Artist's depiction of an active sun that has released a coronal mass
ejection or CME. CMEs are magnetically generated solar phenomenon that
can send billions of tons of solar particles, or plasma, into space that
can reach Earth one to three days later and affect electronic systems
in satellites and on the ground. Credit: NASA
The following interesting paper was published in Nature. It shows more light into the mystery of what is CME and how it evolves from the Sun to the Earth.
Coronal mass ejections are not coherent magnetohydrodynamic structures
Coronal mass ejections (CMEs) are episodic eruptions of solar plasma and
magnetic flux that travel out through the solar system, driving extreme
space weather. Interpretation of CME observations and their interaction
with the solar wind typically assumes CMEs are coherent, almost
solid-like objects. We show that supersonic radial propagation of CMEs
away from the Sun results in geometric expansion of CME plasma parcels
at a speed faster than the local wave speed. Thus information cannot
propagate across the CME. Comparing our results with observed properties
of over 400 CMEs, we show that CMEs cease to be coherent
magnetohydrodynamic structures within 0.3 AU of the Sun. This suggests
Earth-directed CMEs are less like billiard balls and more like dust
clouds, with apparent coherence only due to similar initial conditions
and quasi homogeneity of the medium through which they travel. The
incoherence of CMEs suggests interpretation of CME observations requires
accurate reconstruction of the ambient solar wind with which they
interact, and that simple assumptions about the shape of the CMEs are
likely to be invalid when significant spatial/temporal gradients in
ambient solar wind conditions are present.
Introduction
Coronal
mass ejections (CMEs) are large, episodic eruptions of coronal plasma
and magnetic flux that are ejected out into the heliosphere at speeds
typically1 ranging from 300–2000 km s−1. They are of great interest both for their central role in extreme space weather2, 3 and in the solar cycle evolution of the coronal magnetic field4, 5. In situ
spacecraft observations of CMEs show that around a third to a half of
all CMEs contain a magnetic flux-rope structure and low plasma beta6, 7.
These “magnetic clouds” are generally assumed to be (quasi-) coherent
magnetohydrodynamic (MHD) structures, wherein the magnetic pressure and
curvature forces act, to a greater or lesser extent, to resist
deformation by external forces such as solar wind speed shear. This, in
principle, enables a magnetic cloud to evolve as a single cohesive body.
For example:
Observations of CME-CME interactions in the heliosphere8 have been interpreted as elastic or even super-elastic collisions9, suggesting the CMEs are solid-like, coherent structures.
Non-radial deflection of CME trajectories, possibly by interaction with coronal hole magnetic flux, has been observed10,11,12.
While this has largely been interpreted as centre-of-mass deflection,
which would require the CME to behave as a coherent structure,
distortion of the CME shape could equally explain the available
observations.
Methods for tracking CMEs through the corona and
heliosphere assume the CME front remains quasi-spherical (or some other
simple shape)13,14,15,16,
implying the CME front remains a coherent structure throughout the
heliosphere. There is observational evidence, however, for significant
disruption of CME structure by solar wind inhomogeneity17.
Numerous studies (including some by the authors of present paper) either explicitly or implicitly assume that single-point in situ measurements of a magnetic cloud are representative of its global structure7, 18,19,20,21,22,23,24, implying a large degree of coherence of CMEs. Single-25 and multi-point26, 27
observations, even at relatively modest spacecraft separations, often
reveal this picture to be far too simplistic, with evidence of CME
distortion by the ambient solar wind.
Numerical MHD models provide a complementary
means to test the coherence of CMEs. There have been a number of
numerical experiments investigating interaction of CMEs both with a
structured solar wind and other CMEs, which often reveal significant
distortion of CME structure28,29,30,31,32,33.
Interpretation of the results, however, has largely focussed on the
issue of force balance, with internal magnetic pressure/curvature from
the magnetic flux-rope unable to resist distortion from interaction with
external solar wind structures.
Here, we investigate a
fundamental physical limit on a CME’s ability to act as a coherent
magnetohydrodynamic structure; namely the inability of information to
propagate within a CME. We use a simple analytical model for CME
evolution in the heliosphere to calculate the Alfvén wave speed [VA] within the CME at a range of heliocentric distances. We also estimate the geometric speed of separation of plasma parcels [VG] within the CME that results from purely radial
heliocentric propagation. For a range of CME parameters, we determine
the heliocentric distance at which VG exceeds VA and hence information can no longer propagate within the CME.
Discussion and Conclusions
This study has investigated the speed at which information can propagate between CME plasma parcels (the Alfvén speed, VA), relative to the speed at which CME plasma parcels separate owing to radial propagation in spherical geometry [VG]. Where VG exceeds VA, plasma parcels can no longer be considered to constitute a single, coherent magnetohydrodynamic (MHD) structure. Figure 4
illustrates this idea. It shows a CME travelling through fast solar
wind, but the upper flank encounters a slow wind stream. This results in
distortion of the magnetic field structure within the CME. An Alfven
wave is launched at a speed VA from point PB, which lies within the CME at the latitude of the solar wind speed shear, towards a point PA, located near the centre of the CME. Geometric expansions means that PB is moving away from PA at a speed VG. If VG > VA, as shown in this example, information cannot travel between the two points. Thus PA and PB are effectively isolated, and the response of the CME at points PA and PB to a structured solar wind is entirely
independent; there can be no action as a single body, regardless of the
magnitude of restoring forces such as magnetic pressure and curvature
forces. A similar effect is expected within the deflected solar wind
flow in the sheath region ahead of a fast moving CME39. Due to the large VG, the deflected solar wind flow within the sheath (labelled VSH in Fig. 4)24 cannot keep pace with a point on the leading edge and thus does not flow around the obstacle, but piles up ahead of it.
