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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">1114838</article-id>
<article-id pub-id-type="doi">10.3389/fspas.2023.1114838</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Astronomy and Space Sciences</subject>
<subj-group>
<subject>Perspective</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Redefining flux ropes in heliophysics</article-title>
<alt-title alt-title-type="left-running-head">Nieves-Chinchilla et&#xa0;al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fspas.2023.1114838">10.3389/fspas.2023.1114838</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Nieves-Chinchilla</surname>
<given-names>Teresa</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/961113/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Pal</surname>
<given-names>Sanchita</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1721780/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Salman</surname>
<given-names>Tarik M.</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">
<name>
<surname>Carcaboso</surname>
<given-names>Fernando</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2166534/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Guidoni</surname>
<given-names>Silvina E.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2172348/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Cremades</surname>
<given-names>Hebe</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2090529/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Narock</surname>
<given-names>Ayris</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1682680/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Balmaceda</surname>
<given-names>Laura A.</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">
<name>
<surname>Lynch</surname>
<given-names>Benjamin J.</given-names>
</name>
<xref ref-type="aff" rid="aff7">
<sup>7</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1277379/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Al-Haddad</surname>
<given-names>Nada</given-names>
</name>
<xref ref-type="aff" rid="aff8">
<sup>8</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1336830/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Rodr&#xed;guez-Garc&#xed;a</surname>
<given-names>Laura</given-names>
</name>
<xref ref-type="aff" rid="aff9">
<sup>9</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1979174/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Narock</surname>
<given-names>Thomas W.</given-names>
</name>
<xref ref-type="aff" rid="aff10">
<sup>10</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1500187/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Dos Santos</surname>
<given-names>Luiz F. G.</given-names>
</name>
<xref ref-type="aff" rid="aff11">
<sup>11</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2124973/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Regnault</surname>
<given-names>Florian</given-names>
</name>
<xref ref-type="aff" rid="aff8">
<sup>8</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Kay</surname>
<given-names>Christina</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2163734/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Winslow</surname>
<given-names>R&#xe9;ka M.</given-names>
</name>
<xref ref-type="aff" rid="aff8">
<sup>8</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2006080/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Palmerio</surname>
<given-names>Erika</given-names>
</name>
<xref ref-type="aff" rid="aff12">
<sup>12</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/681308/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Davies</surname>
<given-names>Emma E.</given-names>
</name>
<xref ref-type="aff" rid="aff8">
<sup>8</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2210889/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Scolini</surname>
<given-names>Camilla</given-names>
</name>
<xref ref-type="aff" rid="aff8">
<sup>8</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1972057/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Weiss</surname>
<given-names>Andreas J.</given-names>
</name>
<xref ref-type="aff" rid="aff13">
<sup>13</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2176576/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Alzate</surname>
<given-names>Nathalia</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2171480/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Jeunon</surname>
<given-names>Mariana</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2164220/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Pujadas</surname>
<given-names>Roger</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff14">
