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.
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
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:
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 [V A ] within the CME at a range of heliocentric distances. We also estimate the geometric speed of separation of plasma parcels [V G ] within the CME that results from purely radial heliocentric propagation. For a range of CME parameters, we determine the heliocentric distance at which V G exceeds V A and hence information can no longer propagate within the CME.
-
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.
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 [V A ] within the CME at a range of heliocentric distances. We also estimate the geometric speed of separation of plasma parcels [V G ] within the CME that results from purely radial heliocentric propagation. For a range of CME parameters, we determine the heliocentric distance at which V G exceeds V A 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, V
A
), relative to the speed at which CME plasma parcels separate owing to radial propagation in spherical geometry [V
G
]. Where V
G
exceeds V
A
, 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 V
A
from point P
B
, which lies within the CME at the latitude of the solar wind speed shear, towards a point P
A
, located near the centre of the CME. Geometric expansions means that P
B
is moving away from P
A
at a speed V
G
. If V
G
> V
A
, as shown in this example, information cannot travel between the two points. Thus P
A
and P
B
are effectively isolated, and the response of the CME at points P
A
and P
B
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 V
G
, the deflected solar wind flow within the sheath (labelled V
SH
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.
We estimate V
A
and V
G
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.
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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