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Coronal loop widths and pressure scale heights
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Coronal loop widths and pressure scale heights
G.J.D. Petrie
National Solar Observatory, Tucson, AZ 85719
ABSTRACT
The scale heights of stratification and the widths of steady solar coronal loops
exhibit properties unexplained by standard theory: observed scale heights are
often much greater than static theory predicts, while the nearly-constant widths
of loop emission signatures defy theoretical expectations for large flux tubes in
stratified media. In this work we relate the cross-sectional profile of a coronal
flux tube to its density scale height in steady-state plasma flow regimes. Steady
flows may shorten or lengthen the scale height according to how the tube cross-
sectional area varies with arclength. In a near-potential corona the flux tubes are
expected to be sufficiently expansive in many active regions for scale heights to
be increased by steady flows. On the other hand, cases where scale lengths are
actually increased to observed sizes form a small part of the solution space, close
to regimes where density profiles reverse. Therefore, although steady flows are the
only steady process known to be capable of extending scale heights significantly,
they are not expected to be not responsible for the majority of extended active
region scale heights.
Subject headings: hydrodynamics; methods: analytical; Sun: corona; Sun: mag-
netic fields
1. Introduction
In the solar corona, closed plasma loops are believed to trace lines of magnetic force
that penetrate the photosphere from below and expand to fill the coronal volume above
an active region (Bray et al. 1991, Aschwanden 2004). They are curved filamentary struc-
tures connecting regions of opposite magnetic polarity. Plasma loops are often observed
as isolated brightened flux tubes embedded in a less emissive but more homogeneous field
configuration. A broad consensus has developed that coronal loops are nearly isothermal
along their arclengt
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