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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Astron. Space Sci.</journal-id>
<journal-title>Frontiers in Astronomy and Space Sciences</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Astron. Space Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-987X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">737946</article-id>
<article-id pub-id-type="doi">10.3389/fspas.2021.737946</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Astronomy and Space Sciences</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Two-Dimensional Structure of Flow Channels and Associated Upward Field-Aligned Currents: Model and Observations</article-title>
<alt-title alt-title-type="left-running-head">Lyons et&#x20;al.</alt-title>
<alt-title alt-title-type="right-running-head">Flow Channel Two-Dimensional Structure</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Lyons</surname>
<given-names>Larry. R.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1176671/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Nishimura</surname>
<given-names>Yukitoshi</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1026871/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Chih-Ping</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1258053/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Jiang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Bristow</surname>
<given-names>William. A.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<label>
<sup>1</sup>
</label>Department of Atmospheric and Oceanic Sciences, University of California Los Angeles, <addr-line>Los Angeles</addr-line>, <addr-line>CA</addr-line>, <country>United&#x20;States</country>
</aff>
<aff id="aff2">
<label>
<sup>2</sup>
</label>Center for Space Physics and Department of Electrical and Computer Engineering, Boston University, <addr-line>Boston</addr-line>, <addr-line>MA</addr-line>, <country>United&#x20;States</country>
</aff>
<aff id="aff3">
<label>
<sup>3</sup>
</label>Department of Earth, Planetary, and Space Sciences, University of California Los Angeles, <addr-line>Los Angeles</addr-line>, <addr-line>CA</addr-line>, <country>United&#x20;States</country>
</aff>
<aff id="aff4">
<label>
<sup>4</sup>
</label>Department of Meteorology and Atmospheric Science, 621 Walker Building, The Pennsylvania State University, <addr-line>State College</addr-line>, <addr-line>PA</addr-line>, <country>United&#x20;States</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/224486/overview">Jiansen He</ext-link>, Peking University, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1401471/overview">Yiqun Yu</ext-link>, Beihang University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/119321/overview">Alexei. V. Dmitriev</ext-link>, Lomonosov Moscow State University, Russia</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Larry. R. Lyons, <email>larry@atmos.ucla.edu</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Space Physics, a section of the journal Frontiers in Astronomy and Space Sciences</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>31</day>
<month>08</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>8</volume>
<elocation-id>737946</elocation-id>
<history>
<date date-type="received">
<day>07</day>
<month>07</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>12</day>
<month>08</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2021 Lyons, Nishimura, Wang, Liu and Bristow.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Lyons, Nishimura, Wang, Liu and Bristow</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>Flow bursts are a major component of transport within the plasma sheet and auroral oval (where they are referred to as flow channels), and lead to a variety of geomagnetic disturbances as they approach the inner plasma sheet (equatorward portion of the auroral oval). However, their two-dimensional structure as they approach the inner plasma sheet has received only limited attention. We have examined this structure using both the Rice Convection Model (RCM) and ground-based radar and all sky imager observations. As a result of the energy dependent magnetic drift, the low entropy plasma of a flow burst spreads azimuthally within the inner plasma sheet yielding specific predictions of subauroral polarization stream (SAPS) and dawnside auroral polarization stream (DAPS) enhancements that are related to the field-aligned currents associated with the flow channel. Flow channels approximately centered between the dawn and dusk large-scale convection cells are predicted to give significant enhancements of both SAPS and DAPS, whereas flow channel further toward the dusk (dawn) convection cell show a far more significant enhancement of SAPS (DAPS) than for DAPS (SAPS). We present observations for cases having good coverage of flow channels as they approach the equatorward portion of the auroral oval and find very good qualitative agreement with the above RCM predictions, including the predicted differences with respect to flow burst location. Despite there being an infinite variety of flow channels&#x2019; plasma parameters and of background plasma sheet and auroral oval conditions, the observations show the general trends predicted by the RCM simulations with the idealized parameters. This supports that RCM predictions of the azimuthal spread of a low-entropy plasma sheet plasma and its associated FAC and flow responses give a realistic physical description of the structure of plasma sheet flow bursts (auroral oval flow channels) as they reach the inner plasma sheet (near the equatorward edge of the auroral oval).</p>
