Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Magnetostatic Boundary Conditions

Magnetostatic Boundary Conditions

An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...

Divergence and Curl of Magnetic Field

Divergence and Curl of Magnetic Field

The magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows:

Symmetry in Maxwell's Equations

Symmetry in Maxwell's Equations

Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...

Magnetic Fields

Magnetic Fields

A moving charge or a current creates a magnetic field in the surrounding space, in addition to its electric field. The magnetic field exerts a force on any other moving charge or current that is present in the field. Like an electric field, the magnetic field is also a vector field. At any position, the direction of the magnetic field is defined as the direction in which the north pole of a compass needle points.
A magnetic field is defined by the force that a charged particle experiences...

Magnetic Field Lines

Magnetic Field Lines

The representation of magnetic fields by magnetic field lines is very useful in visualizing the strength and direction of the magnetic field. Each of the magnetic field lines forms a closed loop. The field lines emerge from the north pole (N), loop around to the south pole (S), and continue through the bar magnet back to the north pole.
Magnetic field lines follow several hard-and-fast rules:

Magnetic Susceptibility and Permeability

Magnetic Susceptibility and Permeability

In linear magnetic materials, like paramagnets and diamagnets, magnetization is proportional to the magnetic field intensity. The constant of proportionality, a dimensionless number, is called magnetic susceptibility. The value of the susceptibility depends on the type of material.
When diamagnetic materials are placed under an external magnetic field, the moments opposite to the field are induced. Hence, the susceptibility for diamagnets has a minimal negative value of 10-5–10-6. Since...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Statistical Equilibrium Principles in 2D Fluid Flow: From Geophysical Fluids to the Solar Tachocline.

Entropy (Basel, Switzerland)·2023

Same author

Deep water acoustic range estimation based on an ocean general circulation model: Application to PhilSea10 data.

The Journal of the Acoustical Society of America·2020

Same author

Rotating shallow water dynamics: extra invariant and the formation of zonal jets.

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

Same author

Critical dynamics of the dirty boson problem: revisiting the equality z=d.

Physical review letters·2007

Same author

Sonar pulse wave form optimization in cluttered environments.

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

Same author

Second-sound spectroscopy of a nonequilibrium superfluid-normal interface.

Physical review letters·2006

Search research articles

Related Experiment Video

Updated: May 14, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Long-range correlations and coherent structures in magnetohydrodynamic equilibria.

Peter B Weichman¹

¹BAE Systems, Advanced Information Technologies, 6 New England Executive Park, Burlington, Massachusetts 01803, USA.

Physical Review Letters

|February 2, 2013

Summary

This study derives the 2D magnetohydrodynamic equations, revealing long-ranged correlations between magnetic and velocity fields. These findings describe coherent structures like eddies and jets, impacting solar tachocline simulations.

More Related Videos

Magnetically Induced Rotating Rayleigh-Taylor Instability

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package

Published on: September 17, 2021

Related Experiment Videos

Last Updated: May 14, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Magnetically Induced Rotating Rayleigh-Taylor Instability

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package

Published on: September 17, 2021

Area of Science:

Plasma Physics
Fluid Dynamics
Astrophysics

Background:

The 2D magnetohydrodynamic (MHD) equations govern plasma behavior.
Previous variational treatments used simplified assumptions for thermodynamic distributions.
Understanding coherent structures in MHD is crucial for astrophysical phenomena.

Purpose of the Study:

To derive the equilibrium theory of 2D MHD equations.
To investigate the nature of conserved integrals and field correlations.
To compare new findings with previous variational approaches and pure fluid equilibria.

Main Methods:

Derivation of the full infinite hierarchies of conserved integrals for 2D MHD.
Development of an exact description using coupled elastic membranes.
Analysis of long-ranged correlations between magnetic and velocity fields.

Main Results:

An exact description emerges in terms of two coupled elastic membranes.
Long-ranged correlations between magnetic and velocity fields are identified.
Coherent structures, including compact eddies and zonal jets, are observed, similar to pure fluid equilibria.

Conclusions:

The derived theory offers a novel perspective on 2D MHD equilibria.
Findings differ significantly from previous variational treatments.
The results have implications for understanding phenomena like the solar tachocline.