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<front>
<journal-meta>
<journal-id journal-id-type="publisher">ANGEO</journal-id>
<journal-title-group>
<journal-title>Annales Geophysicae</journal-title>
<abbrev-journal-title abbrev-type="publisher">ANGEO</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Ann. Geophys.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1432-0576</issn>
<publisher><publisher-name>Springer Verlag</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.1007/s00585-997-0211-2</article-id>
<title-group>
<article-title>On storm weakening during substorm expansion phase</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Siscoe</surname>
<given-names>G. L.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Petschek</surname>
<given-names>H. E.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Center for Space Physics, Boston University, Boston, Massachusetts, USA</addr-line>
</aff>
<pub-date pub-type="epub">
<day>28</day>
<month>02</month>
<year>1997</year>
</pub-date>
<volume>15</volume>
<issue>2</issue>
<fpage>211</fpage>
<lpage>216</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 1997 G. L. Siscoe</copyright-statement>
<copyright-year>1997</copyright-year>
<license license-type="open-access">
<license-p>© European Geosciences Union 1997</license-p>
</license>
</permissions>
<self-uri xlink:href="https://angeo.copernicus.org/articles/15/211/1997/angeo-15-211-1997.html">This article is available from https://angeo.copernicus.org/articles/15/211/1997/angeo-15-211-1997.html</self-uri>
<self-uri xlink:href="https://angeo.copernicus.org/articles/15/211/1997/angeo-15-211-1997.pdf">The full text article is available as a PDF file from https://angeo.copernicus.org/articles/15/211/1997/angeo-15-211-1997.pdf</self-uri>
<abstract>
<p>Iyemori and Rao recently presented evidence
that the strength of a magnetic storm, as measured by -Dst, weakens,
or its rate of growth slows, during the substorm expansion phase. Yet the
expansion phase is known to inject energetic particles into the ring current,
which should strengthen the storm. We propose to reconcile these apparently
contradictory results by combining the virial theorem and a principle of energy
partitioning between energy storage elements in a system with dissipation. As
applied to the unloading description of the substorm expansion phase, the virial
theorem states that -Dst is proportional to the sum of the total magnetic energy
and twice the total kinetic energy in the magnetosphere including the tail. Thus
if expansion phase involves converting magnetic energy stored in the tail into
kinetic energy stored in the ring current, a drop in -Dst during expansion phase
requires that less than half the drop in magnetic energy goes into the ring
current, the rest going into the ionosphere. Indeed Weiss &lt;i&gt;et al.,&lt;/i&gt;
have estimated that the energy dissipated in the ionosphere during expansion
phase is twice that injected into the ring current. This conclusion is also
consistent with the mentioned energy partitioning principle, which requires that
more energy be dissipated than transferred between storage elements. While
Iyemori and Rao&apos;s observations seem to contradict the hypothesis that storms
consist at least in part of a sum of substorms, this mode of description might
nonetheless be preserved by including the substorm&apos;s growth-phase contribution.
Then the change in storm strength measured from before the growth phase to after
the expansion phase is positive, even though the expansion phase alone makes a
negative contribution.</p>
</abstract>
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