</abstract>
<kwd-group>
<kwd>flow channels</kwd>
<kwd>flow bursts</kwd>
<kwd>saps</kwd>
<kwd>dawnside polarization stream</kwd>
<kwd>convection</kwd>
<kwd>aurora</kwd>
</kwd-group>
<contract-num rid="cn001">FA9559-16-1-0364</contract-num>
<contract-num rid="cn002">80NSSC20K1314</contract-num>
<contract-sponsor id="cn001">Air Force Office of Scientific Research<named-content content-type="fundref-id">10.13039/100000181</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">National Aeronautics and Space Administration<named-content content-type="fundref-id">10.13039/100000104</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>Bursts of flows with an equatorward component are seen within the nightside auroral oval (<xref ref-type="bibr" rid="B40">Sergeev et&#x20;al., 1990</xref>; <xref ref-type="bibr" rid="B56">Kauriste et&#x20;al., 1996</xref>; <xref ref-type="bibr" rid="B52">Yeoman &#x26; L&#xfc;hr, 1999</xref>), these being the ionospheric counterpart of earthward flow bursts in the plasma sheet (<xref ref-type="bibr" rid="B1">Angelopoulos et&#x20;al., 1992</xref>). Within flow bursts, flux tubes with lower total entropy than the surrounding plasma are brought earthward via interchange motion as seen in both theory (e.g., <xref ref-type="bibr" rid="B37">Pontius &#x26; Wolf, 1990</xref>; <xref ref-type="bibr" rid="B51">Yang et&#x20;al., 2011</xref>) and observations (e.g., <xref ref-type="bibr" rid="B2">Angelopoulos et&#x20;al., 1994</xref>; <xref ref-type="bibr" rid="B8">Dubyagin et&#x20;al., 2010</xref>; <xref ref-type="bibr" rid="B36">Panov et&#x20;al., 2010</xref>; <xref ref-type="bibr" rid="B49">Xing et&#x20;al., 2010</xref>; <xref ref-type="bibr" rid="B41">Sergeev et&#x20;al., 2012</xref>).</p>
<p>Flow bursts in the ionosphere (often referred to &#x201c;meso-scale&#x201d; flow channels) drive convergence of ionospheric currents to the right of their the flow direction. This convergence is related via current continuity to upward field-aligned currents (FACs) that can require magnetic-field-aligned electric fields that energize electrons and form discrete aurora (e.g., <xref ref-type="bibr" rid="B29">Lyons, 1981</xref>). This gives rise to intensifications along the poleward boundary of the auroral oval (<xref ref-type="bibr" rid="B7">de la Beaujardi&#xe8;re et&#x20;al., 1994</xref>; <xref ref-type="bibr" rid="B26">Lyons et&#x20;al., 1999</xref>; <xref ref-type="bibr" rid="B54">Zesta et&#x20;al., 2000</xref>) that are the most common auroral disturbance and have become referred to as poleward boundary intensifications (PBIs). PBIs can extend equatorward from the poleward boundary of the auroral oval along with the meso-scale flow bursts and become elongated in very roughly the north-south direction forming what are referred to as streamers (<xref ref-type="bibr" rid="B39">Rostoker et&#x20;al., 1987</xref>; <xref ref-type="bibr" rid="B32">Nakamura et&#x20;al., 1993</xref>; <xref ref-type="bibr" rid="B10">Gallardo-Lacourt et&#x20;al., 2014</xref>).</p>
<p>Flow bursts in the ionosphere have also been observed to lead to a variety of other important geomagnetic disturbances as the reach to near the equatorward boundary of the auroral oval, which maps to the inner plasma sheet. These disturbances include thin substorm growth phase aurora arc formation or intensification (<xref ref-type="bibr" rid="B33">Nishimura et&#x20;al., 2011</xref>), substorm onset (e.g., <xref ref-type="bibr" rid="B34">Nishimura et&#x20;al., 2010</xref>), and omega bands (<xref ref-type="bibr" rid="B15">Henderson et&#x20;al., 2002</xref>; <xref ref-type="bibr" rid="B20">Liu et&#x20;al., 2018</xref>). Flow bursts moving earthward/equatorward are also important because they can give particle injections (<xref ref-type="bibr" rid="B9">Gabrielse et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B18">Liu et&#x20;al., 2016</xref>), including into the storm-time ring current e.g., <xref ref-type="bibr" rid="B9">Gkioulidou et&#x20;al. (2014)</xref> and radiation belts (e.g., <xref ref-type="bibr" rid="B16">Kim et&#x20;al., 2021</xref>).</p>
<p>Thus the physics of flow bursts as they move earthward within the plasma sheet is of critical importance to understanding geomagnetic activity. Evaluation of flow bursts from an ideal MHD perspective e.g., <xref ref-type="bibr" rid="B3">Birn and Hesse (2013)</xref>, <xref ref-type="bibr" rid="B4">Birn and Hesse (2014)</xref> has yielded much insight into flow burst dynamics in the more distant magnetotail, but is not appropriate for investigation of what happens as the flowing plasma encounters the inner plasma sheet where magnetic drift becomes significant. In ideal MHD, flow bursts come to rest where the flux tube integrated entropy of the plasma within the flow burst equals that of the background plasma (<xref ref-type="bibr" rid="B48">Wolf et&#x20;al., 2012</xref>). However, the energy dependence of magnetic drift should dramatically change this result. As predicted by the Rice Convection Model (RCM), the low entropy plasma should spread azimuthally, be accompanied by substantial azimuthal drift (<xref ref-type="bibr" rid="B50">Yang et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B53">Yu et&#x20;al., 2017</xref>), and lead to a substantial reduction of flux tube integrated entropy as plasma moves earthward (<xref ref-type="bibr" rid="B30">Lyons et&#x20;al., 2009</xref>; <xref ref-type="bibr" rid="B45">Wang et&#x20;al., 2018a</xref>; <xref ref-type="bibr" rid="B47">Wang et&#x20;al., 2020</xref>).</p>
