The Inhomogeneity of Composition along the Magnetic Cloud Axis

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The Inhomogeneity of Composition along the Magnetic Cloud Axis
The Inhomogeneity of Composition along the
                                               Magnetic Cloud Axis
                                               Hongqiang Song 1,2∗ , Qiang Hu 3 , Xin Cheng 4 , Jie Zhang 5 , Leping Li 2 , Ake
                                               Zhao 6 , Bing Wang 1 ,Ruisheng Zheng 1 , and Yao Chen 1
                                               1 Shandong   Provincial Key Laboratory of Optical Astronomy and Solar-Terrestrial
                                               Environment, and Institute of Space Sciences, Shandong University, Weihai, China
arXiv:2106.15834v1 [astro-ph.SR] 30 Jun 2021

                                               2 CAS Key Laboratory of Solar Activity, National Astronomical Observatories,

                                               Chinese Academy of Sciences, Beijing, China
                                               3 Department of Space Science and CSPAR, University of Alabama in Huntsville,

                                               Huntsville, Alabama, USA
                                               4 School of Astronomy and Space Science, Nanjing University, Nanjing, China
                                               5 Department of Physics and Astronomy, George Mason University, Fairfax,

                                               Virginia, USA
                                               6 College of Physics and Electric Information, Luoyang Normal University, Luoyang,

                                               China
                                               Correspondence*:
                                               Hongqiang Song
                                               hqsong@sdu.edu.cn

                                               ABSTRACT

                                                 Coronal mass ejections (CMEs) are one of the most energetic explosions in the solar system. It
                                               is generally accepted that CMEs result from eruptions of magnetic flux ropes, which are dubbed
                                               as magnetic clouds in interplanetary space. The composition (including the ionic charge states
                                               and elemental abundances) is determined prior to and/or during CME eruptions in the solar
                                               atmosphere, and does not alter during magnetic cloud propagation to 1 AU and beyond. It
                                               has been known that the composition is not uniform within a cross section perpendicular to
                                               magnetic cloud axis, and the distribution of ionic charge states within a cross section provides
                                               us an important clue to investigate the formation and eruption processes of flux ropes due to
                                               the freeze-in effect. The flux rope is a three-dimensional magnetic structure intrinsically, and it
                                               remains unclear whether the composition is uniform along the flux rope axis as most magnetic
                                               clouds are only detected by one spacecraft. In this paper we report a magnetic cloud that was
                                               observed by ACE near 1 AU on 1998 March 4–6 and Ulysses near 5.4 AU on March 24–28
                                               sequentially. At these times, both spacecraft were located around the ecliptic plane, and the
                                               latitudinal and longitudinal separations between them were ∼2.2◦ and ∼5.5◦ , respectively. It
                                               provides us an excellent opportunity to explore the axial inhomogeneity of flux rope composition,
                                               as both spacecraft almost intersected the cloud center at different sites along its axis. Our
                                               study shows that the average values of ionic charge states exhibit significant difference along
                                               the axis for carbon, and the differences are relatively slight but still obvious for charge states
                                               of oxygen and iron, as well as the elemental abundances of iron and helium. Besides the

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Song et al.                                                                    The Inhomogeneity of Composition

means, the composition profiles within the cloud measured by both spacecraft also exhibit some
discrepancies. We conclude that the inhomogeneity of composition exists along the cloud axis.
Keywords: coronal mass ejection, magnetic flux rope, interplanetary coronal mass ejection, magnetic cloud, ionic charge state,
elemental abundance

This is a provisional file, not the final typeset article                                                                   2
Song et al.                                                       The Inhomogeneity of Composition