<sup>14</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2127026/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Heliophysics Science Division</institution>, <institution>NASA Goddard Space Flight Center</institution>, <addr-line>Greenbelt</addr-line>, <addr-line>MD</addr-line>, <country>United States</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Physics and Astronomy</institution>, <institution>George Mason University</institution>, <addr-line>Fairfax</addr-line>, <addr-line>VA</addr-line>, <country>United States</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Physics Department</institution>, <institution>The Catholic University of America</institution>, <addr-line>Washington</addr-line>, <addr-line>DC</addr-line>, <country>United States</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Department of Physics</institution>, <institution>American University</institution>, <addr-line>Washington</addr-line>, <addr-line>DC</addr-line>, <country>United States</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Grupo de Estudios en Heliof&#xed;sica de Mendoza</institution>, <institution>CONICET</institution>, <institution>Universidad de Mendoza</institution>, <addr-line>Mendoza</addr-line>, <country>Argentina</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>ADNET Systems</institution>, <institution>Inc</institution>, <addr-line>Greenbelt</addr-line>, <addr-line>MD</addr-line>, <country>United States</country>
</aff>
<aff id="aff7">
<sup>7</sup>
<institution>Space Sciences Laboratory</institution>, <institution>University of California&#x2013;Berkeley</institution>, <addr-line>Berkeley</addr-line>, <addr-line>CA</addr-line>, <country>United States</country>
</aff>
<aff id="aff8">
<sup>8</sup>
<institution>Space Science Center</institution>, <institution>University of New Hampshire</institution>, <addr-line>Durham</addr-line>, <addr-line>NH</addr-line>, <country>United States</country>
</aff>
<aff id="aff9">
<sup>9</sup>
<institution>Universidad de Alcal&#xe1;</institution>, <institution>Space Research Group, Alcal&#xe1; de Henares</institution>, <addr-line>Madrid</addr-line>, <country>Spain</country>
</aff>
<aff id="aff10">
<sup>10</sup>
<institution>Goucher College</institution>, <institution>Center for Natural, Computer, and Data Sciences</institution>, <addr-line>Baltimore</addr-line>, <addr-line>MD</addr-line>, <country>United States</country>
</aff>
<aff id="aff11">
<sup>11</sup>
<institution>Shell Global Solutions (United States) Inc</institution>, <addr-line>Houston</addr-line>, <addr-line>TX</addr-line>, <country>United States</country>
</aff>
<aff id="aff12">
<sup>12</sup>
<institution>Predictive Science Inc</institution>, <addr-line>San Diego</addr-line>, <addr-line>CA</addr-line>, <country>United States</country>
</aff>
<aff id="aff13">
<sup>13</sup>
<institution>NASA Postdoctoral Program Fellow</institution>, <institution>NASA Goddard Space Flight Center</institution>, <addr-line>Greenbelt</addr-line>, <addr-line>MD</addr-line>, <country>United States</country>
</aff>
<aff id="aff14">
<sup>14</sup>
<institution>Universitat Polit&#xe8;cnica de Catalunya</institution>, <addr-line>Barcelona</addr-line>, <country>Spain</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/159967/overview">Gian Luca Delzanno</ext-link>, Los Alamos National Laboratory (DOE), United States</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/224486/overview">Jiansen He</ext-link>, Peking University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/115733/overview">Olga V. Khabarova</ext-link>, Tel Aviv University, Israel</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/639647/overview">Emilia Kilpua</ext-link>, University of Helsinki, Finland</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Teresa Nieves-Chinchilla&#x2009;, <email>teresa.nieves@nasa.gov</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>08</day>
<month>03</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>10</volume>
<elocation-id>1114838</elocation-id>
<history>
<date date-type="received">
<day>02</day>
<month>12</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>15</day>
<month>02</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Nieves-Chinchilla, Pal, Salman, Carcaboso, Guidoni, Cremades, Narock, Balmaceda, Lynch, Al-Haddad, Rodr&#xed;guez-Garc&#xed;a, Narock, Dos Santos, Regnault, Kay, Winslow, Palmerio, Davies, Scolini, Weiss, Alzate, Jeunon and Pujadas.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Nieves-Chinchilla, Pal, Salman, Carcaboso, Guidoni, Cremades, Narock, Balmaceda, Lynch, Al-Haddad, Rodr&#xed;guez-Garc&#xed;a, Narock, Dos Santos, Regnault, Kay, Winslow, Palmerio, Davies, Scolini, Weiss, Alzate, Jeunon and Pujadas</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 terms.</p>
</license>
</permissions>
<abstract>
<p>Magnetic flux ropes manifest as twisted bundles of magnetic field lines. They carry significant amounts of solar mass in the heliosphere. This paper underlines the need to advance our understanding of the fundamental physics of heliospheric flux ropes and provides the motivation to significantly improve the <italic>status quo</italic> of flux rope research through novel and requisite approaches. It briefly discusses the current understanding of flux rope formation and evolution, and summarizes the strategies that have been undertaken to understand the dynamics of heliospheric structures. The challenges and recommendations put forward to address them are expected to broaden the in-depth knowledge of our nearest star, its dynamics, and its role in its region of influence, the heliosphere.</p>
</abstract>
<kwd-group>
<kwd>sun</kwd>