<p>This paper provides an observational test of the RCM predictions of the fate of the reduced entropy, flow burst plasma as it enters the near-Earth plasma sheet. We base our test on the <xref ref-type="bibr" rid="B45">Wang et&#x20;al. (2018)</xref> RCM results. The model gives predictions of azimuthal flow relative to upward FAC regions when a localized plasma perturbation is introduced into the outer plasma sheet and leads to a reduced entropy plasma bubble. The model also shows important differences in response when these perturbations are introduced at three different MLTs relative to the near midnight model boundary between the large-scale dusk and dawn convection cells. Our test uses observations of upward FACs and flows within the ionosphere. The upward FACs are inferred from the aurora obtained primarily from the Time History of Events and Macroscale Interactions during Substorms (THEMIS) white-light all sky imager (ASI) array, which offers continent-scale coverage of the North American auroral zone with high temporal and spatial resolution (<xref ref-type="bibr" rid="B31">Mende et&#x20;al., 2008</xref>). Poker Flat 557.7&#xa0;nm ASI observations are included for events over Alaska. Flows are identified from Super Dual Auroral Radar Network (SuperDARN) observations, and presented as maps of flow vectors obtained with the <xref ref-type="bibr" rid="B5">Bristow et&#x20;al. (2016)</xref> technique. This technique gives spatial resolution set by that of the underlying measurements and not by the smoothing from the global fits that are typically used for global SuperDARN convection maps. The resulting vectors are determined by the local line-of-sight (LOS) observations and the divergence-free condition. They are not strongly influenced by information beyond a distance of a few grids, so that localized steep gradients can be represented without influencing the remainder of the domain. Flow vector maps are available every 2&#xa0;min.</p>
</sec>
<sec id="s2">
<title>RCM Results</title>
<p>The RCM (<xref ref-type="bibr" rid="B14">Harel et&#x20;al., 1981</xref>; <xref ref-type="bibr" rid="B43">Toffoletto et&#x20;al., 2003</xref>) computes species- and energy-dependent particle transport and convection electric field self-consistently using the bounce&#x2013;averaged electric drift and magnetic curvature/gradient drift. Drift due to the induced electric field, which is associated with magnetic field changes, are included in computing motions in the magnetosphere. Particles are released from the RCM outer/tail boundary, proton loss by charge exchange and electrons loss by precipitation are considered, and the RCM computes electric field potential in the ionosphere self-consistently through the requirement for current continuity. Conductance includes Solar-EUV-generated conductance and Hall and Pedersen auroral conductance computed from the simulated particle spectra and precipitation loss rates based on (<xref ref-type="bibr" rid="B38">Robinson et&#x20;al., 1987</xref>). The cross polar-cap potential is the external driver of the large-scale convection.</p>
<p>In the RCM simulations presented in this study (<xref ref-type="bibr" rid="B46">Wang et&#x20;al., 2018b</xref>), the UCLA version of the RCM, UCLA-RCM, is used. Three modules developed separately have been incorporated in the UCLA-RCM: (1) observation-based tail particle boundary conditions (<xref ref-type="bibr" rid="B44">Wang et&#x20;al., 2011</xref>), (2) force-balanced magnetic field (<xref ref-type="bibr" rid="B22">Liu et&#x20;al., 2006</xref>; <xref ref-type="bibr" rid="B12">Gkioulidou et&#x20;al., 2011</xref>), and (3) observation-based electron loss rates (<xref ref-type="bibr" rid="B6">Chen &#x26; Schulz, 2001</xref>; <xref ref-type="bibr" rid="B13">Gkioulidou et&#x20;al., 2012</xref>).</p>
<p>
<xref ref-type="fig" rid="F1">Figure&#x20;1</xref> shows UCLA-RCM results in the equatorial plane and ionosphere from Run one of <xref ref-type="bibr" rid="B46">Wang et&#x20;al. (2018b)</xref> for times&#xa0;3, 9, and 15&#xa0;min after a meso-scale perturbation with a 1&#xa0;h in MLT width and centered at 24 MLT was imposed on the RCM outer boundary, which is near X &#x3d; &#x2212;20&#x20;R<sub>E</sub> at midnight. A cross-polar cap potential drop of 90&#xa0;kV was used. The perturbation had a density decrease by a factor of six and a temperature increase by a factor of 6, so that the bubble was created by the heat flux vector divergence due to the higher magnetic drift speeds of the hotter particles relative to those of the cooler background. As the bubble moves earthward, the lower energy ions tend to follow the electric field drift (along equipotentials, which are shown in the ionosphere as the black contours in the right column), while the higher energy ions magnetic drift more duskward. As a result, the bubble spreads in longitude, consistent with magnetotail observations (<xref ref-type="bibr" rid="B19">Liu et&#x20;al., 2015</xref>), and its entropy decreases and as it moves earthward. The spreading can very clearly be seen in the left column of <xref ref-type="fig" rid="F1">Figure&#x20;1</xref>, which shows the ratio of flux tube integrated entropy S to the integrated entropy S<sub>o</sub> at t &#x3d; 0 (S&#x20;&#x3d;&#x20;PV<sup>5/3</sup>, where