1   INTRODUCTION                                      within ICMEs are frozen-in near the Sun [33] and
Coronal mass ejections (CMEs) are an energetic        the relative abundances of elements with different
explosive phenomenon in the solar atmosphere          first ionization potentials (FIPs) are different
[1, 2, 3, 4], and they are called interplanetary      obviously in the corona and photosphere [34, 35].
coronal mass ejections (ICMEs) after leaving the      As the composition does not alter during CME
corona. When ICMEs interact with the Earth’s          propagation to 1 AU and beyond [36], the in
magnetosphere, they can cause geomagnetic             situ data are also employed to analyze the MFR
storms [5, 6, 7] and influence the normal work of     formation [37, 28, 38] and plasma origin [39, 40]
high-tech equipments, such as the satellites, power   of CMEs. So far the most complete composition
grids and GPS navigation systems [8, 9]. Therefore,   data of ICMEs are provided by the solar wind
it is of great significance to grasp the trigger      ion composition spectrometer (SWICS) aboard
mechanisms and eruption processes of CMEs.            the advanced composition explorer (ACE) and
                                                      Ulysses, which can provide the charge states and
  The researchers of solar physics community          elemental abundances of ∼10 elements [41].
have reached a consensus that CMEs result from
                                                        When an ICME has its nose pass through a
eruptions of magnetic flux ropes (MFRs), which
                                                      spacecraft, the MFR will be detected as a magnetic
refer to a volumetric current channel with the        cloud (MC) [42, 43, 44]. This is schematically
helical magnetic field lines wrapping around
                                                      shown in Figure 1(a) (also see [45, 46] for a
the central axial field [e.g., 10, 11]. In white-     similar cartoon), where the purple arrow depicts a
light coronagraph images, CMEs often exhibit a
                                                      spacecraft trajectory crossing one ICME through
three-part structure, i.e., a bright front, a dark    its nose portion as marked with the blue rectangle.
cavity and a bright core [12]. The cavity and
                                                      Figure 1(b) displays the MFR within the rectangle,
core have been considered as the MFR cross
                                                      and the green dots represent the center of each
section and erupted filament, respectively, for
                                                      cross section. The black, blue and red arrows
several decades. However, recent studies clearly
                                                      depict three different trajectories.
demonstrate that both the filaments and hot-
channel MFRs can appear as the bright core [13,          Several statistical studies have been conducted
14, 15, 16]. The hot channels are first revealed       on ICME composition. Huang et al. [47] analyzed
through extreme-ultraviolet passbands sensitive to     the composition inside 124 MCs and reported that
high temperatures (e.g., 131 and 94 Å) [17], and      fast MCs have higher charge states and relative
they can also be observed in hard X-ray [18] and       elemental abundances (except the C/O) than slow
microwave [19] images. Researchers also suggest        ones. Owens [48] analyzed the charge states of
that the dark cavity corresponds to a low-density      carbon, oxygen, and iron within 215 ICMEs,
region with sheared magnetic field in the early        including 97 MCs and 118 non-cloud events,
eruption stage [16].                                   and found that MCs exhibit higher ionic charge
                                                       states than non-cloud events. Zurbuchen et al.
  Both theoretical and observational studies reveal [49] performed a comprehensive analysis of the
that MFRs can form prior to [20, 21, 17, elemental abundances of 310 ICMEs from 1998
22, 23] and during [24, 25, 26, 27, 28] solar March to 2011 August. They reported that the
eruptions, while they might exist before eruptions abundances of low-FIP elements within ICMEs
in more events [29]. The numerical simulations exhibit a systematic increase compared to the solar
demonstrate that the repetitive magnetic reconnections wind, and the ICMEs with elevated iron charge
could play an important role during the MFR            states possess higher FIP fractionation than the
evolution [30]. The remote-sensing observations other ICMEs. Very recently, Song et al. [50]
have been widely used to investigate the MFR           reported that all the ICME compositions possess
formation process [26, 31, 32]. The charge states the solar cycle dependence.