<kwd>heliosphere</kwd>
<kwd>magnetic field</kwd>
<kwd>flux rope</kwd>
<kwd>coronal mass ejection</kwd>
<kwd>solar wind</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>This paper addresses the need to investigate the fundamental solar and heliospheric magnetic structures known as <italic>flux ropes</italic> (FRs). FRs are commonly associated with coronal mass ejections (CMEs, <xref ref-type="bibr" rid="B94">Webb and Howard, 2012</xref>), streamer blow-outs (SBOs, <xref ref-type="bibr" rid="B87">Vourlidas and Webb, 2018</xref>; <xref ref-type="bibr" rid="B60">Nitta&#xa0;et&#xa0;al., 2021</xref>), density blobs generated due to magnetic reconnection at the tip of helmet streamers within the heliospheric plasma sheet (HPS, <xref ref-type="bibr" rid="B38">Lavraud&#xa0;et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B74">R&#xe9;ville&#xa0;et&#xa0;al., 2022</xref>), small structures called &#x201c;plasmoids&#x201d; or &#x201c;blobs&#x201d; observed in 2D by heliospheric imagers (e.g., <xref ref-type="bibr" rid="B34">Khabarova&#xa0;et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B71">Pezzi&#xa0;et&#xa0;al., 2021</xref>), solar flares (e.g., <xref ref-type="bibr" rid="B37">Kumar and Cho, 2013</xref>), small magnetic structures observed by <italic>in situ</italic> instrumentation (e.g., <xref ref-type="bibr" rid="B49">Moldwin&#xa0;et&#xa0;al., 2000</xref>; <xref ref-type="bibr" rid="B6">Cartwright and Moldwin, 2010a</xref>; <xref ref-type="bibr" rid="B10">Chen&#xa0;et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B43">Liu&#xa0;et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B9">Chen and Hu, 2022</xref>), as substructures of a larger structure (see for instance, <xref ref-type="bibr" rid="B8">Chen&#xa0;et&#xa0;al., 2023</xref>), and magnetospheric flux transfer events (FTEs, <xref ref-type="bibr" rid="B77">Russell and Elphic, 1978</xref>; <xref ref-type="bibr" rid="B82">Slavin&#xa0;et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B50">Murphy&#xa0;et&#xa0;al., 2020</xref>). FRs contribute greatly to the transport of energy, mass, and helicity from the Sun through the heliosphere and from the heliosphere to the planets&#x2019; local environments. They are characterized by an organized bundle of magnetic field lines, twisting around a common axis, confining plasma, and dragging away a large part of the Sun&#x2019;s or a planet&#x2019;s atmosphere (e.g., <xref ref-type="bibr" rid="B41">Linton and Moldwin, 2009</xref>). Considering the diversity of FRs described above, a question still remains: are all these structures alike in terms of morphology, magnetic and plasma properties, and dynamics?.</p>
<p>The FR concept was borrowed from the laboratory plasma physics experiments in the 1950&#x2013;60s to confine and reach a stable plasma equilibrium to produce thermonuclear fusion power (e.g., <xref ref-type="bibr" rid="B45">Lundquist, 1950</xref>). Helical magnetic field structures were produced by induced toroidal current densities in laboratory devices, such as Tokamaks, to determine their stability. However, as the Heliophysics discipline has matured, the idealized FR concept (i.e., that of a circularly-symmetric, force-free, twisted flux tube) has become insufficient to accurately describe the structures, which are not always static or in equilibrium but ubiquitous in Heliophysics.</p>
<p>In this paper, we will discuss some of the issues that prevent us from advancing our understanding of the origin of these structures and the physical processes associated with their evolution. For example, the interpretation of remote-sensing and <italic>in situ</italic> observations often suggests complex distortions of FRs that are ambiguous and open to debate, and current models are not equipped to reproduce and simulate such complexities. In our opinion, the challenges that we present here range from data returned by space-based observatories to more theoretical approaches, but also encompass the development of more robust plasma physics laboratory experiments. On the basis of current challenges in FR research, we envision strategies and future venues to be addressed in the upcoming years.</p>
</sec>
<sec id="s2">
<title>2 Flux rope formation</title>
<p>Despite countless observations, both remote and <italic>in situ</italic>, that account for the existence of FRs, we have only a vague idea of their formation. Most models that are focused on CME eruption include a FR as an essential part of the process. However, there is a long-standing debate about whether these FRs exist in the corona before the eruption and later become unstable (ideal or magnetohydrodynamic instability, e.g., <xref ref-type="bibr" rid="B84">T&#xf6;r&#xf6;k&#xa0;et&#xa0;al., 2004</xref>) or whether the FR forms as a consequence of the take-off of an unstable sheared arcade that triggers magnetic reconnection in its wake (resistive magnetohydrodynamic instability, e.g., <xref ref-type="bibr" rid="B1">Antiochos&#xa0;et&#xa0;al., 1999</xref>). The nature of the pre-eruptive configuration of solar eruptions has been extensively debated (see the reviews of <xref ref-type="bibr" rid="B36">Klimchuk, 2001</xref>; <xref