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

Wave front depinning transition in discrete one-dimensional reaction-diffusion systems.

A Carpio1, L L Bonilla

  • 1Departamento de Matemática Aplicada, Universidad Complutense de Madrid, 28040 Madrid, Spain.

Physical Review Letters
|June 21, 2001
PubMed
Summary

This study presents a theory for wave front depinning in nonlinear oscillator chains. The research confirms scaling laws and wave front behavior in discrete systems using numerical calculations.

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

Charging capacitors using diodes at different temperatures. I. Theory.

Physical review. E·2026
Same author

Charging capacitors using diodes at different temperatures. II. Numerical studies.

Physical review. E·2026
Same author

Power laws of natural swarms as fingerprints of an extended critical region.

Physical review. E·2024
Same author

Soliton approximation in continuum models of leader-follower behavior.

Physical review. E·2023
Same author

Charging capacitors from thermal fluctuations using diodes.

Physical review. E·2023
Same author

Mean-field theory of chaotic insect swarms.

Physical review. E·2023

Area of Science:

  • Physics
  • Nonlinear dynamics
  • Complex systems

Background:

  • Wave front pinning and depinning are common in discrete systems across various scientific fields.
  • Overdamped chains of nonlinear oscillators with nearest-neighbor coupling are frequently used to model these phenomena.
  • Constant external forces are often applied to control these systems.

Purpose of the Study:

  • To develop a theoretical framework for the depinning transition in discrete nonlinear oscillator systems.
  • To investigate the scaling laws governing these transitions.
  • To analyze the asymptotic behavior of wave fronts during depinning.

Main Methods:

  • Development of a theoretical model for depinning transitions.
  • Application of the theory to overdamped chains of nonlinear oscillators.

Related Experiment Videos

  • Confirmation of theoretical predictions through numerical simulations.

    • Main Results:

    • A comprehensive theory for the depinning transition in discrete nonlinear oscillator systems is established.
    • Key scaling laws associated with the depinning transition are identified.
    • Asymptotic properties of wave fronts during depinning are elucidated and numerically verified.

    Conclusions:

    • The presented theory accurately describes wave front depinning in discrete nonlinear systems.
    • Numerical calculations validate the theoretical predictions regarding scaling laws and wave front asymptotics.
    • The findings provide fundamental insights into the behavior of complex discrete systems.