Figure
4
A schematic of one flank of a CME (white) propagating through a structured solar wind, in the reference frame of a point PA, located close to the centre of the CME. The shock (thick black line), and CME leading/trailing edges move away from PA at the CME expansion speed, VEX. Fast solar wind, in beige, flows into the CME shock at a speed VTR + VEX − VFSW (VTR and VFSW are the CME transit speed and the fast
solar wind speed, respectively). Slow solar wind, in blue, flows into
the shock at a speed of VTR + VEX − VSSW, (where VSSW is the slow solar wind speed). The point PB, located at the fast/slow solar wind
interface, experiences a distortion of the CME magnetic field and
launches an Alfven wave at speed VA towards PA. Point PB, however, is moving away from PA due to geometric expansion at a speed VG, thus the information can never arrive. Similarly, VSH, the speed of the deflected solar wind flow in the sheath behind the shock, is smaller than VG and thus the sheath flow cannot travel around the CME.
We estimate VA and VG using an analytic model, allowing parameter space
to be fully and efficiently explored. Where simplifying assumptions are
required, they have been chosen as far as possible to act in the favour
of CME coherence (e.g., limiting the expansion of CMEs to the radial
direction reduces VG; coherence is defined to be lost when VG exceeds VA,
rather than when the information travel time becomes large compared to
the CME life time; helium is not included in the Alfvén speed
estimation, etc). Thus we effectively examine the “best case scenario”
for CME coherence. Nevertheless, we find that all observed CMEs lose
coherence over their full angular extent by 0.1 to 0.2 AU. Even
considering Alfvén wave propagation over half the typical CME angular
extent, which would allow, e.g., the east flank of an ICME to know
what’s happening to the west flank, no observed CMEs are expected to
maintain coherence to 1 AU; indeed, less than 0.5% of all observed CMEs
are expected to maintain flank-to-flank coherence past 0.3 AU.
One
aspect that requires further investigation is the assumption that the
fastest information path between two points is a straight line. While
this is true for the analytical model employed here, as it has constant
magnetic field intensity within a CME, in a real magnetic cloud this
need not be the case. For an ideal force-free magnetic flux rope, the
magnetic field intensity is highest at the flux rope axis (i.e., the
centre of the CME). Thus shorter information travel times between two
points on the CME leading edge could, in principle, be obtained using a
non-linear ray path taking advantage of the increased Alfvén speed deep
within the CME. An alternative preferential wave path could be through
the high magnetic field intensities in the sheath region ahead of a fast
CME, though the sheath is often high plasma density too, meaning the
Alfvén speed may not be enhanced. These dynamic effects will be fully
investigated using numerical magnetohydrodynamic modelling of an
erupting magnetic flux rope and ray-tracing at each time step. In
practice, however, these effects are unlikely to provide significantly
different results to those presented here. Any increased Alfvén speed
will be offset by an increased path length, and compression of the CME
leading edge by interaction with the ambient solar wind means the
highest magnetic field intensities are usually located near the CME
leading edge, not near the centre of the CME35.
In
light of these findings, new approaches are required for the
interpretation of CME observations. We discuss a few examples here. The
highly structured intensity patterns routinely seen within CMEs in
Heliospheric Imager (HI) observations40
by the STEREO spacecraft may be a direct result of both the scale of
coherence within a CME and the variability of the solar wind through
which a CME is travelling. These relatively small-amplitude, small-scale
structures are unlikely to be a significant issue for interpretation of
the global properties of CMEs, either with the geometric models applied
to HI observations to determine CME speed and direction13, or to flux-rope models applied to in situ observations18.
Larger amplitude gradients in the solar wind, however, such as a sharp
latitudinal or longitudinal transition between fast and slow wind (Fig. 4),
are likely to invalidate both forms of reconstruction technique by
generating both large distortion to the CME shape and radically altering
the pile-up of the solar wind plasma in the CME sheath, which is the
plasma that is imaged by Thompson-scattered photospheric light. The
results presented here also suggest CME arrival-time forecasting is
sensitive to ambient solar wind structure at the local scale, not just
at a global scale41: application of a drag equation to a CME’s interaction with the solar wind42
is only really valid along an individual radial flow line, not to the
CME as a whole. We suggest CME reconstruction techniques need to be
modified to incorporate information about solar wind structure, either
from global MHD models or from previous solar wind observations (e.g.,
assuming corotation of the solar wind). Ultimately, this may require
solar wind data assimilation, to best interpolate and extrapolate
between the available observations using physics-based models32.
https://www.nature.com/articles/s41598-017-04546-3
see also
http://www.nature.com/nature/journal/v544/n7651/full/nature22050.html
https://www.nasa.gov/mission_pages/sunearth/science/cme-graphic.html
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