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

Damped finite-time singularity driven by noise.

Hans C Fogedby1

  • 1Institute of Physics and Astronomy, University of Aarhus, DK-8000 Aarhus C, Denmark. fogedby@phys.au.dk

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 20, 2003
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

Single DNA denaturation and bubble dynamics.

Journal of physics. Condensed matter : an Institute of Physics journal·2011
Same author

Minimum action method for the Kardar-Parisi-Zhang equation.

Physical review. E, Statistical, nonlinear, and soft matter physics·2009
Same author

Dynamics of DNA breathing: weak noise analysis, finite time singularity, and mapping onto the quantum Coulomb problem.

Physical review. E, Statistical, nonlinear, and soft matter physics·2008
Same author

DNA bubble dynamics as a quantum Coulomb problem.

Physical review letters·2007
Same author

Kardar-Parisi-Zhang equation in the weak noise limit: pattern formation and upper critical dimension.

Physical review. E, Statistical, nonlinear, and soft matter physics·2006
Same author

Localized growth modes, dynamic textures, and upper critical dimension for the Kardar-Parisi-Zhang equation in the weak-noise limit.

Physical review letters·2005
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

Noise resolves finite-time singularities in dynamical models, creating distributions with peaks and long tails. Linear damping introduces a crossover time, influencing early and late-time behaviors in this study relevant to nanohydrodynamics and biophysics.

Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Statistical Mechanics

Background:

  • Finite-time singularities pose challenges in dynamical systems.
  • Understanding the interplay of noise and damping is crucial for realistic models.

Purpose of the Study:

  • To investigate the combined effects of linear damping and noise on a finite-time singularity model.
  • To analyze how these factors modify the system's behavior and resolve singularities.

Main Methods:

  • Analysis of a single degree of freedom dynamical model.
  • Mathematical modeling incorporating linear damping and stochastic noise.
  • Examination of probability distributions and first-passage-time distributions.

Main Results:

Related Experiment Videos

  • Noise effectively resolves the finite-time singularity, leading to a first-passage-time distribution with a peak and long tail.
  • Linear damping introduces a characteristic crossover time, governing system dynamics.
  • Early-time behavior exhibits power-law scaling dependent on nonlinear coupling and noise strength.
  • Late-time behavior is dominated by the damping effects.

Conclusions:

  • The study provides a comprehensive analysis of noise and damping effects on finite-time singularities.
  • Findings are relevant to diverse fields including nanohydrodynamics, material physics, and biophysics.
  • The model offers insights into phenomena where singularities are naturally resolved by physical processes.