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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>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/angeo-31-1485-2013</article-id>
<title-group>
<article-title>Electron pitch-angle diffusion: resonant scattering by waves vs. nonadiabatic effects</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Artemyev</surname>
<given-names>A. V.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Orlova</surname>
<given-names>K. G.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Mourenas</surname>
<given-names>D.</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Agapitov</surname>
<given-names>O. V.</given-names>
<ext-link>https://orcid.org/0000-0001-6427-1596</ext-link>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Krasnoselskikh</surname>
<given-names>V. V.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>LPC2E/CNRS – University of Orleans, UMR7328, Orleans, France</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Space Research Institute, RAS, Moscow, Russian Federation</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Department of Earth and Space Sciences, University of California, Los Angeles, CA, USA</addr-line>
</aff>
<aff id="aff4">
<label>4</label>
<addr-line>Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, Russian Federation</addr-line>
</aff>
<aff id="aff5">
<label>5</label>
<addr-line>CEA, DAM, DIF, 91297, Arpajon, France</addr-line>
</aff>
<aff id="aff6">
<label>6</label>
<addr-line>National Taras Shevchenko University of Kiev, Kiev, Ukraine</addr-line>
</aff>
<pub-date pub-type="epub">
<day>05</day>
<month>09</month>
<year>2013</year>
</pub-date>
<volume>31</volume>
<issue>9</issue>
<fpage>1485</fpage>
<lpage>1490</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2013 A. V. Artemyev et al.</copyright-statement>
<copyright-year>2013</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions>
<self-uri xlink:href="https://angeo.copernicus.org/articles/31/1485/2013/angeo-31-1485-2013.html">This article is available from https://angeo.copernicus.org/articles/31/1485/2013/angeo-31-1485-2013.html</self-uri>
<self-uri xlink:href="https://angeo.copernicus.org/articles/31/1485/2013/angeo-31-1485-2013.pdf">The full text article is available as a PDF file from https://angeo.copernicus.org/articles/31/1485/2013/angeo-31-1485-2013.pdf</self-uri>
<abstract>
<p>In this paper we investigate the electron pitch-angle diffusion coefficients
in the night-side inner magnetosphere around the geostationary orbit (&lt;I&gt;L&lt;/I&gt; ~ 7) due to magnetic field deformation. We compare the effects of resonant
wave–particle scattering by lower band chorus waves and the adiabaticity
violation of electron motion due to the strong curvature of field lines in
the vicinity of the equator. For a realistic magnetic field configuration,
the nonadiabatic effects are more important than the wave–particle
interactions for high energy (&amp;gt; 1 MeV) electrons. For smaller energy, the
scattering by waves is more effective than nonadiabatic one. Moreover, the
role of nonadiabatic effects increases with particle energy. Therefore, to
model electron scattering and transport in the night-side inner
magnetosphere, it is important to take into account the peculiarities of
high-energy electron dynamics.</p>
</abstract>