P is plasma pressure and V is flux tube volume). A crimson curve outlines the approximate boundary of the expanding bubble for each of the three times. S typically has a tailward gradient in the plasma sheet. However, the bubble spreading leads to an approximately azimuthal-aligned decrease in the tailward gradient in S at t &#x3d; 15&#xa0;min. As shown in <xref ref-type="bibr" rid="B25">Lyons et&#x20;al. (2021a)</xref>, there are enhancements of the Region 1 and 2-sense FACs as the bubble moves earthward (t &#x3d; 9&#xa0;min), and these FACs become longitudinally broad Region 1 and Region 2-sense currents as the bubble moves earthward to the inner plasma sheet. The enhanced Region 1-sense FACs are located approximately within the bubble itself, whereas the enhanced Region 2-sense FACs are earthward of the bubble, consistent with magnetotail observations (<xref ref-type="bibr" rid="B17">Liu et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B42">Sun et&#x20;al., 2013</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>UCLA-RCM results in the equatorial plane and ionosphere from Run one of <xref ref-type="bibr" rid="B45">Wang et&#x20;al. (2018a)</xref> for times&#xa0;3, 9, and 15&#xa0;min after a meso-scale perturbation with a 1&#xa0;h in MLT width and centered at 24 MLT was imposed on the RCM outer boundary A cross-polar cap potential drop of 90&#xa0;keV was used. The perturbation had a density decrease by a factor of six and a temperature increase by a factor of 6. The left column shows the ratio of flux tube integrated entropy S to the integrated entropy S<sub>o</sub> at t &#x3d; 0, and the middle column shows the electric field drift velocity V<sub>E</sub>. Both are of these columns are in the equatorial plane. In the left panel, a crimson curve outlines the approximate boundary of the expanding bubble for each of the three times. In the middle column, red and white rectangles are drawn to help identify the locations for comparing V<sub>E</sub> at t &#x3d; 3 and t &#x3d; 15&#xa0;min. Electric potential and equipotential contours are shown in the right column.</p>
</caption>
<graphic xlink:href="fspas-08-737946-g001.tif"/>
</fig>
<p>The electric field changes as the FACs develop to maintain current continuity in both the ionosphere and magnetosphere. These changes can be seen in the middle row of <xref ref-type="fig" rid="F1">Figure&#x20;1</xref> as azimuthal turnings of the electric field drift vector (V<sub>E</sub>) as the flow channel moves earthward (t &#x3d; 9&#xa0;min). By t &#x3d; 15&#xa0;min, the electric field changes give significant enhancements in the subauroral polarization stream (SAPS) and dawnside polarization stream (DAPS) <xref ref-type="bibr" rid="B21">Liu et&#x20;al. (2020)</xref> flows in the regions of the enhanced downward FACs, where conductivities are substantially lower than in the upward FAC regions. These enhancements can be seen by comparing the equatorial-plane electric field drift velocities in the middle column and the spacing of ionospheric equipotentials in the right column at t &#x3d; 3 and t &#x3d; 15&#xa0;min. Red and white rectangles in <xref ref-type="fig" rid="F1">Figure&#x20;1</xref> are drawn to help identify the locations for making this comparison, and comparison with the crimson curve shows that the DAPS increase is within the plasma sheet bubble, while the SAPS increase is adjacent to the equatorward boundary of the bubble. (The nightside auroral oval and plasma sheet can have both the well-known SAPS region and an analogous DAPS&#x2019; region as discussed in <xref ref-type="bibr" rid="B21">Liu et&#x20;al. (2020)</xref>. SAPS are strong westward flows in the low conductivity region of downward (duskside) Region two field-aligned currents (FACs) that lies just equatorward of the electron auroral oval. DAPS consist of strong eastward flows in the more poleward, downward (dawnside) Region one FAC portion of the dawnside auroral oval, where auroral precipitation <xref ref-type="bibr" rid="B23">Lyons and Fennell (1986)</xref>, <xref ref-type="bibr" rid="B55">Zou et&#x20;al. (2009)</xref> and thus conductivities are much lower than within the more equatorward dawnside upward Region two FAC portion of the dawnside auroral oval.)</p>
<p>The bubble in <xref ref-type="fig" rid="F1">Figure&#x20;1</xref> was approximately centered between the dawn and dusk large-scale convection cells. Run 2, shown in <xref ref-type="fig" rid="F2">Figure&#x20;2</xref>, is for the same conditions as Run 1 except the perturbation leading to the bubble was centered at 23 MLT and thus further toward the dusk convection cell. The important differences from Run 1 are that the bubble expands further towards dusk and less towards dawn, leading to a stronger SAPS region flow enhancement and a substantially smaller and weaker DAPS region for enhancement. Run 3, shown in <xref ref-type="fig" rid="F3">Figure&#x20;3</xref> is also for the same conditions as Run 1 except the perturbation leading to the bubble was centered at 01 MLT and thus further within the dawn convection cell. This bubble expanded further dawnward than did the bubble in Run 1, and led to a substantial DAPS region flow enhancement but no discernable enhancement of&#x20;SAPS.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>UCLA-RCM results in the equatorial plane and ionosphere from Run two of <xref ref-type="bibr" rid="B46">Wang et&#x20;al. (2018b)</xref>. Format is the same as <xref ref-type="fig" rid="F1">Figure&#x20;1</xref>, and all model parameters were the same except the perturbation with centered at 23 MLT.</p>
