Physics – Condensed Matter – Statistical Mechanics
Scientific paper
Feb 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985soph...95..269k&link_type=abstract
Solar Physics (ISSN 0038-0938), vol. 95, Feb. 1985, p. 269-280.
Physics
Condensed Matter
Statistical Mechanics
4
Coronal Loops, Magnetohydrodynamic Turbulence, Solar Activity, Solar Magnetic Field, Solar Velocity, Statistical Mechanics, Distribution Functions, Incompressible Fluids
Scientific paper
A statistical mechanics of the velocity and magnetic fields is formulated for an active region plasma. The plasma subjected to the conservation laws emerges in a most probable state which is described by an equilibrium distribution function containing a Lagrange multiplier for every invariant of the system. The Lagrange multipliers are determined by demanding that the measured expectation values of the invariants be reproduced. For a numerical exercise, some probable values are assumed for these invariants. The total energy of a coronal loop is estimated from energy balance considerations. Doppler widths of the UV and EUV lines excited in the coronal loop plasma give a measure of the root-mean-square velocities. Measurements of magnetic helicity are not available for the solar corona.
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