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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>
</journal-title-group>
<issn pub-type="epub">1432-0576</issn>
<publisher><publisher-name>Copernicus GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/angeo-27-1941-2009</article-id>
<title-group>
<article-title>Disruption of magnetospheric current sheet by quasi-electrostatic field</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Liu</surname>
<given-names>W. W.</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>Liang</surname>
<given-names>J.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Space Science Branch, Canadian Space Agency, Canada</addr-line>
</aff>
<pub-date pub-type="epub">
<day>04</day>
<month>05</month>
<year>2009</year>
</pub-date>
<volume>27</volume>
<issue>5</issue>
<fpage>1941</fpage>
<lpage>1950</lpage>
<permissions>
<license xlink:type="simple">
<license-p>This is an open-access article ditributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
</license>
</permissions>
<self-uri xlink:href="http://www.ann-geophys.net/27/1941/2009/angeo-27-1941-2009.html">This article is available from http://www.ann-geophys.net/27/1941/2009/angeo-27-1941-2009.html</self-uri>
<self-uri xlink:href="http://www.ann-geophys.net/27/1941/2009/angeo-27-1941-2009.pdf">The full text article is available as a PDF file from http://www.ann-geophys.net/27/1941/2009/angeo-27-1941-2009.pdf</self-uri>
<abstract>
<p>Recent observational evidence has indicated that local current
sheet disruptions are excited by an external perturbation likely associated with
the kinetic ballooning (KB) instability initiating at the transition region
separating the dipole- and tail-like geometries. Specifically a
quasi-electrostatic field pointing to the neutral sheet was identified in
the interval between the arrival of KB perturbation and local current
disruption. How can such a field drive the local current sheet unstable?
This question is considered through a fluid treatment of thin current sheet
(TCS) where the generalized Ohm&apos;s law replaces the frozen-in-flux condition.
A perturbation with the wavevector along the current is applied, and
eigenmodes with frequency much below the ion gyrofrequency are sought. We
show that the second-order derivative of ion drift velocity along the
thickness of the current sheet is a critical stability parameter. In an
E-field-free Harris sheet in which the drift velocity is constant, the
current sheet is stable against this particular mode. As the electrostatic
field grows, however, potential for instability arises. The threshold of
instability is identified through an approximate analysis of the theory. For
a nominal current sheet half-thickness of 1000 km, the estimated instability
threshold is &lt;I&gt;E&lt;/I&gt;~4 mV/m. Numerical solutions indicate that the two-fluid
theory gives growth rate and wave period consistent with observations.</p>
</abstract>
<counts><page-count count="10"/></counts>
</article-meta>
</front>
<body/>
<back>
<ref-list>
<title>References</title>
<ref id="ref1">
<label>1</label><mixed-citation publication-type="other" xlink:type="simple"> Asano, Y., Mikai, T., Hoshino, M., Saito, Y., Hayakawa, H., and Nagai, T.: Statistical study of thin current sheet evolution around substorm onset, J. Geophys., Res., 109, A05213, doi:10.1029/2004JA010413, 2004. </mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple"> Birn, J., Schindler, K., and Hesse, M.: Thin electron currents and their relation to auroral potentials, J. Geophys. Res., 109, A02217, doi:10.1029/2003JA010303, 2004. </mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple"> Cheng, C. Z. and Lui, A. T. Y.: Kinetic Ballooning Instability for Substorm Onset and Current Disruption Observed by AMPTE/CCE, Geophys. Res. Lett., 25(21), 4091–4094, 1998. </mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple"> Cheng, C. Z. and Zaharia, S.: MHD ballooning instability in the plasma sheet, Geophys. Res. Lett., 31, L06809, doi:10.1029/2003GL018823, 2004. </mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple"> Dahlburg, R. B., Antiochos, S. K., and Zang, T. A.: Secondary instability in three-dimensional magnetic reconnection, Phys. Fluids B, 4, 3902–3914, 1992. </mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple"> Daughton, W.: Two-fluid theory of the drift-kink instability, J. Geophys. Res., 104, 28701–28707, 1999. </mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple"> Donovan, E. F., Liu, W. W., Liang, J., et al.: Simultaneous THEMIS in-situ and auroral observations of a small substorm, Geophys. Res. Lett., 35, L17S18, doi:10.1029/2008GL033794, 2008. </mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple"> Hameiri, E., Laurent, P., and Mond, M.: The ballooning instability in space plasmas, J. Geophys. Res., 96, 1513–1526, 1991. </mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple"> Krall, N. A. and Trivelpiece, A. W.: Principles of Plasma Physics, p. 91, McGraw-Hill, New York, 1973. </mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple"> Lapenta, G. and Brackbill, J. U.: A kinetic theory for the drift-kink instability, J. Geophys. Res., 102, 27099–27108, 1997. </mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple"> Lee, L.