ref-type="bibr" rid="B19">Forbes&#xa0;et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B22">Green&#xa0;et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B70">Patsourakos&#xa0;et&#xa0;al., 2020</xref>). Episodes of magnetic flux emergence can be regarded as the manifestation of twisted magnetic flux tubes rising through the solar surface, which result from the buoyant rise of magnetic plasma from the convection zone into the overlying atmosphere (e.g., <xref ref-type="bibr" rid="B42">Lites, 2009</xref>; <xref ref-type="bibr" rid="B11">Cheung and Isobe, 2014</xref>; <xref ref-type="bibr" rid="B72">Pontin and Priest, 2022</xref>). It is currently believed that the combination of photospheric plasma flows and magnetic reconnection above polarity inversion lines (see for instance, <xref ref-type="bibr" rid="B85">van&#xa0;Ballegooijen and Martens, 1989</xref>; <xref ref-type="bibr" rid="B31">Jiang&#xa0;et&#xa0;al., 2021</xref>) leading to FR formation, also during flux emergence, is the most common mechanism.</p>
<p>In light of observations of SBOs, it has been proposed that FRs can also be created later in the corona through reconnection processes (<xref ref-type="bibr" rid="B47">Lynch&#xa0;et&#xa0;al., 2016</xref>). The same mechanism seems to be responsible for the formation of small FRs or blobs and plasmoids (e.g., <xref ref-type="bibr" rid="B81">Sheeley&#xa0;et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B79">Sanchez-Diaz&#xa0;et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B34">Khabarova&#xa0;et&#xa0;al., 2021</xref>). Although there is supporting evidence in favor of each of the different aforementioned mechanisms, there are no conclusive findings, and this prevents us from fully understanding the formation mechanisms of different FRs.</p>
<p>The FRs originating further away from the Sun in the heliosphere mainly result from the solar wind&#x2019;s evolution. This corresponds to magnetic reconnection in the heliospheric current sheet (HCS, e.g., <xref ref-type="bibr" rid="B49">Moldwin&#xa0;et&#xa0;al., 2000</xref>; <xref ref-type="bibr" rid="B15">Eastwood&#xa0;et&#xa0;al., 2002</xref>; <xref ref-type="bibr" rid="B38">Lavraud&#xa0;et&#xa0;al., 2020</xref>) and discontinuities produced by the action of turbulence in the solar wind (e.g., <xref ref-type="bibr" rid="B98">Zheng and Hu, 2018</xref>). <xref ref-type="bibr" rid="B12">Daughton&#xa0;et&#xa0;al. (2011)</xref> showed that for the most common type of reconnection layer with a finite guide field, the 3D evolution is dominated by the formation and interactions of FRs.</p>
<p>Several studies have correlated small FRs with interplanetary shock waves, particle energization, and stream interaction regions (SIRs, e.g., <xref ref-type="bibr" rid="B16">Feng&#xa0;et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B7">Cartwright and Moldwin, 2010b</xref>; <xref ref-type="bibr" rid="B97">Zank&#xa0;et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B39">le&#xa0;Roux&#xa0;et&#xa0;al., 2015</xref>). Thus, although the origin of large-scale FRs possesses well-defined observational signatures and unambiguously corresponds to CMEs and similar solar events, identification of the procedures involved in small-scale FR generation is still inconclusive.</p>
<p>In the ideal FR built in the laboratory, an axial current density induces the helical magnetic field topology. However, a non-idealized and more realistic heliospheric FR could be described by more complex internal current density distributions that, perhaps, impact the way the structure evolves. Therefore, does the formation mechanism determine the internal magnetic structure and impact the subsequent evolutionary processes?</p>
</sec>
<sec id="s3">
<title>3 Flux rope evolutionary processes</title>
<p>In the heliosphere, FRs are not static. They may continuously evolve through expansion, rotation, deflection, erosion, and distortion (e.g., <xref ref-type="bibr" rid="B48">Manchester&#xa0;et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B35">Kilpua&#xa0;et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B44">Luhmann&#xa0;et&#xa0;al., 2020</xref>). The physical processes associated with these effects are clearly related to the interaction with the local environment, but disentangling them is not an easy task. Most of the processes are coupled; for instance, the erosion with the distortion (<xref ref-type="bibr" rid="B21">Good&#xa0;et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B53">Nieves-Chinchilla&#xa0;et&#xa0;al., 2022a</xref>; <xref ref-type="bibr" rid="B75">Rodr&#xed;guez-Garc&#xed;a&#xa0;et&#xa0;al., 2022</xref>), the expansion with the deflection (<xref ref-type="bibr" rid="B54">Nieves-Chinchilla&#xa0;et&#xa0;al., 2012</xref>, <xref ref-type="bibr" rid="B59">2013</xref>), and they result in local significant changes within the global structures (<xref ref-type="bibr" rid="B61">Owens, 2020</xref>). Studies on the early evolution of FRs originating from the Sun estimate that the expansion and acceleration are probably due to the Lorentz force (e.g., <xref ref-type="bibr" rid="B88">Vr&#x161;nak, 2008</xref>; <xref ref-type="bibr" rid="B33">Kay and Nieves-Chinchilla, 2021</xref>), but the range of influence of the different forces are not yet well defined.</p>
