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

Circulation-strain sum rule in stochastic magnetohydrodynamics.

L Moriconi1, F A S Nobre

  • 1Instituto de Física, Universidade Federal do Rio de Janeiro, Caixa Postal 68528, Rio de Janeiro, RJ 21945-970, Brazil.

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

Structural boundary state transitions in turbulent pipe flow.

Physical review. E·2026
Same author

Vortex polarization and circulation statistics in isotropic turbulence.

Physical review. E·2024
Same author

Statistics of extreme turbulent circulation events from multifractality breaking.

Physical review. E·2022
Same author

Circulation statistics and the mutually excluding behavior of turbulent vortex structures.

Physical review. E·2022
Same author

Multifractality breaking from bounded random measures.

Physical review. E·2021
Same author

Vortex gas modeling of turbulent circulation statistics.

Physical review. E·2020

We analyzed probability density functions for magnetohydrodynamics, finding algebraic decay in circulation tails. This reveals insights into fluid dynamics and magnetic field behavior in turbulent systems.

Area of Science:

  • Magnetohydrodynamics (MHD)
  • Turbulence theory
  • Statistical physics

Background:

  • Understanding the behavior of velocity and magnetic fields in MHD is crucial for various astrophysical and geophysical phenomena.
  • Probability density functions (PDFs) offer a statistical approach to characterize complex turbulent systems.
  • The inertial range in turbulence describes scales where energy cascades without significant dissipation or forcing.

Purpose of the Study:

  • To investigate the probability density functions (PDFs) of circulation for velocity and magnetic fields in MHD.
  • To analyze these PDFs within inertial range scales using advanced theoretical methods.
  • To explore the behavior of these PDFs in both viscous and vanishing viscosity limits.

Main Methods:

  • Utilized the instanton method adapted to the Martin-Siggia-Rose (MSR) field theory formalism.

Related Experiment Videos

  • Analyzed the viscous limit, verifying expected Gaussian behavior of fluctuations.
  • Employed fluctuations around quasistatic background fields to study the vanishing viscosity limit.

    • Main Results:

    • Confirmed Gaussian behavior of fluctuations in the viscous limit.
    • Derived a sum rule relating PDFs of circulation observables and the strain rate tensor in the vanishing viscosity limit.
    • Identified an algebraic decay of the form ρ(Γ) ∝ 1/Γ² in the tails of the circulation PDFs.

    Conclusions:

    • The study provides a theoretical framework for understanding circulation PDFs in MHD turbulence.
    • The derived sum rule offers a new relationship between different statistical observables.
    • The identified algebraic decay in PDF tails is a significant finding for characterizing extreme events in MHD.