</caption>
<graphic xlink:href="fspas-08-737946-g002.tif"/>
</fig>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>UCLA-RCM results in the equatorial plane and ionosphere from Run three of <xref ref-type="bibr" rid="B46">Wang et&#x20;al. (2018b)</xref>. Format is the same as <xref ref-type="fig" rid="F1">Figure&#x20;1</xref>, and all model parameters were the same except the perturbation with centered at 01 MLT</p>
</caption>
<graphic xlink:href="fspas-08-737946-g003.tif"/>
</fig>
</sec>
<sec id="s3">
<title>Analysis</title>
<p>We started with 14 nights that were selected for having good auroral viewing from Poker Flat, Alaska that we have used in previous studies [most in <xref ref-type="bibr" rid="B25">Lyons et&#x20;al. (2021a)</xref>; <xref ref-type="bibr" rid="B24">Lyons et&#x20;al. (2021b)</xref>], and identified six flow channel events having good auroral viewing conditions and good radar coverage of flows moving to the equatorward portion of the auroral oval and of their connection to azimuthal flows. We first show two examples with a flow channel that appears to be near the boundary between the dusk-side and dawn-side convection cells, approximately corresponding to the RCM model run in <xref ref-type="fig" rid="F1">Figure&#x20;1</xref>. We then show one example each of a flow channel that appears to be more within the dusk-side or dawn-side convections cells, resembling the RCM model runs in <xref ref-type="fig" rid="F2">Figures 2</xref>, <xref ref-type="fig" rid="F3">3</xref>, respectively. This is followed by examples with two or more flow channels.</p>
<p>We only examine the two-dimensional structure of the flow channels, its location relative to upward FACs as indicated by bright auroral arcs, and the dependence on whether the flow channel is between the two large-scale convection cells or more within the dusk or dawn cell. We do not have the combination of time resolution with consistent echo coverage to consistently see the evolution of flow channels as they move equatorward within the auroral oval. We do, however, show sequences of flow and ASI measurement to show that the two-dimensional pattern is maintained for several minutes and is not just a coincidental pattern seen during a single measurement interval, and to also show that the flow channel appears to come in from higher latitudes (probably the polar&#x20;cap).</p>
<sec id="s3-1">
<title>November 11, 2012 and February 20, 2014: Between-Cell Examples</title>
<p>
<xref ref-type="fig" rid="F4">Figure&#x20;4</xref> shows 557.7&#xa0;nm images from the Poker Flat ASI, with THEMIS ASI image mosaics for the region surrounding the Poker image FOV, for a flow channel near midnight (cyan line) on November 11, 2012. This flow channel appears to be in the region that separates the dawnside and duskside large-scale convection cells. Images are shown every 2&#x2013;4&#xa0;min, and SuperDARN flow vectors are overlaid on the images in each panel. The magnitude of each vector is shown by both its length and its color, the foot of the arrow being at the location of the measurement. Heavier flow vector arrows are at points with a LOS flow measurement. The further from a region of heavier arrows, the more the flows shown with the lighter arrows revert to a statistical&#x20;model.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>557.7&#xa0;nm images from the Poker Flat ASI, with THEMIS ASI image mosaics for the region surrounding the Poker image FOV for a flow channel near midnight (cyan line) on November 11, 2012. SuperDARN flow vectors are overlaid on the images in each panel. Vectors are scaled both by length and by color, the foot of the arrow being at the location of the measurement. Heavier flow vector arrows are at points with a LOS flow measurement. The further from a region of heavier arrows, the more the flows shown with the lighter arrows revert to a statistical model. Closed yellow curve approximately encircles the region where flows were enhanced relative to that seen at 1024 UT.</p>
</caption>
<graphic xlink:href="fspas-08-737946-g004.tif"/>
</fig>
<p>The first panel (1024 UT) shows conditions just before the start of a period of several consecutive 2&#xa0;min SuperDARN maps showing a connection of the flow channel to flows within the equatorward portion of the auroral oval. Very weak flows are seen between 23 and 24 MLT, with westward/eastward flows at earlier/later MLTs. The stronger and more equatorward/poleward of these flow are SAPS/DAPS. In the next panel (1028 UT), a longitudinally localized region of enhanced flows (i.e.,&#x20;a flow channel) can be seen approaching the poleward boundary of the auroral oval at &#x223c;23 to 24 MLT. The flow is equatorward with a significant eastward component, and it can be seen to connect to and enhance the eastward flows. (Flow direction variations are common for polar-cap flows approaching the auroral poleward boundary.). The eastward flows are poleward of a bright aurora arc on the dawnside, consistent them being DAPS. A closed yellow curve approximately encircles the region of the equatorward directed flow channel and DAPS flow that were enhanced relative to that seen at 1024 UT. There was not sufficient radar echo coverage at 1028 UT to determine if the flow channel connected to the SAPS region.</p>
