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Encyclopedia > Magnetic helicity

this page is about helicity in magnetic fields. For fluid mechanical helicity, see helicity


In electromagnetism, magnetic helicity is the extent to which a magnetic field "wraps around itself". If magnetic field lines follow the strands of a twisted rope, this configuration would have nonzero magnetic helicity; left handed ropes would have negative values and right handed ropes would have positive values.


Formally,

where


is the magnetic field strength


Where is the vector potential of


Magnetic helicity is a conserved quantity. It is conserved in electromagnetic fields, even when magnetic reconnection dissipates energy. The concept is useful when considering solar dynamics.


  Results from FactBites:
 
Dynamo Conference, NATO 2000, Cargese, participants and abstracts (9552 words)
The magnetic helicity is a fundamental quantity in magnetohydrodynamics because it is conserved in the limit of infinite electrical conductivity.
The reason for the anomalous scalings of the magnetic helicity correlation function is that the magnetic field in the equation for the two-point correlation function of the magnetic helicity plays a role of a pumping with anomalous scalings.
Magnetic fields exhibit dipolar, quadrupolar or hemispherical structures as long as convection in the polar regions of the spherical fluid shells is inhibited owing to a sufficiently high rate of rotation.
Recent Reprints (1307 words)
This paper reviews several aspects of magnetic helicity, including its history from Gauss to the present, its relation to field structure, its role in Taylor relaxation, and how it is defined for sub-volumes of space.
Magnetic helicity is conserved in ideal MHD and approximately conserved during reconnection.
In recent years, solar observers have discovered a striking pattern in the distribution of coronal magnetic structures: northern hemisphere structures tend to have negative magnetic helicity, while structures in the south tend to have positive magnetic helicity.
  More results at FactBites »


 

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