<counts><page-count count="6"/></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">Agapitov, O., Artemyev, A., Krasnoselskikh, V., Khotyaintsev, Y. V., Mourenas, D., Breuillard, H., Balikhin, M., and Rolland, G.: Statistics of Whistler-Mode Waves in the Outer Radiation Belt: Cluster STAFF-SA measurements, J. Geophys. Res., 118, 3407–3420, &lt;a href=&quot;http://dx.doi.org/10.1002/jgra.50312&quot;&gt;https://doi.org/10.1002/jgra.50312&lt;/a&gt;, 2013.</mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple">Artemyev, A. V., Mourenas, D., Agapitov, O. V., and Krasnoselskikh, V. V.: Parametric validations of analytical lifetime estimates for radiation belt electron diffusion by whistler waves, Ann. Geophys., 31, 599–624, &lt;a href=&quot;http://dx.doi.org/10.5194/angeo-31-599-2013&quot;&gt;https://doi.org/10.5194/angeo-31-599-2013&lt;/a&gt;, 2013.</mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple">Birmingham, T. J.: Pitch angle diffusion in the Jovian magnetodisc, J. Geophys. Res., 89, 2699–2707, &lt;a href=&quot;http://dx.doi.org/10.1029/JA089iA05p02699&quot;&gt;https://doi.org/10.1029/JA089iA05p02699&lt;/a&gt;, 1984.</mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple">Borovsky, J. E. and Denton, M. H.: Magnetic field at geosynchronous orbit during high-speed stream-driven storms: Connections to the solar wind, the plasma sheet, and the outer electron radiation belt, J. Geophys. Res., 115, A08217, &lt;a href=&quot;http://dx.doi.org/10.1029/2009JA015116&quot;&gt;https://doi.org/10.1029/2009JA015116&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple">Chen, L., Thorne, R. M., Li, W., and Bortnik, J.: Modeling the Wave Normal Distribution of Chorus Waves, J. Geophys. Res.: Space Physics, 118, 1074–1088, &lt;a href=&quot;http://dx.doi.org/10.1029/2012JA018343&quot;&gt;https://doi.org/10.1029/2012JA018343&lt;/a&gt;, 2013.</mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple">Chirikov, B. V.: A universal instability of many-dimensional oscillator systems, Physics Reports, 52, 263–379, &lt;a href=&quot;http://dx.doi.org/10.1016/0370-1573(79)90023-1&quot;&gt;https://doi.org/10.1016/0370-1573(79)90023-1&lt;/a&gt;, 1979.</mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple">Daglis, I. A., Thorne, R. M., Baumjohann, W., and Orsini, S.: The terrestrial ring current: Origin, formation, and decay, Rev. Geophys., 37, 407–438, &lt;a href=&quot;http://dx.doi.org/10.1029/1999RG900009&quot;&gt;https://doi.org/10.1029/1999RG900009&lt;/a&gt;, 1999.</mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple">Delcourt, D. C., Martin Jr., R. F., and Alem, F.: A simple model of magnetic moment scattering in a field reversal, Geophys. Res. Lett., 21, 1543–1546, &lt;a href=&quot;http://dx.doi.org/10.1029/94GL01291&quot;&gt;https://doi.org/10.1029/94GL01291&lt;/a&gt;, 1994.</mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple">Dubyagin, S., Sergeev, V., Apatenkov, S., Angelopoulos, V., Runov, A., Nakamura, R., Baumjohann, W., McFadden, J., and Larson, D.: Can flow bursts penetrate into the inner magnetosphere?, Geophys. Res. Lett., 38, L08102, &lt;a href=&quot;http://dx.doi.org/10.1029/2011GL047016&quot;&gt;https://doi.org/10.1029/2011GL047016&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple">Dubyagin, S., Ganushkina, N., Apatenkov, S., Kubyshkina, M., Singer, H., and Liemohn, M.: Geometry of duskside equatorial current during magnetic storm main phase as deduced from magnetospheric and low-altitude observations, Ann. Geophys., 31, 395–408, &lt;a href=&quot;http://dx.doi.org/10.5194/angeo-31-395-2013&quot;&gt;https://doi.org/10.5194/angeo-31-395-2013&lt;/a&gt;, 2013.</mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple">Glauert, S. A. and Horne, R. B.: Calculation of pitch angle and energy diffusion coefficients with the PADIE code, J. Geophys. Res., 110, A04206, &lt;a href=&quot;http://dx.doi.org/10.1029/2004JA010851&quot;&gt;https://doi.org/10.1029/2004JA010851&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple">Il&apos;ina, A. N., Il&apos;in, V. D., Kuznetsov, S. N., Yushkov, B. Y., Amirkhanov, I. V., and Il&apos;In, I. V.: Model of nonadiabatic charged-particle motion in the field of a magnetic dipole, Soviet JETP, 77, 246–252, 1993.</mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple">Kennel, C. F. and Petschek, H. E.: Limit on Stably Trapped Particle Fluxes, J. Geophys. Res., 71, 1–28, &lt;a href=&quot;http://dx.doi.org/10.1029/2009JA014523&quot;&gt;https://doi.org/10.1029/2009JA014523&lt;/a&gt;, 1966.</mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple">Kim, K. C., Lee, D.-Y., Kim, H.-J., Lee, E. S., and Choi, C. R.: Numerical estimates of drift loss and Dst effect for outer radiation belt relativistic electrons with arbitrary pitch angle, J. Geophys. Res., 115, A03208, &lt;a href=&quot;http://dx.doi.org/10.1029/2009JA014523&quot;&gt;https://doi.org/10.1029/2009JA014523&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple">Landau, L. D. and Lifshitz, E. M.: Vol. 1: Mechanics, Course of Theoretical Physics, Oxford: Pergamon, 1988.</mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple">Le, G., Russell, C. T., and Takahashi, K.: Morphology of the ring current derived from magnetic field observations, Ann. Geophys., 22, 1267–1295, &lt;a href=&quot;http://dx.doi.org/10.5194/angeo-22-1267-2004&quot;&gt;https://doi.org/10.5194/angeo-22-1267-2004&lt;/a&gt;, 2004.</mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple">Ma, Q., Ni, B., Tao, X., and Thorne, R. M.: Evolution of the plasma sheet electron pitch angle distribution by whistler-mode chorus waves in non-dipole magnetic fields, Ann. Geophys., 30, 751–760, &lt;a href=&quot;http://dx.doi.org/10.5194/angeo-30-751-2012&quot;&gt;https://doi.org/10.5194/angeo-30-751-2012&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple">Meredith, N. P., Horne, R. B., Sicard-Piet, A., Boscher, D., Yearby, K. H., Li, W., and Thorne, R. M.: Global model of lower band and upper band chorus from multiple satellite observations, J. Geophys. Res., 117, A10225, &lt;a href=&quot;http://dx.doi.org/10.1029/2012JA017978&quot;&gt;https://doi.org/10.1029/2012JA017978&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple">Mourenas, D., Artemyev, A. V., Agapitov, O. V., and Krasnoselskikh, V. V.: Analytical estimates of electron quasi-linear diffusion by fast magnetosonic waves, J. Geophys. Res., 118, 3096–3112, &lt;a href=&quot;http://dx.doi.org/10.1002/jgra.50349&quot;&gt;https://doi.org/10.1002/jgra.50349&lt;/a&gt;, 2013, 2013.</mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple">Newkirk, L. L. and Walt, M.: Longitudinal Drift Velocity of Geomagnetically Trapped Particles, J. Geophys. Res., 69, 1759–1763, &lt;a href=&quot;http://dx.doi.org/10.1029/JZ069i009p01759&quot;&gt;https://doi.org/10.1029/JZ069i009p01759&lt;/a&gt;, 1964.</mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple">Orlova, K. G. and Shprits, Y. Y.: Dependence of pitch-angle scattering rates and loss timescales on the magnetic field model, Geophys. Res. Lett., 37, L05105, &lt;a href=&quot;http://dx.doi.org/10.1029/2009GL041639&quot;&gt;https://doi.org/10.1029/2009GL041639&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple">Orlova, K. G. and Shprits, Y. Y.: On the bounce-averaging of scattering rates and the calculation of bounce period, Phys. Plasmas, 18, 092904, &lt;a href=&quot;http://dx.doi.org/10.1063/1.3638137&quot;&gt;https://doi.org/10.1063/1.3638137&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple">Orlova, K. G., Shprits, Y. Y., and