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

Hybrid method for simulating front propagation in reaction-diffusion systems.

Esteban Moro1

  • 1Grupo Interdisciplinar de Sistemas Complejos and Departmento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, E-28911 Leganés, Spain. emoro@math.uc3m.es

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 13, 2004
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

Detecting bias in algorithms used to disseminate information in social networks and mitigating it using multiobjective optimization.

PNAS nexus·2025
Same author

Green space exposure and active transportation during the COVID-19 pandemic: a global analysis using Apple mobility data.

BMJ global health·2025
Same author

AI exposure predicts unemployment risk: A new approach to technology-driven job loss.

PNAS nexus·2025
Same author

Future-proofing cities against negative city mobility and public health impacts of impending natural hazards: a system dynamics modelling study.

The Lancet. Planetary health·2025
Same author

Using human mobility data to quantify experienced urban inequalities.

Nature human behaviour·2025
Same author

Human mobility is well described by closed-form gravity-like models learned automatically from data.

Nature communications·2025
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 investigated pulled front propagation in a reaction-diffusion system. Microscopic fluctuations significantly impact front dynamics, deviating from deterministic models, especially at larger scales.

Area of Science:

  • Physics
  • Chemical Kinetics
  • Computational Science

Background:

  • Reaction-diffusion systems are fundamental to many natural phenomena.
  • Pulled fronts describe the propagation of reaction zones.
  • The Fisher-Kolmogorov-Petrovsky-Piscounov equation is a standard model for such fronts.

Purpose of the Study:

  • To investigate the impact of microscopic fluctuations on pulled front propagation.
  • To analyze deviations from the deterministic Fisher-Kolmogorov-Petrovsky-Piscounov equation.
  • To understand the role of particle number within correlated volumes (Omega).

Main Methods:

  • Monte Carlo simulations were employed to model the microscopic process.
  • A hybrid simulation scheme was utilized to achieve large Omega values.

Related Experiment Videos

  • The study focused on the A <--> A+A reaction-diffusion process.

    • Main Results:

    • Microscopic fluctuations introduce corrections to deterministic front propagation.
    • The interplay between fluctuations and macroscopic relaxation is crucial.
    • Deviations from the Fisher-Kolmogorov-Petrovsky-Piscounov equation become significant with increasing Omega.

    Conclusions:

    • Microscopic details and fluctuations are essential for accurately describing pulled fronts.
    • Deterministic models may not fully capture the dynamics in all regimes.
    • The study highlights the importance of considering particle number per correlated volume in reaction-diffusion systems.