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What are the mechanisms that produce auroral asymmetries in the conjugate hemispheres?

N. Østgaard1,, J. P. Reistad1, P. Tenfjord1, K. M. Laundal1, K. Snekvik1, S. E.

Milan1,2, S. Haaland1,3

Short title: MECHANISMS FOR ASYMMETRIC AURORAS

1

1Birkeland Centre for Space Science, Department of Physics and Technology, University of Bergen, Norway

2Department of Physics and Astronomy, University of Leicester, UK

3Max-Planck Institute, G¨ottingen, Germany

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Abstract.

2

Auroral studies have shown that there are systematic displacements and significant

3

intensity differences of the aurora in the two hemispheres. Such observations have been

4

systematically correlated with the various components of the Interplanetary Magnetic

5

Field (IMF) and hemispherical differences in solar exposure. To explain asymmetric

6

aurora both in locations and intensities three mechanisms have been suggested:

7

1) Difference in region 1 currents due to hemispheric differences in the solar wind

8

dynamo efficiency when the IMF has a significant Bx component.

9

2) Interhemispheric or asymmetric currents associated with the ”penetration” of

10

the IMF By component into the closed magnetosphere.

11

3) Interhemispheric currents due to conductivity differences in the two hemispheres.

12

In this chapter we will discuss these mechanisms and present some recent and new

13

results from investigating their relevance and importance. The effect of IMF Bx has

14

been found to be statistically significant in the region of upward region 1 current in the

15

dusk sector. We present a modified view on how IMFBy induces aBy component in the

16

closed magnetosphere and how the induced magnetic stress may produce hemispherical

17

asymmetric currents. We present statistical results of Birkeland currents that do not

18

support the existence of strong interhemispheric currents at the sunlight terminator.

19

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1. Introduction

20

The interaction between the interplanetary magnetic field (IMF) and solar wind

21

plasma with the Earth’s magnetic field has been extensively studied by measuring and

22

analyzing the auroral foot points in the polar regions. Although most of the ground

23

based data are from the northern hemisphere, conjugate studies, comparing data from

24

the southern and northern polar regions, date back to the 60s [e.g., Hargreaves and

25

Chivers, 1964; Belon et al., 1969]. To avoid the limitations imposed by clouds and

26

sunlight, conjugate aircraft flights equipped with all-sky cameras were undertaken in the

27

early 70s [Stenbaek-Nielsen et al., 1972, 1973]. Furthermore, due to spacecraft carrying

28

global imaging instruments it has been possible to study both polar regions extensively

29

and in much more detail. We have now learned that the two hemispheres do not always

30

respond similarly to solar wind forcing and magnetospheric processes, and also that the

31

different solar exposures plays an important role in producing asymmetric behavior in

32

the two hemispheres.

33

Hemispherical asymmetry in the behavior of the day-side aurora and currents

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has been well documented [e.g., Sandholt et al., 1998; Sandholt and Farrugia, 1999;

35

Zhou et al., 2000; Bobra et al., 2004; Østgaard et al., 2005a; Wing et al., 2010], but in

36

this paper we will mostly review night-side phenomena. Most studies have focused on

37

either systematic displacement of auroras or differences in auroral intensities in the two

38

hemispheres. Displacements have been seen both in latitude [Stenbaek-Nielsen and Otto,

39

1997; Laundal et al., 2010a, b] and longitude [Sato et al., 1986; Stenbaek-Nielsen and

40

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Otto, 1997; Sato et al., 1998; Frank and Sigwarth, 2003; Burns et al., 1990; Liou et al.,

41

2001b; Liou and Newell, 2010; Wang et al., 2007; Østgaard et al., 2004, 2005b;Motoba

42

et al., 2010; Østgaard et al., 2011a, b]. These displacements have been attributed to

43

asymmetric currents or directly to IMF influence on the magnetic configuration of the

44

closed magnetosphere [Stenbaek-Nielsen and Otto, 1997; Vorobjev et al., 2001; Wang

45

et al., 2007; Liou et al., 2001b; Liou and Newell, 2010; Østgaard et al., 2004, 2005b;

46

Laundal and Østgaard, 2009; Østgaard et al., 2011a, b]. Several papers have explained

47

the observed auroral intensity differences by Field-Aligned Currents (FACs) due to

48

differences in ionospheric conductivity [Stenbaek-Nielsen et al., 1972; Newell et al.,

49

1996; Sato et al., 1998; Liou et al., 2001a; Meng et al., 2001; Newell et al., 2010].

50

Statistical studies using global Polar Ultraviolet Imager (UVI) data have also shown

51

significant differences in the nightside auroral brightness in the northern hemisphere

52

due to IMF By polarity [Shue et al., 2001] and a smaller but still statistical significant

53

intensity asymmetry due to IMF Bx polarity [Shue et al., 2002]. The first report

54

from simultaneous global imaging from space discovered that theta aurora could

55

be a conjugate phenomenon [Craven et al., 1991]. However, it was shown later,

56

using simultaneous data from Polar VIS Earth camera [Frank et al., 1995] and the

57

IMAGE-FUV instruments [Mende et al., 2000] that theta aurora could also be a

58

non-conjugate phenomenon [Østgaard et al., 2003].