<p>In the interplanetary medium, the evolution of FRs is mostly dominated by interactions with the ambient solar wind. The magnetohydrodynamic (MHD) and/or aerodynamic drag affects FR kinematics and overall dynamics. It is also believed that with increasing heliocentric distance (e.g., <xref ref-type="bibr" rid="B40">Leitner&#xa0;et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B23">Gulisano&#xa0;et&#xa0;al., 2012</xref>) the FR radial expansion weakens, leading to FR deformations such as the &#x201c;pancaking effect&#x201d; (e.g., <xref ref-type="bibr" rid="B5">Cargill&#xa0;et&#xa0;al., 1996</xref>; <xref ref-type="bibr" rid="B62">Owens&#xa0;et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B80">Savani&#xa0;et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B13">Davies&#xa0;et&#xa0;al., 2021</xref>). However, the question of whether the global structure of FRs can be distorted or not is still open in the Heliophysics community. The interpretation of the remote-sensing and <italic>in situ</italic> observations that suggest complex distortions are ambiguous and open to debate (<xref ref-type="bibr" rid="B61">Owens, 2020</xref>). It is also important to highlight the importance of varied solar wind background structures that can distort longitudinally the coherent flux rope and significantly affect its local parameters probed at different places. Also, the interaction between structures can temporally change, even relatively quickly the FR properties (<xref ref-type="bibr" rid="B35">Kilpua&#xa0;et&#xa0;al., 2019</xref>) but, there are just a few physics-driven FR models flexible enough to advance such investigations (<xref ref-type="bibr" rid="B24">Hidalgo, 2003</xref>; <xref ref-type="bibr" rid="B25">Hidalgo and Nieves-Chinchilla, 2012</xref>; <xref ref-type="bibr" rid="B53">Nieves-Chinchilla&#xa0;et&#xa0;al., 2022a</xref>; <xref ref-type="bibr" rid="B89">Vr&#x161;nak&#xa0;et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B90">2008</xref>; <xref ref-type="bibr" rid="B91">2013</xref>; <xref ref-type="bibr" rid="B96">Weiss&#xa0;et&#xa0;al., 2022</xref>).</p>
<p>The deflection or rotation effects are related to the change of the global orientation of a FR in the heliosphere, but their physical cause may be completely different. (e.g., <xref ref-type="bibr" rid="B86">Vourlidas&#xa0;et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B54">Nieves-Chinchilla&#xa0;et&#xa0;al., 2012</xref>). While the deflection is mostly driven by the force imbalance with the solar wind (<xref ref-type="bibr" rid="B93">Wang&#xa0;et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B32">Kay&#xa0;et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B78">Sahade&#xa0;et&#xa0;al., 2020</xref>), the rotation appears to be an internal magnetic instability (see for instance, <xref ref-type="bibr" rid="B46">Lynch&#xa0;et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B18">Florido-Llinas&#xa0;et&#xa0;al., 2020</xref>). Currently, running MHD simulations can be computationally expensive in time and resources and prevent us from testing different assumptions and conditions.</p>
<p>Finally, the erosion effect might significantly contribute to CME evolution. This well-known observed effect at the front, and sometimes also at the back, of <italic>in situ</italic> observations of FRs is due to the magnetic reconnection of the FR magnetic field with the ambient interplanetary magnetic field. This may impact the FR&#x2019;s magnetic flux, twist, helicity, and cross-sectional area by &#x201c;peeling off&#x201d; its outer layers (<xref ref-type="bibr" rid="B76">Ruffenach&#xa0;et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B63">Pal&#xa0;et&#xa0;al., 2020</xref>, <xref ref-type="bibr" rid="B64">2021</xref>; <xref ref-type="bibr" rid="B71">Pezzi&#xa0;et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B65">Pal&#xa0;et&#xa0;al., 2022a</xref>; <xref ref-type="bibr" rid="B67">Pal, 2022</xref>; <xref ref-type="bibr" rid="B75">Rodr&#xed;guez-Garc&#xed;a&#xa0;et&#xa0;al., 2022</xref>). Magnetic reconnection is also associated with the internal changes of the FR, e.g., impacting the complexity of the in situ magnetic field profiles and/or the FR boundary layers (see, e.g., <xref ref-type="bibr" rid="B17">Feng&#xa0;et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B30">Hwang&#xa0;et&#xa0;al., 2020</xref>).</p>
<p>In this section, we have focused on the open challenges of large-scale FRs in the heliosphere associated with CMEs. However, all of these challenges can be extrapolated to other FRs in the heliosphere such as small-scale FRs or FTEs, for instance. In any case, we lack of a current effort to understand the physical characteristics of the FR internal structures, the changes as they evolve in the heliosphere, and the way the innate FR features connect to the matured structure&#x2019;s features. Above all, there is a need to investigate how the temporal and spatial evolution impacts the stability, equilibrium, morphology, and entity of FRs.</p>
</sec>
<sec id="s4">
<title>4 The challenge of puzzling out flux ropes in the heliosphere</title>