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Song et al.                                                             The Inhomogeneity of Composition

  In the meantime, some attentions are paid                 This implies that the two spacecraft crosses the
on the composition distribution inside each MC.             MC along two trajectories resembling the black
Song et al. [37] found that the average values              and red arrows in Figure 1(b), respectively, and
of iron charge states () can present four            provides us an excellent opportunity to explore
regular profiles along the spacecraft trajectories          whether the composition is uniform along the axis.
throughout MCs, i.e., (i) a bimodal profile with            We introduce the data in Section 2, and give the
both peaks higher than 12+, (ii) a unimodal profile         observations in Section 3. Section 4 presents the
with peak higher than 12+, (iii) and (iv) the               conclusion and discussion.
 profile remains beyond and below 12+
throughout the spacecraft trajectory inside an MC,          2 DATA
respectively. Their studies demonstrated that the           The data used in this paper are provided by several
charge states can be nonuniform within the cross            payloads on board the ACE and Ulysses spacecraft.
section of a specified MC, and suggested that the           ACE is in a halo orbit around the first Lagrangian
above profiles are tightly correlated with both the         point between the Earth and the Sun since it was
impact factor of spacecraft trajectories and the            launched in 1997. Ulysses was launched in 1990
formation process of MFRs. For example, the                 and entered an elliptical and heliocentric orbit
bimodal profile implies that the MFR exists prior           with an aphelion at ∼5.4 AU from the Sun and a
to eruption, see Figure 8 in [37] for more details. In      perihelion distance of ∼1.34 AU. Magnetic field
addition, the elemental abundances are not uniform          data are provided by the ACE/MAG [54] and
within one cross section either [39]. Therefore, a          Ulysses/Magnetic field [55] instruments. The bulk
spacecraft can detect different composition profiles        solar wind properties and the helium abundances
when it cross one MC along the blue and black               are from the Solar Wind Electron Proton Alpha
arrows as shown in Figure 1(b), which are located           Monitor (SWEPAM) [56] on board ACE and the
in the same cross section perpendicular to the              Solar Wind Observations Over the Poles of the Sun
axis but with different impact factors. However,            (SWOOPS) [57] on board Ulysses. The SWICS
whether the inhomogeneity of composition exists             instruments on board both spacecraft [58, 59] offer
along the MC axis remains unclear because most              the composition of heavy ions.
MCs are detected only by either ACE or Ulysses.
Given the MC is a three-dimensional (3D) structure          3 OBSERVATIONS
intrinsically, the axial distribution of composition        The criteria used to identify MCs near 1 AU mainly
can reveal whether different portions along the             include the enhanced magnetic field strength,
MFR axis experience different eruption processes            smoothly changing of magnetic-field direction,
in the corona.                                              declining profile of solar-wind velocity, low proton
                                                            temperature (or low plasma β), and elevated
   In this paper, we report an intriguing event,
                                                            He2+ /H+ ratio [42, 60, 61]. ACE detected an
in which an MC was observed by both ACE
                                                            MC on 1998 March 4–6 as shown in Figure 2.
on 1998 March 4–6 and Ulysses on March 24–
                                                            The purple vertical dashed line denotes the shock
28. At these times, both spacecraft were located
                                                            driven by the ICME, and the two purple dash-
around the ecliptic plane, and the latitudinal and
                                                            dotted lines demarcate the MC boundaries.
longitudinal separations between them were ∼2.2◦
and ∼5.5◦ , respectively. The Grad-Shafranov                  Figure 2(a) shows the total magnetic field
(GS) reconstruction [51, 52] demonstrated that the          strength and its three components in RTN
MC axis oriented in an approximate east-west                coordinate, where the X-axis (R) points from Sun
direction with the axis direction at Ulysses being          center to spacecraft, the Y-axis (T) is the cross
titled slightly away from that at ACE, and both             product of solar rotational axis and X axis, lying
spacecraft almost intersected the MC center [53].           in the solar equatorial plane towards the west limb,

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Song et al.                                                        The Inhomogeneity of Composition

