Dissipation of Kinetic Energy in a Magnetic Dynamo

Details Dissipation of Kinetic Energy in a Magnetic Dynamo Dissipation of Kinetic Energy in a Magnetic Dynamo

Apr 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002gapfd..96..345n&link_type=abstract

Geophysical and Astrophysical Fluid Dynamics, vol. 96, Issue 4, p.345-352

Physics

Fluid Dynamics

1

Scientific paper

In a dynamo the magnetic field grows exponentially for some time. If there is no energy injected into the system, this growth must be done at the expense of the plasma kinetic energy. It is proved that for a certain growth rate, the kinetic energy decreases at least by a fixed amount independent of how large the magnetic field is; hence velocity fields allowing dynamos posses a minimum rate of dissipation. The key of the proof is a new inequality on the induction equation.

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