<p>In the next three panels, we have sufficient measurement vectors to see that the flow channel simultaneously directly connected to, and enhanced, the duskside westward and dawnside eastward flows. The westward flows are equatorward of the brighter auroral emissions and within the region of uniform 557.7&#xa0;nm emissions that results from the proton precipitation within the SAPS region (<xref ref-type="bibr" rid="B55">Zou et&#x20;al., 2009</xref>; <xref ref-type="bibr" rid="B27">Lyons et&#x20;al., 2015</xref>). The eastward flows are at distinctly higher latitudes than the westward flows. The dawnside aurora remains clear for this event, and the strongest eastward flows can be seen to lie adjacent to, but poleward of the dawnside bright auroral arc. This is characteristic of DAPS. Again, a closed yellow curve approximately encircles the region of the equatorward directed flow channel and SAPS and DAPS flows that were enhanced relative to that seen at 1024 UT. These are just the flows and location relative to the brighter auroral emissions expected from the near-midnight flow channel run of the RCM in <xref ref-type="fig" rid="F1">Figure&#x20;1</xref>.</p>
<p>A second example of a flow channel in the region between the two large scale convection cells, on February 20, 2014<italic>,</italic> is shown in <xref ref-type="fig" rid="F5">Figure&#x20;5</xref>. This channel is centered at &#x223c;22.5&#xa0;h in MLT. However, based on the background flow pattern, this flow channel appears to lie near the boundary between the large-scale dusk and dawn convection cells. At 0800 UT, some of the southeastward flows of the flow channel show a connection to strong DAPS flows just poleward of the lower latitude region of brighter morning aurora and an auroral arc identified by a magenta arrow. For this time, the flow channel appears to be partially within the dawn convection cell. However, in the next three panels, we see enhanced equatorward flow channels coming into the auroral oval from higher latitudes, and there are sufficient echoes to show a connection to both DAPS and SAPS at the next three times. The flow channel appears most clearly as between the convection cells in the 0808 UT panel. The closed yellow curve approximately encircles the region where flows were enhanced relative to that seen at 0800 UT. The flow speeds and echo coverage decrease by the times of the 0808 and 0810 UT panels. We see the flow connection to both SAPS and DAPS for &#x223c;6&#xa0;min in this case, and for &#x223c;6&#x2013;10&#xa0;min for the case in <xref ref-type="fig" rid="F4">Figure&#x20;4</xref>. These are reasonable durations for a flow channel, and their two-dimensional structure is as predicted by the RCM, including the predicted SAPS and DAPS enhancement location relative to the upward FAC as indicated by the bright auroral&#x20;arcs.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Same as <xref ref-type="fig" rid="F4">Figure&#x20;4</xref>, except for a between cell flow channel on February 20, 2014, and the closed yellow curve approximately encircles the region where flows were enhanced relative to that seen at 0800 UT.</p>
</caption>
<graphic xlink:href="fspas-08-737946-g005.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>March 14, and 15&#x20;2013: Two-Dimensional TEC Coverage: Dusk and Dawn Cell Examples</title>
<p>The left- and right-hand sides, respectively, of <xref ref-type="fig" rid="F6">Figure&#x20;6</xref> show an example where an observed flow channel appears to enter the auroral oval from the polar cap and become primarily within the dusk or the dawn convection cell. We choose these examples in part because there are at least some echoes toward the dusk and dawn sides of the equatorward portion of the flow channel that show a decrease in flow speed. This indicates that the strongest flow of the channel did not extend more broadly in MLT, and, in particular, did not extend in MLT from the dusk/dawn cell to the dawn/dusk. In this figure, the closed yellow curves approximately encircle the region of the equatorward flows and where flows were enhanced relative to that seen in the first panel for each&#x20;event.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Same as <xref ref-type="fig" rid="F4">Figure&#x20;4</xref>, except the left- and right-hand sides, respectively, show an example of a flow channel appearing to enter the auroral oval from the polar cap and becoming primarily within the dusk (March 15, 2013) and dawn (March 14, 2013) convection cell. The closed yellow curves approximately encircle the region of the equatorward flows and where flows were enhanced relative to that seen in the first panel for each&#x20;event.</p>
</caption>
<graphic xlink:href="fspas-08-737946-g006.tif"/>
</fig>