and the Z-axis (N) is the cross product of X and       a latitudinal separation of ∼2.2◦ and a longitudinal
Y axes. The total magnetic field strength (black)      separation of ∼5.5◦ when they detected the MC.
increased obviously compared to the background         The GS reconstruction showed that the MC axis
solar wind and the Bn component (blue) changed         oriented in an approximate east-west direction, and
its direction gradually within the MC, which are       both spacecraft almost intersected the MC center
the typical features of MCs. Figures 2(b)–(d)          [53], which support that ACE and Ulysses crossed
present the velocity, density, and temperature of      the MC at different sites along its axis and provide
the ICME sequentially. The declining profile of        us an excellent opportunity to explore whether the
velocity indicates that the MFR is expanding.          axial composition is uniform.
  Ulysses detected an MC on March 24–28 [62]             We compare the composition measured by both
as shown in Figure 3, where the magnetic field,        spacecraft in Figure 4, where the black and red
velocity, density, and temperature are presented       lines represent the results of ACE and Ulysses,
from top to bottom panels sequentially. The            respectively. Please note that we only plot the
velocity profile in Figure 3(b) shows that the MC      composition within the MC, i.e, the left/right
keeps expansion during the propagation to 5.4          boundary of each panel corresponds to the MC
AU. Due to the continuous expansion, the total         start/end time. The ionic charge states (C6+ /C5+ ,
magnetic field intensity within this MC decreased      O7+ /O6+ , and ) and elemental abundances
obviously near 5.4 AU compared to ∼1 AU, see           (Fe/O and He2+ /H+ ) are presented in Figures 4(a)–
Figures 2(a) and 3(a). A shock exists within the       (e). The average values within the MC are also
MC as depicted with the red arrows in Figures          shown in each panel. The blue horizontal dashed
3(a) and 3(b), and the MC rear boundary can            lines represent the corresponding means in the
be identified through the He2+ /H+ ratio and the       slow solar wind during solar maximum [65] for
plasma β value [53]. Note that the shock does not      reference and comparison.
influence our analyses about the ionic charge states
and elemental abundances.                                Our study shows that the average values of
                                                       composition within an MC can possess significant
  Previous studies [63, 53] have confirmed that the
                                                       differences along the axis. For example, the
MC displayed in Figure (3) corresponds to that
                                                       C6+ /C5+ ratio measured by Ulysses (3.04) is 12
in Figure (2). Skoug et al. [63] fitted both MCs
                                                       times higher than that by ACE (0.23). In the
using a force-free model of magnetic field [64],       meantime, the differences could be relatively slight
and found that their central speed and cloud axis
                                                       for some compositions. For example, the O7+ /O6+
direction were very similar. The increase in MC        ratio measured by Ulysses (0.41) is higher than
diameter between 1 and 5.4 AU was also consistent
                                                       ACE (0.34) by ∼21%. The means of 
with an expanding MC. Besides, both MCs had left-      detected by both spacecraft are nearly identical
handed field structure and contained the similar
                                                       (∼10). As to the elemental abundance, the Fe/O
magnetic fluxes, which were further confirmed
                                                       ratio by ACE (0.17) is ∼42% higher than that by
by Du et al. [53] with the GS reconstruction
                                                       Ulysses (0.12), and the He2+ /H+ ratio of ACE
technique. In addition, Du et al. [53] input the
                                                       (0.093) is higher than Ulysses (0.053) by ∼75%.
plasma and magnetic field data observed by ACE
to their magnetohydrodynamic model to simulate           Besides the average values, the composition
the MC propagation and evolution to the Ulysses        profiles measured by both spacecraft also exhibit
location. They compared the model predictions          discrepancy. Figure 4(a) shows that the C6+ /C5+
and the Ulysses observations, and identified further   of Ulysses elevated at the MC center, while
that Ulysses and ACE observed the same MC. As          the ACE profile did not exhibit the central peak.
mentioned, the ACE (at ∼1 AU) and Ulysses (at          The O7+ /O6+ of Ulysses presented a multi-peak
∼5.4 AU) were located near the ecliptic plane with     profile, while ACE did not detect obvious peaks

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Song et al.                                                             The Inhomogeneity of Composition