<p>To study the FRs&#x2019; internal structure and evolution at any point of the heliosphere, it is customary to assemble observations from different assets in space, connect them with different models and data-analysis techniques, and elaborate on a scenario that reasonably describes their source region and the impact of the evolution on their structure. <xref ref-type="fig" rid="F1">Figure&#xa0;1</xref> illustrates an exercise of connecting the remote and local <italic>in situ</italic> measurements of a FR at its source and in the inner heliosphere (see also <xref ref-type="bibr" rid="B68">Palmerio&#xa0;et&#xa0;al., 2018</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Example featuring the process of connecting the remote-sensing observations (from STEREO/EUVI and STEREO/COR2 and COR1) of a FR (left) and its local <italic>in-situ</italic> measurements (right) to infer the global internal structure and heliospheric evolution (middle). The two top images are reproduced from <xref ref-type="bibr" rid="B58">Nieves-Chinchilla&#xa0;et&#xa0;al. (2020)</xref> and the bottom cartoon is an adapted version of the Figure 4.5 in <xref ref-type="bibr" rid="B100">Carcaboso Morales (2021)</xref>.</p>
</caption>
<graphic xlink:href="fspas-10-1114838-g001.tif"/>
</fig>
<p>However, the unavailability of enough multi-point observations often misleads us in interpreting the global structure of FRs. We use different models and data-analysis techniques to bridge the gap resulting from the lack of observations with the caveat that these models can differ significantly from each other and can lead to different conclusions. For example, most models that use white-light observations (coronagraphs and heliospheric imagers) to study FR evolution fit static geometrical structures to match the morphology of a CME in simultaneous images (<xref ref-type="bibr" rid="B83">Thernisien&#xa0;et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B75">Rodr&#xed;guez-Garc&#xed;a&#xa0;et&#xa0;al., 2022</xref>). These models do not include magnetic field information, and require multi-view points to (very often poorly) reproduce the 3D structure of the FR (see the discussion in <xref ref-type="bibr" rid="B53">Nieves-Chinchilla&#xa0;et&#xa0;al., 2022a</xref>). Furthermore, they do not provide thorough information about the evolutionary physical processes.</p>
<p>On the other hand, physical models that include magnetic field estimations (i.e., FR fitting models) are designed to match local <italic>in situ</italic> measurements and rely on, in the best scenarios, on single/few-point observations with relatively small spatial and varied temporal separations (e.g., <xref ref-type="bibr" rid="B69">Palmerio&#xa0;et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B95">Weiss&#xa0;et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B66">Pal&#xa0;et&#xa0;al., 2022b</xref>). Contemporary FR fitting approaches are not necessarily guaranteed to work well on larger scale separations (e.g., <xref ref-type="bibr" rid="B95">Weiss&#xa0;et&#xa0;al., 2021</xref>) as the simplifications in these models can break down. However, it is not well understood if by increasing the number of local FR measurement points, the FR reconstruction capabilities will improve unless the appropriate modeling techniques are developed in lockstep.</p>
<p>The aforementioned aspects prevent us from reaching a comprehensive understanding of FRs in the heliosphere. The ultimate challenge is to develop a model that is able to consistently respond to the wealth of observations and the evolution of these structures. From our perspective, to address this challenge, in addition to increasing space-based observations, the community should also make an effort to develop fundamental physics to explore the diversity of FRs in the heliosphere as well as to develop new techniques and approaches to further investigate their stability, dynamics, and interaction with the surrounding environment.</p>
</sec>
<sec id="s5">
<title>5 Proposed strategies</title>
<p>Here we summarize the challenges that result from the discussion in the previous sections and strategies to address those challenges. The goal of this perpective article is to raise awareness in the scientific community of the importance of magnetic FRs as a fundamental and ubiquitous magnetic structure in Heliophysics.</p>
<sec id="s5-1">
<title>5.1 Challenges that have arisen from studies</title>
<p>The primary question that challenges our current understanding of FRs in the heliosphere is:</p>
<boxed-text id="dBox1">
<p>Are all flux ropes in the heliosphere alike in terms of morphology, magnetic and plasma properties, and dynamics?</p>
</boxed-text>
<p>To address this main issue, in the coming years, we, as a community, should aim to answer the following questions.<list list-type="simple">
<list-item>
<p>&#x2022; Does the FR formation mechanism determine its internal magnetic structure and the impact of its subsequent evolution?</p>
</list-item>
<list-item>
<p>&#x2022; How does the temporal and spatial evolution impact the stability, equilibrium, morphology, and entity of FRs?</p>
</list-item>
<list-item>
