Jove
Visualize
Contact Us

Related Experiment Videos

Nonlinear dissipation effect in Brownian relaxation.

A V Plyukhin1, A M Froese

  • 1Department of Physics and Engineering Physics, University of Saskatchewan, Saskatoon, Canada SK S7N 5E2.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 13, 2007
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

Quasirelativistic Langevin equation.

Physical review. E, Statistical, nonlinear, and soft matter physics·2013
Same author

Stochastic dynamics beyond the weak coupling limit: thermalization.

Physical review. E, Statistical, nonlinear, and soft matter physics·2012
Same author

Nonergodic solutions of the generalized Langevin equation.

Physical review. E, Statistical, nonlinear, and soft matter physics·2011
Same author

Stochastic process leading to wave equations in dimensions higher than one.

Physical review. E, Statistical, nonlinear, and soft matter physics·2010
Same author

Generalized Fokker-Planck equation, Brownian motion, and ergodicity.

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

Stochastic dynamics with a mesoscopic bath.

Physical review. E, Statistical, nonlinear, and soft matter physics·2001
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
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

Even with zero initial velocity, Brownian particles can develop a temporary average speed due to nonlinear forces. This phenomenon is significant for complex systems dissociating in viscous, nonequilibrium environments.

Area of Science:

  • Statistical Mechanics
  • Nonlinear Dynamics

Background:

  • Brownian motion describes random particle movement in a fluid.
  • Typically, ensembles of noninteracting particles have zero average velocity.
  • Nonlinearities can introduce complex behaviors not predicted by linear models.

Purpose of the Study:

  • To investigate the emergence of a finite average velocity in a system of noninteracting Brownian particles.
  • To identify the underlying physical mechanism responsible for this velocity development.
  • To assess the relevance of this effect in specific physical scenarios.

Main Methods:

  • Theoretical analysis of the equations of motion for Brownian particles.
  • Inclusion of a small nonlinear correction to the dissipative force.

Related Experiment Videos

  • Analysis of the resulting coupled moment equations.

    • Main Results:

    • A finite systematic average velocity can temporarily develop from an initially zero state.
    • This effect arises from the coupling of the first velocity moment to higher-order moments.
    • The nonlinear correction to the dissipative force is the key driver.

    Conclusions:

    • Nonlinear dissipative forces can induce unexpected collective behavior in Brownian systems.
    • This phenomenon is particularly relevant for complex systems undergoing dissociation in viscous media under nonequilibrium conditions.
    • The findings offer insights into the dynamics of systems far from equilibrium.