as shown in Figure 4(b). The He2+ /H+ of ACE                that Ulysses passed through the ICME along a path
elevated in the second half as displayed in Figure          a little far from the MC center than ACE. Figure
4(e), different from the profile of Ulysses that            4(a) showed that Ulysses detected high C6+ /C5+ at
did not have large variation along the whole                its central portion, which should also be observed
path. These can rule out the possibility that the           by ACE if the composition is uniform along the
inhomogeneity of composition is induced by the              MC axis. However, the C6+ /C5+ profile of ACE
erosion [66] completely during propagation from             did not present the elevated center. Therefore,
1 AU to 5.4 AU. Moreover, the erosion effect                if assuming there were some uncertainties about
should be small for this event as both MCs have             the spacecraft path in the GS reconstruction, it
the similar magnetic fluxes as mentioned. The               will not change our conclusion about the axial
profiles of  and Fe/O measured by both               inhomogeneity of MC composition.
spacecraft also exhibit some different fluctuation            The charge states of carbon, oxygen and iron
characteristics as displayed in Figures 4(c) and            are frozen-in sequentially in the corona, i.e., the
4(d). The above results prove that the composition          frozen-in altitudes of carbon and iron are the
is inhomogeneous along the MC axis.                         lowest and highest, respectively, in these three
                                                            elements. For example, the carbon are frozen-
4   CONCLUSION AND DISCUSSION                               in below 1.5 solar radii [67, 68], while the iron
An MC was detected by ACE at ∼1 AU and                      around 3–4 solar radii [69, 70]. Therefore, the
Ulysses at ∼5.4 AU sequentially during March                obvious differences of C6+ /C5+ along the MC
1998, when both spacecraft were located around              axis imply that the different portions of MFR
the ecliptic plane. The latitudinal and longitudinal        along the axis experience eruption processes with
separations between them were ∼2.2◦ and ∼5.5◦ ,             different physical parameters (e.g., temperature,
respectively. The GS reconstruction [53] showed             density, and velocity) in the low corona. The
that the axis oriented in an approximate east-west          similar values of  indicate that the physical
direction, and both spacecraft almost intersected           parameters along the axis approached in the high
the MC center, which provided an excellent                  corona. These should be taken into account in 3D
opportunity to explore whether the composition              simulations of CMEs. The axial inhomogeneity of
is uniform along the axis. We compared the                  elemental abundances implies that the abundances
ionic charge states of carbon, oxygen, and iron             are not uniform throughout the MC source region
(C6+ /C5+ , O7+ /O6+ , and ), as well as the         on the Sun.
elemental abundances of iron and helium (Fe/O
                                                              Our study demonstrated that the axial composition
and He2+ /H+ ) along the two trajectories. The
                                                            is nonuniform inside an MC, while we can not
results showed that the average values of C6+ /C5+
                                                            conclude that this large inhomogeneity exists
exhibit significant difference along the axis, while
                                                            within each MC. More events are necessary
the differences are relatively slight but still obvious
                                                            to investigate the inhomogeneity of composition
for O7+ /O6+ , , Fe/O, and He2+ /H+ .
                                                            along the MC axis, which needs a CME
Besides the means, the composition profiles within
                                                            being detected by several spacecraft sequentially
the MC measured by both spacecraft also exhibit
                                                            or simultaneously at different locations. This
obvious discrepancies. We conclude that the
                                                            becomes more realizable as Solar Orbiter was
inhomogeneity of composition exists along the MC
                                                            launched in 2020 [71]. Besides, Chinese solar
axis.
                                                            physicists are proposing several space missions
  The magnetic field within the MC measured                 [72] to explore the Sun and solar eruption further.
by Ulysses did not exhibit the obvious changing             The Lay a Finger on the Sun [73] will launch
of direction compared with the measurements of              a spacecraft to explore the solar eruption near
ACE, see Figures 2(a) and 3(a). This might indicate         the Sun, thus it will provide more MC cases

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Song et al.                                                     The Inhomogeneity of Composition

that are measured sequentially near the Sun and       edu/ACE/ASC/level2/index.html) and the
around 1 AU combined with other spacecraft. The       Ulysses Final Archive (http://ufa.esac.
Solar Ring [74] plans to deploy six spacecraft,       esa.int/ufa/), respectively.
grouped in three pairs, on a sub-AU orbit around
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FIGURE CAPTIONS

Figure 1. Schematic drawing of the spacecraft trajectory crossing an ICME. The black dashed and solid
lines represent the shock and MFR, respectively. The red dotted lines delineate the MFR axis. The ICME
nose portion is marked with the blue rectangle in Panel (a), which is enlarged for details in Panel (b). The
blue, black, and red arrows describe the different trajectories of spacecraft, and the green dots denote the
MC center.