<p>&#x2022; Can all FRs be understood <italic>via</italic> a single model?</p>
</list-item>
</list>
</p>
</sec>
<sec id="s5-2">
<title>5.2 Strategies to address the challenges</title>
<p>
<list list-type="simple">
<list-item>
<p>&#x2022; <bold>Future Missions</bold>
</p>
</list-item>
<list-item>
<p>&#x2009;&#x2009;&#x2009;&#x2009;&#x2009;As for any research in Space Physics, space assets tailored to solve specific problems are required. Here, we enumerate the most relevant instrumentation needed to tackle the pending fundamental questions regarding FRs. However, one of the pending tasks is to integrate the current observations into a single meta-data base. Thus, as the Heliophysics fleet of spacecraft grows, the upcoming observations can be seamlessly integrated.</p>
</list-item>
</list>
</p>
<p>Constellations of spacecraft should bring the opportunity to develop techniques and approaches to the problem from different perspectives. An example of this is the novel approach developed by <xref ref-type="bibr" rid="B2">Ayora&#xa0;Mexia. (2022)</xref> to evaluate the internal magnetic field current density distribution within FRs. <xref ref-type="fig" rid="F2">Figure&#xa0;2</xref> illustrates the different spacecraft constellation formations to implement the curl-meter technique and to obtain the internal current density distribution within a FR.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Exploring the efficiency of the curl-meter technique using five different types of tetrahedra as a function of elongation and planarity. According to <xref ref-type="bibr" rid="B2">Ayora&#xa0;Mexia. (2022)</xref>, the pseudo-sphere is the best constellation formation to obtain the internal current density distribution within a FR.</p>
</caption>
<graphic xlink:href="fspas-10-1114838-g002.tif"/>
</fig>
<p>In the case of the formation and early evolution of FRs, it is crucial to improve remote-sensing capabilities at low coronal heights. Upcoming new instrumentation filling the prevailing gap between 1.3 and 2.2 solar radii for uninterrupted coronal observations is of vital priority in this regard. Moreover, tracking and understanding the continuous evolution of solar FRs in the interplanetary medium as they propagate towards Earth, requires L4/L5 remote-sensing instrumentation with improved detection capabilities (e.g., <xref ref-type="bibr" rid="B3">Bemporad, 2021</xref>).</p>
<p>Multiple probing of FRs at different heliocentric distances and at different latitudes and longitudes may be used for classifying the large and small-scale FRs&#x2019; spatial and temporal behavior and their evolution, which in turn may lead us to uncover their origin. Multi-point observations will help in validating the model results meant for reconstructing complex FR structures and thereby leading to improvements in the models.<list list-type="simple">
<list-item>
<p>&#x2022; <bold>Data Assimilation and Visualization</bold>
</p>
</list-item>
<list-item>
<p>&#x2009;&#x2009;&#x2009;&#x2009;&#x2009;In order to decipher the internal structure and evolution of complex FRs, we need to enable the human mind to synthesize and make sense of the existing remote-sensing and <italic>in situ</italic> measurements by bringing clarity to how and where diverse observations connect. 1D, 2D, and multi-point observations from a variety of missions may all hold a piece of the story but are separated in space, time, and instrumental focus. As mentioned above, one of the pending tasks in the Heliophysics community is to integrate the current observations into a single meta-data base, enabling the focus on the scientific problem without the burden of the inter-calibration of instruments. Efforts in this direction have been made by the community, see for instance <ext-link ext-link-type="uri" xlink:href="https://parker.gsfc.nasa.gov/icme_lists.html">https://parker.gsfc.nasa.gov/icme_lists.html</ext-link> or <ext-link ext-link-type="uri" xlink:href="http://fluxrope.info">http://fluxrope.info/</ext-link>. The first link attempts to provide a catalog of <italic>in situ</italic> CME events and reconstructions based on a circular-cylindrical (CC) and elliptical-cylindrical (EC) model (see <xref ref-type="bibr" rid="B56">Nieves-Chinchilla&#xa0;et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B55">Nieves-Chinchilla&#xa0;et&#xa0;al., 2018</xref>). The Second link systematically lists the small-scale FRs observed <italic>in situ</italic> by different missions using an automatic method based on the Grad-Shafranov reconstruction technique (see <xref ref-type="bibr" rid="B27">Hu and Sonnerup, 2002</xref>; <xref ref-type="bibr" rid="B28">Hu&#xa0;et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B26">Hu, 2021</xref>; <xref ref-type="bibr" rid="B29">Hu&#xa0;et&#xa0;al., 2022</xref>, for more information). The next step will be the development of visualization tools that will allow tackling the multidimensional problem and connecting with modeling in an integrated fashion. Working in this direction may be also connected with artificial intelligence techniques.</p>
</list-item>
<list-item>
<p>&#x2022; <bold>Artificial Intelligence and Machine Learning</bold>
</p>
</list-item>
<list-item>