<p>The equatorward flow channel on March 15, 2013 is seen in the 0900 UT panel. In the next two panels, the flows of the channel can be seen turning azimuthally towards the west, becoming connected to, and leading to an enhancement of, the SAPS flows. These flows lie equatorward of an auroral arc that was seen at 0900 UT as identified with a magenta arrow. At the later times shown, that arc was no longer visible, but the flows are within the region of uniform 557.7&#xa0;nm emissions that results from the proton precipitation within the SAPS region. They were also equatorward of an arc observed to the east of the largest flows There are several radar echoes to the east of the flow channel, and they show only very weak flows with no evidence for a connection to DAPS flows. These observations are consistent with the pattern expected from the RCM results for a dusk cell flow channel in <xref ref-type="fig" rid="F2">Figure&#x20;2</xref>. The flow channel then started to decrease as seen in the 0910 UT panel. The dawn cell flow channel on March 14, 2013 is first seen in the 1010 UT panel. It then increased and further turned towards the east, and then started to decrease by the time of the last panel shown (1020 UT). The flows turning toward the east are likely DAPS, though the auroral signature is not clear. Weak, diffuse auroral emissions are seen within the region of the flows on the dawn side. However, there may be brighter emissions towards the equatorward boundary of the ASIs FOVs, but this region of the FOVs is partially obscured by trees. Also, there are several radar echoes to the west of the flow channel, and they show only very weak flows with no evidence for a connection to SAPS flows This dawn cell example is consistent with the RCM pattern for a dawn cell flow channel in <xref ref-type="fig" rid="F3">Figure&#x20;3</xref>.</p>
<p>As mentioned above, in neither the dusk-cell or dawn-cell examples in <xref ref-type="fig" rid="F6">Figure&#x20;6</xref> do we see a turning of the flows of the flow channel to the other azimuthal direction, that being to the east on 15 March and to the west on 14 March. This is a distinct difference to the connections to both SAPS and DAPS flow enhancements seen in the between cell examples in <xref ref-type="fig" rid="F4">Figures 4</xref>, <xref ref-type="fig" rid="F5">5</xref>, showing further consistency with the RCM predictions in <xref ref-type="fig" rid="F1">Figures 1</xref>&#x2013;<xref ref-type="fig" rid="F3">3</xref>.</p>
</sec>
<sec id="s3-3">
<title>Nov 19, 2012 and March 26, 2014: Evolution to Two or More Flow Channels</title>
<p>We identified single flow channels in the above events. Since there can be more than one streamer within the auroral oval at a given time (e.g., <xref ref-type="bibr" rid="B28">Lyons et&#x20;al., 2012</xref>), we would expect there to often be more than one flow channel simultaneously within the oval. We thus turn attention to the two examples in <xref ref-type="fig" rid="F7">Figure&#x20;7</xref>. Observations from November 19, 2012 are shown in the left portion of <xref ref-type="fig" rid="F7">Figure&#x20;7</xref>. As outlined by the yellow curves, here we see a clear between-cell flow channel in the first panel (0636 UT), which then evolves into very distinct and separated dusk- and dawn-cell flow channels by the time times of the 0,650 and 0,656 panels. Observations from March 26, 2014 are in the right portion of the figure. As outlined by the yellow curves, in the first panel (0636 UT) we see a nice dusk-cell flow channel and a small equatorward flow channel to the east. The subsequent panels then show that the flows evolved toward four identifiable flow channels, with a dusk cell always being seen and three additional small equatorward flow channels appearing at 0650 UT. (Auroral features are difficult to identify for this event.)</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Same as <xref ref-type="fig" rid="F4">Figure&#x20;4</xref>, except for two events (<bold>left</bold>: November 19, 2012; <bold>right</bold>: March 26, 2014) showing flow evolution to two or more flow channels. Yellow curves approximately encircle the identified flow channels in each&#x20;panel.</p>
</caption>
<graphic xlink:href="fspas-08-737946-g007.tif"/>
</fig>
<p>We thus see that the idealized representations of a single flow channel that we have simulated with the RCM give patterns that compare remarkably well with the observations in examples with a single flow channel. However, the situation when there are multiple flow channels requires consideration and simulation of substantially more complicated scenarios where multiple bubbles are imposed on the RCM outer boundary.</p>
</sec>
</sec>
<sec id="s4">
<title>Summary and Conclusion</title>
<p>While flow bursts are a major component of plasma sheet and auroral oval transport, and lead to a variety of other geomagnetic disturbances when they reach the inner plasma sheet (equatorward portion of the auroral oval), their two-dimensional structure as they approach the inner plasma sheet has not received much attention beyond that which is seen in ideal MHD simulations. We have examined this structure using both the RCM and ground-based radar and ASI observations. Specifically, we first presented the RCM predictions, and then tested these predictions using upward FACs identified from ASI images of the aurora and SuperDARN observations presented as maps of flow vectors obtained with the <xref ref-type="bibr" rid="B5">Bristow et&#x20;al. (2016)</xref> technique. We used only observations for cases having good coverage of flow channels as they approach the equatorward portion of the auroral oval and the regions of possible connection to the azimuthal flows of SAPS and&#x20;DAPS.</p>