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Song et al.                                                                                                        The Inhomogeneity of Composition

                                                                15
                                                                10
                                                                     (a)

                            Magnetic Field (nT)
                                                                5

                                                                0
                                                                -5

                                                       -10
                                                                                                                Br Bt Bn
                                                   -15
                                                   400
                                                                     (b)
                                                   380
                      Velocity (km s-1)

                                                   360

                                                   340

                                                   320

                                                   300
                                                    60
                                                                50
                                                                     (c)
                               Density (cm-3)

                                                                40

                                                                30
                                                                20

                                                                10
                                                                0
                                                                8    (d)
                                          Temperature (104 K)

                                                                6

                                                                4

                                                                2

                                                                0
                                                                     08:00   16:00    00:00       08:00      16:00     00:00   08:00
                                                                                     Start Time (04-Mar-98 06:00:00)

Figure 2. Magnetic field and solar wind parameters measured by ACE near 1 AU. (a) Total magnetic field
strength (black) and its three components in RTN coordinate, (b)–(d) Velocity, density, and temperature
of solar wind. The purple vertical dashed line denote the shock, and the dash-dotted lines demarcate the
MC boundaries.

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Song et al.                                                                                   The Inhomogeneity of Composition

                                                  2
                                                       (a)
                       Magnetic Field (nT)
                                                  1

                                                  0

                                                  -1

                                      -2
                                                                                                      Br Bt Bn
                                     400
                                     390
                                                       (b)
         Velocity (km s-1)

                                     380

                                     370
                                     360

                                     350
                                     340
                                     1.2
                                                       (c)
                                             1.0
             Density (cm-3)

                                             0.8

                                             0.6
                                             0.4

                                             0.2
                                             0.0
                                               5
                                                       (d)
                             Temperature (10 K)

                                                  4
                             4

                                                  3

                                                  2

                                                  1

                                                  0
                                                             24-Mar   25-Mar         26-Mar         27-Mar     28-Mar
                                                                       Start Time (23-Mar-98 10:01:28)

Figure 3. Magnetic field and solar wind parameters measured by Ulysses near 5.4 AU. (a) Total
magnetic field strength (black) and its three components in RTN coordinate, (b)–(d) Velocity, density,
and temperature of solar wind. The purple vertical dashed line denote the shock, and the dash-dotted lines
demarcate the MC boundaries. The red arrows in (a) and (b) depict the shock inside the MC.

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Song et al.                                                         The Inhomogeneity of Composition

                      2.0                                                                      15
                            (a) Mean=0.23                                    ACE
           C6+/C5+
                      1.5       Mean=3.04                                    Ulysses

                                                                                                   C6+/C5+
                                                                                               10
                      1.0
                                                                                               5
                      0.5
                      0.0                                                                      0
                      1.0
                            (b) Mean=0.34
                      0.8
                                Mean=0.41
           O7+/O6+

                      0.6
                      0.4
                      0.2
                      0.0
                      13
                      12    (c) Mean=9.56
                      11
                                Mean=10.13
              
                      10
                        9
                        8
                        7
                      0.5
                            (d) Mean=0.17
                      0.4       Mean=0.12
                      0.3
            Fe/O

                      0.2
                      0.1
                      0.0
                     0.20
                            (e)Mean=0.093
                     0.15      Mean=0.053
        He2+/H+

                     0.10

                     0.05
                     0.00
                      MC start                                                            MC end

Figure 4. Composition within the MC provided by SWICS aboard ACE (black) and Ulysses (red). Panels
(a)–(e) show the C6+ /C5+ , O7+ /O6+ , , Fe/O, and He2+ /H+ sequentially, and their average values
are also presented in each panel. Note that the Ulysses values in Panel (a) correspond to the right ordinate.
The blue horizonal dashed lines depict the corresponding means of slow wind during solar maximum [65].
The MC started from 14:30 UT on March 4 (3:00 UT on March 24) and ended at 5:30 UT on March 6
(4:00 UT on March 28) for ACE (Ulysses).

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