-C., Zhang, L., Choe, G. S., and Cai, H. J.: Formation of a very thin current sheet in the near-Earth magnetotail and the explosive growth phase of substorms, Geophys. Res. Lett., 22, 1137–1140, 1995. </mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple"> Liang, J., Donovan, E. F., Liu, W. W., et al.: Intensification of preexisting auroral arc at substorm expansion phase onset: Wave-like disruption during the first tens of seconds, Geophys. Res. Lett., 35, L17S19, doi:10.1029/2008GL0336666, 2008. </mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple"> Liang, J., Liu, W., Donovan, E., and Spanswick, E.: In-situ observation of ULF wave activities associated with substorm expansion phase onset and current disruption, Ann. Geophys., in review, 2009. </mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple"> Liu, W. W.: Disruption of thin current sheets: A two-fluid theory, J. Geophys. Res., 102, 14331–14341, 1997a. </mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple"> Liu, W. W.: Physics of the explosive growth phase: Ballooning instability revisited, J. Geophys. Res., 102, 4927–4931, 1997b. </mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple"> Liu, W. W., Liang, J., and Donovan, E. F.: Interaction Between Kinetic Ballooning Perturbation and Thin Current Sheet: Quasi-Electrostatic Field, Local Onset, and Global Characteristics, Geophys. Res. Lett., 35, L20107, doi:10.1029/2008GL035757, 2008. </mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple"> Lui, A. T. Y.: A synthesis of magnetospheric substorm models, J. Geophys. Res., 96, 1849–1856, 1991. </mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple"> Lui, A. T. Y. and Burrows, J. R.: On the location of auroral arcs near substorm onsets, J. Geophys. Res., 83, 3342–3348, 1978. </mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple"> Mitchell, D. G., Williams, D. J., Huang, C. Y., Frank, L. A., and Russell, C. T.: Current carriers in the near-Earth cross-tail current sheet during substorm growth phase, Geophys. Res. Lett., 17, 583–586, 1990. </mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple"> Ohtani, S., Kokubun, S., and Russell, C. T.: Radial expansion of the tail current disruption during substorms: A new approach to the substorm onset region, J. Geophys. Res., 97, 3129–3136, 1992. </mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple"> Pritchett, P. L. and Coroniti, F. V.: Formation of thin current sheets during plasma sheet convection, J. Geophys. Res., 100, 23551–23565, 1995. </mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple"> Pritchett, P. L., Coroniti, F. V., and Decyk, V. K.: Three-dimensional stability of thin quasi-neutral current sheets, J. Geophys. Res., 101, 27413–27429, 1996. </mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple"> Pulkkinen, T. I., Baker, D. N., Cogger, L. L., Frank, L. A., Sigwarth, J. B., Kokubun, S., Mukai, T., Singer, H. J., Slavin, J. A., and Zelenyi, L.: Spatial extent and dynamics of a thin current sheet during the substorm growth phase on December 10, J. Geophys. Res., 104, 28475–28490, 1999. </mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple"> Roux, A., Perrault, S., Robert, P., Morane, A., Pedersen, A., Korth, A., Kremser, G., Aparicio, B., Rodgers, D., and Pellinen, R.: Plasma sheet instability related to the westward traveling surge, J. Geophys. Res., 96, 17697–17714, 1991. </mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple"> Runov, A., Sergeev, V. A., Nakamura, R., et al.: Local structure of the magnetotail current sheet: 2001 Cluster observations, Ann. Geophys., 24, 247–262, 2006. </mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple"> Saito, M. H., Miyashito, Y., Fujimoto, M., et al.: Ballooning mode waves prior to substorm-associated dipolarizations: Geotail observations, Geophys. Res. Lett., 35, L07103, doi:10.1029/2008GL033269, 2008a. </mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple"> Saito, M. H., Miyashita, Y., Fujimoto, M., Shinohara, I., Saito, Y., and Mukai, T.: Modes and characteristics of low-frequency MHD waves in the near-Earth magnetotail prior to dipolarization: Fitting method, J. Geophys. Res., 113, A06201, doi:10.1029/2007JA012778, 2008b. </mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple"> Samson, J. C., Lyons, L. R., Newell, P. T., Creutzberg, R. F., and Xu, B.: Proton aurora and substorm intensifications, Geophys. Res. Lett., 21, 2167–2170, 1992. </mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple"> Sanny, J., McPherron, R. L., Russell, C. T., Baker, D. N., Pulkkinen, T. I., and Nishida, A.: Growth-phase thinning of the near-Earth current sheet during the CDAW 6 substorm, J. Geophys. Res., 99, 5805–5816, 1994. </mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple"> Schindler, K. and Birn, J.: Models of two-dimensional embedded thin current sheet from Vlasov theory, J. Geophys. Res., 107, 1193, doi:10.1029/2001JA000304, 2002. </mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple"> Sergeev, V. A., Mitchell, D. G., Russell, C. T., and Williams, D. J.: Structure of the tail plasma/current sheet at $\sim $11 $R_E $ and its changes in the course of a substorm, J. Geophys. Res., 98, 17345–17365, 1993. </mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple"> Sitnov, M. I., Zelenyi, L., Malova, H. V., and Sharma, A. S.: Thin current sheet embedded within a thicker plasma sheet: Self-consistent theory, J. Geophys. Res., 105, 13029–13043, 2000. </mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple"> Zhu, Z. and Winglee, R. M.: Tearing instability, flux ropes, and the kinetic current sheet kink instability in the Earth:s magnetotial: A three-dimensional perspective from particle simulations, J. Geophys. Res., 101, 4885–4897, 1996. </mixed-citation>
</ref>
</ref-list>
</back>
</article>