deviate from traditional mean-field limits, requiring a density cutoff for accurate modeling of fluctuations and velocity.

Area of Science:

  • Physics
  • Chemical Kinetics
  • Statistical Mechanics

Background:

  • Reaction-diffusion systems are fundamental to modeling spatial pattern formation.
  • Finite particle number introduces stochastic effects absent in continuous models.
  • Traditional mean-field theory often fails to capture essential stochastic dynamics.

Purpose of the Study:

  • To introduce and analyze a new class of fronts in finite particle-number reaction-diffusion systems.
  • To investigate the behavior of fronts propagating against reaction-rate gradients.
  • To address the limitations of mean-field theory in these systems.

Main Methods:

  • Development of a theoretical framework for finite particle-number reaction-diffusion systems.
  • Analysis of front propagation dynamics under reaction-rate gradients.

Related Experiment Videos

  • Introduction of a density cutoff to incorporate stochastic fluctuations.
  • Derivation of analytic expressions for front velocity.

    • Main Results:

    • Demonstration that these systems lack a traditional mean-field limit.
    • Identification of essential differences between stochastic front solutions and mean-field predictions.
    • Validation of the density cutoff approach for capturing key fluctuation effects.
    • Derivation of analytic formulas for front velocity dependence on particle density.

    Conclusions:

    • Finite particle number fundamentally alters front dynamics in reaction-diffusion systems.
    • A density cutoff provides a viable method to incorporate stochasticity and improve model accuracy.
    • The derived analytic expressions offer predictive power for front velocity in these systems.