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

Exact solution for single-scale Gaussian random transport.

James P Gleeson1

  • 1Department of Applied Mathematics, University College, Cork, Ireland. j.gleeson@ucc.ie

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 23, 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

Detecting changepoints in dynamical systems: Modeling time-varying transmission of seasonal influenza.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same author

Self-Reinforcing Cascades: A Spreading Model for Beliefs or Products of Varying Intensity or Quality.

Physical review letters·2025
Same author

Time-dependent influence metric for cascade dynamics on networks.

Physical review. E·2025
Same author

Effectiveness of contact tracing on networks with cliques.

Physical review. E·2024
Same author

Agent-based null models for examining experimental social interaction networks.

Scientific reports·2023
Same author

Multitype branching process method for modeling complex contagion on clustered networks.

Physical review. E·2022
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 derives a quadrature expression for passive tracer probability density functions in a 1D Gaussian velocity field. It demonstrates how trapping affects tracer moments and Lagrangian velocity variance.

Area of Science:

  • Fluid dynamics
  • Statistical mechanics
  • Transport phenomena

Background:

  • Understanding tracer transport is crucial in various scientific fields.
  • Passive tracers are used to study fluid flow patterns.
  • Previous models often simplify velocity field characteristics.

Purpose of the Study:

  • To derive a quadrature expression for the probability density function (PDF) of passive tracers.
  • To analyze tracer advection in a one-dimensional, single-scale, Gaussian velocity field.
  • To explicitly demonstrate the impact of trapping on tracer moments and Lagrangian velocity variance.

Main Methods:

  • Derivation of a quadrature expression for the tracer PDF.
  • Analysis of a one-dimensional, single-scale, Gaussian velocity field.

Related Experiment Videos

  • Investigating the effects of trapping phenomena on tracer dynamics.

    • Main Results:

    • A novel quadrature expression for the tracer PDF was successfully derived.
    • The study explicitly shows how trapping influences tracer moments.
    • The effect of trapping on Lagrangian velocity variance is clearly demonstrated.

    Conclusions:

    • The derived quadrature expression provides a new analytical tool for tracer transport studies.
    • Trapping significantly impacts the statistical properties of passive tracers.
    • This work enhances the understanding of tracer behavior in complex velocity fields.