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

Nonequilibrium coupled Brownian phase oscillators.

M Kostur1, J Luczka, L Schimansky-Geier

  • 1Department of Physics and Astronomy, The University of Maine, Orono, Maine 04469, USA.

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

Approach to nonequilibrium: From anomalous to Brownian diffusion via non-Gaussianity.

Chaos (Woodbury, N.Y.)·2025
Same author

Effective mass approach to memory in non-Markovian systems.

Physical review. E·2024
Same author

Temperature anomalies of oscillating diffusion in ac-driven periodic systems.

Physical review. E·2023
Same author

Periodic potential can enormously boost free-particle transport induced by active fluctuations.

Physical review. E·2023
Same author

Giant oscillations of diffusion in ac-driven periodic systems.

Chaos (Woodbury, N.Y.)·2022
Same author

Conundrum of weak-noise limit for diffusion in a tilted periodic potential.

Physical review. E·2021
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 models coupled phase oscillators under equilibrium and nonequilibrium conditions. A novel oscillating regime was discovered in nonequilibrium systems, unpredicted by mean-field theory.

Area of Science:

  • Physics
  • Complex Systems
  • Statistical Mechanics

Background:

  • Globally coupled phase oscillators are fundamental models in understanding synchronization phenomena.
  • Equilibrium and nonequilibrium dynamics exhibit distinct behaviors, necessitating separate analytical approaches.

Purpose of the Study:

  • To investigate the behavior of globally coupled phase oscillators under both equilibrium and nonequilibrium conditions.
  • To compare analytical predictions with numerical simulations for complex dynamical systems.

Main Methods:

  • Analytical solutions for equilibrium systems using mean-field theory.
  • Analytical derivations and numerical solutions of master equations for nonequilibrium systems.
  • Monte Carlo simulations of coupled Langevin equations.

Related Experiment Videos

Main Results:

  • The equilibrium system's mean-field equation and stability were analyzed.
  • Various asymptotic regimes for the nonequilibrium system were derived analytically.
  • Five distinct long-time regimes were identified in the nonequilibrium system.
  • A novel oscillating regime was discovered, not predictable by mean-field theory.

Conclusions:

  • Mean-field theory accurately predicts some, but not all, regimes in nonequilibrium oscillator systems.
  • Numerical simulations are crucial for uncovering emergent behaviors like the oscillating regime.
  • The study provides a comprehensive phase diagram for nonequilibrium coupled phase oscillators.