<p>The energy dependence of magnetic drift becomes crucial within the inner plasma sheet, and as predicted by the RCM, the low entropy plasma of a flow burst should spread azimuthally and be accompanied by substantial azimuthal drift. We have taken advantage of the RCM results of <xref ref-type="bibr" rid="B46">Wang et&#x20;al. (2018b)</xref> who ran three RCM simulations that were identical except for the MLT of a plasma perturbation applied at the model outer boundary that gives rise to a low-entropy plasma bubble. The results gave specific predictions of azimuthal flow enhancements in the SAPS and DAPS regions and their relation to flow-channel FACs that are associated with the azimuthal spreading of flow channels&#x2019; low entropy plasma as the flows reach to near the equatorward boundary of the auroral oval. We find consistency between the RCM pattern and the patterns seen in the observation results when a single flow channel is observed. The results also show clear response distinctions based on a flow channel&#x2019;s location relative to the dusk-side and dawn-side large-scale convection cells, as seen in the RCM results of <xref ref-type="fig" rid="F1">Figures 1</xref>&#x2013;<xref ref-type="fig" rid="F3">3</xref> and the observations in <xref ref-type="fig" rid="F4">Figures 4</xref>&#x2013;<xref ref-type="fig" rid="F6">6</xref>. The flow channels in <xref ref-type="fig" rid="F1">Figures 1</xref>, <xref ref-type="fig" rid="F4">4</xref>, <xref ref-type="fig" rid="F5">5</xref> were approximately centered between the dawn and dusk large-scale convection cells and gave significant flow enhancements of both SAPS and DAPS. The flow channels in <xref ref-type="fig" rid="F2">Figure&#x20;2</xref> and the left side of <xref ref-type="fig" rid="F6">Figure&#x20;6</xref> were further toward the dusk convection cell, and showed a far more significant enhancement of SAPS than for DAPS. The flow channels in <xref ref-type="fig" rid="F3">Figure&#x20;3</xref> and the right side of <xref ref-type="fig" rid="F6">Figure&#x20;6</xref> were further within the dawn convection cell. The low entropy plasma within these flow channels expanded further dawnward than did the between cell flow channels, and led to a substantial DAPS region flow enhancement but no discernable enhancement of&#x20;SAPS.</p>
<p>It needs to be remembered that there is an infinite variety of flow channels plasma parameters and of background plasma sheet and auroral oval conditions. That the observations show the general trends predicted by the RCM simulations with the idealized parameters of <xref ref-type="bibr" rid="B45">Wang et&#x20;al. (2018a)</xref> gives strong support that the azimuthal spread of a low-entropy plasma sheet plasma and its associated FAC and flow responses gives a realistic two-dimensional physical description of the structure of plasma sheet flow bursts (auroral oval flow channels) as they reach the inner plasma sheet (near the equatorward edge of the auroral oval).</p>
<p>That the structure of the flow bursts becomes approximately azimuthally aligned within the inner plasma sheet (equatorward portion of the auroral oval) may be quite important. For example,&#x20;this alignment is likely critical for understanding the disturbances of the magnetosphere-ionosphere system that have east-west alignment, such as growth-phase auroral arcs, substorm&#x20;onset, and dawnside auroral omega bands. Based on the few cases presented here, the auroral oval flow channels have a typical duration of several minutes. Also, based on the observations in <xref ref-type="fig" rid="F7">Figure&#x20;7</xref>, the character of a flow channel can evolve with time, and more than one flow channel can significantly affect the plasma sheet and auroral oval at any specific time. Such evolution and the effects of multiple flow channels warrant further consideration, as does other effects of MLT location of bubble injection such as seen in (<xref ref-type="bibr" rid="B35">Nishimura et&#x20;al., 2020</xref>).</p>
</sec>
</body>
<back>
<sec id="s5">
<title>Data Availability Statement</title>
<p>Publicly available datasets were analyzed in this study. This data can be found here: SuperDARN data is accessible <italic>via</italic> <ext-link ext-link-type="uri" xlink:href="http://vt.superdarn.org/tiki-index.php?page%20=%20=Data+Access">http://vt.superdarn.org/tiki-index.php?page &#x3d; Data&#x2b;Access</ext-link>. The University of Alaska ASI data is available from <ext-link ext-link-type="uri" xlink:href="http://optics.gi.alaska.edu/optics/">http://optics.gi.alaska.edu/optics/</ext-link>, and the THEMIS ASI data from <ext-link ext-link-type="uri" xlink:href="http://themis.ssl.berkeley.edu/themisdata/">http://themis.ssl.berkeley.edu/themisdata/</ext-link>.</p>
</sec>
<sec id="s6">
<title>Author Contributions</title>
<p>LL: All aspects of paper YN: Data coordination, analysis, and interpretation C-PW: Rice Convection Model simulations JL: Data analysis and interpretation WB: Two-dimensional radar flows and their interpretation.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>Work at UCLA has been supported by NSF grant 1907483, NASA grant 80NSSC20K1314 and AFOSR FA9559-16-1-0364, at Boston University by AFOSR FA9559-16-1-0364, NASA NNX17AL22G, NSF AGS-1737823, and AFOSR FA9550-15-1-0179. SuperDARN work at Penn State was supported by AFOSR FA9559-16-1-0364. SuperDARN is a collection of radars funded by national scientific funding agencies of Australia, Canada, China, France, Italy, Japan, Norway, South Africa, United&#x20;Kingdom and the United&#x20;States of America. Operation of the Kodiak and Adak radars, and processing of the SuperDARN data for this study was supported by NSF grant AGS1934410 to the University of Alaska Fairbanks.</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s9" sec-type="disclaimer">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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</back>
</article>