Ni, B.: Bounce-averaged diffusion coefficients due to resonant interaction of the outer radiation belt electrons with oblique chorus waves computed in a realistic magnetic field model, J. Geophys. Res., 117, A07209, &lt;a href=&quot;http://dx.doi.org/10.1029/2012JA017591&quot;&gt;https://doi.org/10.1029/2012JA017591&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple">Shklyar, D. and Matsumoto, H.: Oblique Whistler-Mode Waves in the Inhomogeneous Magnetospheric Plasma: Resonant Interactions with Energetic Charged Particles, Surv. Geophys., 30, 55–104, &lt;a href=&quot;http://dx.doi.org/10.1007/s10712-009-9061-7&quot;&gt;https://doi.org/10.1007/s10712-009-9061-7&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple">Shprits, Y. Y., Meredith, N. P., and Thorne, R. M.: Parameterization of radiation belt electron loss timescales due to interactions with chorus waves, Geophys. Res. Lett., 34, L11110, &lt;a href=&quot;http://dx.doi.org/10.1029/2006GL029050&quot;&gt;https://doi.org/10.1029/2006GL029050&lt;/a&gt;, 2007.</mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple">Shprits, Y. Y., Subbotin, D. A., Meredith, N. P., and Elkington, S. R.: Review of modeling of losses and sources of relativistic electrons in the outer radiation belt II: Local acceleration and loss, J. Atmos. Solar-Terr. Phys., 70, 1694–1713, &lt;a href=&quot;http://dx.doi.org/10.1016/j.jastp.2008.06.014&quot;&gt;https://doi.org/10.1016/j.jastp.2008.06.014&lt;/a&gt;, 2008.</mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple">Sitnov, M. I., Tsyganenko, N. A., Ukhorskiy, A. Y., and Brandt, P. C.: Dynamical data-based modeling of the storm-time geomagnetic field with enhanced spatial resolution, J. Geophys. Res., 113, A07218, &lt;a href=&quot;http://dx.doi.org/10.1029/2007JA013003&quot;&gt;https://doi.org/10.1029/2007JA013003&lt;/a&gt;, 2008.</mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple">Tsyganenko, N. A., Singer, H. J., and Kasper, J. C.: Storm-time distortion of the inner magnetosphere: How severe can it get?, J. Geophys. Res., 108, 1209, &lt;a href=&quot;http://dx.doi.org/10.1029/2002JA009808&quot;&gt;https://doi.org/10.1029/2002JA009808&lt;/a&gt;, 2003.</mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple">Ukhorskiy, A. Y. and Sitnov, M. I.: Dynamics of Radiation Belt Particles, Space Sci. Rev., &lt;a href=&quot;http://dx.doi.org/10.1007/s11214-012-9938-5&quot;&gt;https://doi.org/10.1007/s11214-012-9938-5&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple">Vapirev, A. E. and Jordanova, V. K.: Calculation of bounce-averaged velocities and hydrogen densities for a storm-time magnetic field, Geophys. Res. Lett., 34, L10103, &lt;a href=&quot;http://dx.doi.org/10.1029/2007GL029380&quot;&gt;https://doi.org/10.1029/2007GL029380&lt;/a&gt;, 2007.</mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple">Young, S. L., Denton, R. E., Anderson, B. J., and Hudson, M. K.: Empirical model for μ scattering caused by field line curvature in a realistic magnetosphere, J. Geophys. Res., 107, 1069, &lt;a href=&quot;http://dx.doi.org/10.1029/2000JA000294&quot;&gt;https://doi.org/10.1029/2000JA000294&lt;/a&gt;, 2002.</mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple">Young, S. L., Denton, R. E., Anderson, B. J., and Hudson, M. K.: Magnetic field line curvature induced pitch angle diffusion in the inner magnetosphere, J. Geophys. Res., 113, 3210, &lt;a href=&quot;http://dx.doi.org/10.1029/2006JA012133&quot;&gt;https://doi.org/10.1029/2006JA012133&lt;/a&gt;, 2008.</mixed-citation>
</ref>
</ref-list>
</back>
</article>