<p>&#x2009;&#x2009;&#x2009;&#x2009;&#x2009;There has been a recent increase in machine learning applications in space weather, with the community identifying three key usages (<xref ref-type="bibr" rid="B4">Camporeale&#xa0;et&#xa0;al., 2018</xref>): 1) automatically identifying events/features that are traditionally time-consuming and error-prone <italic>via</italic> manual selection; 2) methods to study causality and cluster similar events with the aim of deepening our physical understanding; and 3) techniques to forecast space weather events from solar images, solar wind, and geospace <italic>in situ</italic> data. Because there are only sparse sets of measured data from within identified FRs, we should continue the work to leverage the combination of machine learning techniques with both measured data and synthetic data, from simulated FR models. Early results have shown a tantalizing glimpse of how this synergy of methods can inform our understanding of the structure and evolution of FRs, while also validating physics-based models. Using a convolutional neural network, <xref ref-type="bibr" rid="B14">dos&#xa0;Santos&#xa0;et&#xa0;al. (2020)</xref> created a binary classifier that learned to predict if a FR was or was not present in a given interval of solar wind data. <xref ref-type="bibr" rid="B51">Narock&#xa0;et&#xa0;al. (2022)</xref> subsequently used a related deep neural network to predict the orientation of the identified FRs. <xref ref-type="bibr" rid="B52">Nguyen&#xa0;et&#xa0;al. (2018)</xref> have explored machine learning techniques for automated identification of CMEs <italic>in situ</italic>, and <xref ref-type="bibr" rid="B73">Reiss&#xa0;et&#xa0;al. (2021)</xref> used machine learning to predict the minimum Bz value as a FR was sweeping past a spacecraft. This recent research demonstrates the potential for an integrated machine learning workflow to autonomously identify and classify FR events, alleviating much of the tedious and time-consuming manual component.</p>
</list-item>
<list-item>
<p>&#x2022; <bold>Exploring New Flux Rope Models by Developing More Theory and Laboratory Research</bold>
</p>
</list-item>
<list-item>
<p>&#x2009;&#x2009;&#x2009;&#x2009;&#x2009;Currently we lack a comprehensive understanding of realistic FR morphology and internal distribution of the plasma and magnetic field (see examples in <xref ref-type="bibr" rid="B96">Weiss&#xa0;et&#xa0;al., 2022</xref>). As we evolve in this knowledge, we need more physics-driven models, both numerical and analytical, to connect observations and understand the physical processes associated with FR interaction with the space environment. We recommend developing specific programs that support this goal, including long-term studies to develop FR models and fundamental investigations to analyze the effects of evolutionary processes from a theoretical perspective. We also recommend the coordination with laboratory plasma physics to test advances in a controlled laboratory environments (see e.g., <xref ref-type="bibr" rid="B99">Zweibel and Yamada, 2016</xref>; <xref ref-type="bibr" rid="B20">Gekelman&#xa0;et&#xa0;al., 2020</xref>)</p>
</list-item>
</list>
</p>
<p>As a final remark, we emphasize that improving our understanding of heliospheric FRs using technologies and modeling techniques would not only have an impact on fundamental physics understanding and on deep-space exploration, but also result in a significant societal benefit by enhancing the predictability of adverse space weather conditions.</p>
</sec>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>TNC was responsible for the organization and preparation of this article. All authors contributed and provided inputs on the manuscript. All authors revised the manuscript before submission. This paper is a version of the white paper submitted to the Heliophysics Decadal Survey (<xref ref-type="bibr" rid="B53">Nieves-Chinchilla et al. 2022a</xref>).</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>TN-C acknowledges the support of NASA Solar Orbiter, STEREO, PSP missions, and Heliophysics Internal Funds (HIF) programs. LRG acknowledges the financial support by the Spanish Ministerio de Ciencia, Innovaci&#xf3;n y Universidades FEDER/MCIU/AEI Projects ESP2017-88436-R and PID2019-104863RB-I00/AEI/10.13039/501100011033 and by the European Union&#x2019;s Horizon 2020 research and innovation program under grant agreement No. 101004159 (SERPENTINE). RMW and EED acknowledge support from NASA grant 80NSSC19K0914 and partial support from the NASA STEREO grant 80NSSC20K0431. EP acknowledges NASA&#x2019;s HTMS program (grant no. 80NSSC20K1274). HC is member of the &#x201c;Carrera del Investigador Cient&#xed;fico&#x201d; of CONICET.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>Authors AN and NA were employed by the company ADNET Systems, Inc. LD was employed by the company Shell Global Slutions (United States) Inc. EP was employed by the company Predictive Science Inc.</p>
<p>The remaining 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 sec-type="disclaimer" id="s10">
<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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