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

Anomalous diffusion in nonlinear oscillators with multiplicative noise.

Kirone Mallick1, Philippe Marcq

  • 1Service de Physique Théorique, Centre d'Etudes de Saclay, 91191 Gif-sur-Yvette Cedex, France. mallick@spht.saclay.cea.fr

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 22, 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

Multiscale mechanisms driving tissue rupture by invading cells.

Developmental cell·2026
Same author

Tissue stress measurements with Bayesian inversion stress microscopy.

The European physical journal. E, Soft matter·2026
Same author

Expansion into the vacuum of stochastic gases with long-range interactions.

Physical review. E·2025
Same author

Current fluctuations in the Dyson gas.

Physical review. E·2025
Same author

Src kinase slows collective rotation of confined epithelial cell monolayers.

Soft matter·2024
Same author

Semi-infinite Simple Exclusion Process: From Current Fluctuations to Target Survival.

Physical review letters·2024

This study analyzes nonlinear oscillators with random frequencies, finding their energy and motion grow over time. Correlated noise leads to anomalous diffusion, differing from standard white noise behavior.

Area of Science:

  • Nonlinear dynamics
  • Statistical physics
  • Oscillatory systems

Background:

  • Investigating the long-term behavior of undamped nonlinear oscillators is crucial for understanding complex physical systems.
  • The influence of random frequencies on oscillator dynamics presents a significant theoretical challenge.

Purpose of the Study:

  • To analytically and numerically investigate the time-asymptotic behavior of undamped nonlinear oscillators with random frequencies.
  • To determine how averaged physical quantities scale with time and calculate associated exponents and diffusion constants.

Main Methods:

  • Analytical investigation of oscillator dynamics.
  • Numerical simulations to analyze time-asymptotic behavior.
  • Calculation of scaling exponents and generalized diffusion constants for potentials U(x) ~ x^(2n).

Related Experiment Videos

Main Results:

  • Averaged quantities like mechanical energy, root-mean-square position, and velocity exhibit algebraic growth over time.
  • Scaling exponents and diffusion constants are determined for power-law potentials.
  • Correlated noise results in anomalous diffusion exponents, specifically half the value observed for white noise.

Conclusions:

  • Undamped nonlinear oscillators with random frequencies display predictable long-term algebraic growth in key physical quantities.
  • The nature of noise (correlated vs. white) significantly impacts diffusion behavior, leading to anomalous exponents in the correlated case.