59

Earlier reviews of conjugate auroral studies can be found in Østgaard et al. [2007]

60

and Østgaard and Laundal [2012]. In the latter we summarized our findings combined

61

with earlier theoretical studies and suggested three mechanisms that can produce

62

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interhemispheric or asymmetric currents and different auroral brightness in the two

63

hemispheres. They will be described in the next three subsections.

64 Figure 1.

1.1. Difference in region 1 currents due to hemispheric differences in the

65

solar wind dynamo efficiency when the IMF has a significant Bx component.

66

According to the open magnetospheric model [Dungey, 1961] magnetic flux is

67

opened on the day-side and closed on the night-side. As the opened magnetic flux tubes

68

are draped down the tail the tension force on these flux tubes tends to slow them down,

69

and as first noticed by Cowley [1981b] the orientation of the IMF in the XZ plane

70

(in CGM or GSE coordinate system) would lead to different strength of the tension

71

force in the two hemispheres, as shown in Figure 1A . This tension force gives rise to

72

a current generator and as part of these currents close in the ionosphere (Figure 1B)

73

interhemispheric differences in auroral brightness should be seen in the dusk sector,

74

assuming that the current carriers are precipitating electrons. Laundal and Østgaard

75

[2009] reported a significantly brighter aurora in the southern dusk that lasted for more

76

than an hour. With a Bx > 0 dominant IMF, this observation is consistent with this

77

mechanism. Another support for this mechanism can be found in Shue et al.[2002] that

78

reported an overall brighter aurora in the northern hemisphere for IMF Bx <0.

79

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1.2. Interhemispheric or asymmetric currents associated with the

80

”penetration” of the IMF By component into the closed magnetosphere.

81

As pointed out in the Introduction many studies have reported longitudinal

82

displacement of aurora between the two hemispheres. Furthermore, they have shown

83

that this displacement is strongly correlated with IMF clock angle and IMF By. This

84

is a strong evidence that IMF By is accompanied with a By component in the closed

85

magnetosphere and creates asymmetric magnetic foot points and a twisted magnetic

86

field configuration from one hemisphere to the other. Østgaard and Laundal [2012]

87

referred to the explanation suggested by Stenbaek-Nielsen and Otto [1997], which is

88

shown in Figure 1C and is often referred to as a penetration of IMF By into the

89

closed magnetosphere. Although this description is consistent with observations of

90

non-conjugate aurora from a conjugate aircraft campaign [Stenbaek-Nielsen and Otto,

91

1997], it does not provide a detailed description of how the asymmetric stresses in the

92

tail can propagate from the common generator region in the equatorial plane to the

93

ionosphere(s). In Section 2.3 we will suggest a modified scenario where IMF By doesnot

94

penetrate but induces a By component in the closed magnetosphere. We will also argue

95

that the result is not an interhemispheric current, but an asymmetric current from the

96

plasma sheet into the two hemispheres.

97

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1.3. Interhemispheric currents due to conductivity differences in the two

98

hemispheres.

99

Richmond and Roble [1987] modeled interhemispheric currents at middle and

100

low latitudes produced by thermospheric winds. The existence of such currents

101

has been supported by observations [Olsen, 1997]. It has also been suggested that

102

interhemispheric currents should exist at high latitudes in the vicinity of the terminator,

103

but such currents have so far not been supported by direct observations. Benkevich

104

et al. [2000] modeled the redistribution of the three-dimensional current system due to

105

different ionospheric conductivity in the dark and sunlit conjugate hemispheres and

106

suggested that an interhemispheric current component can be established. According to

107

Benkevich et al.[2000] the high latitude currents (region 1), due to the low conductivity

108

in the dark hemisphere, are weak and cannot close in that hemisphere, but as the two

109

hemispheres are connected by highly conductive magnetic field lines, currents can flow

110

out of the sunlit hemisphere into the region of the large conductivity gradient in the dark

111

hemisphere near the terminator and close through the sunlit part of that hemisphere,

112

as schematically shown in Figure 1D. Laundal and Østgaard [2009] speculated that the

113

transient spot seen only in the northern hemisphere they reported could be a signature

114

of this mechanism. The strength of these currents is postulated to maximize for large

115

tilt angles and there are claims from modeling efforts that they constitute a significant

116

part of the global FAC system [Lyatskaya et al., 2014]. In Section 2.4 we will present

117

statistical results of Birkeland currents based on data from Active Magnetosphere

118

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and Planetary Electrodynamics Response Experiment (AMPERE). As will be seen,

119

the results do not support the existence of interhemispheric currents with magnitudes

120

comparable to the region 1 and 2 currents, and we will argue that the transient spot

121

reported by Laundal and Østgaard [2009] was probably not caused by this mechanism.

122

In the following we will review some results that have explored the relevance and

123

importance of these mechanisms.

124

2. Recent results

125

In this section we will review some recent results of exploring the importance of

126

these mechanisms.

127

2.1. A small statistical study of the importance of the three mechanisms

128

Reistad et al. [2013] investigated 19 hours of simultaneous global conjugate auroral

129

data containing 10 sequences with duration from 1 to 5 hours during active geomagnetic

130

conditions. The imaging data were from IMAGE FUV WIC and Polar VIS Earth

131

Camera. They identified 15 features of non-conjugate aurora, meaning features that

132

were only observed in one hemisphere or a feature that was significantly more intense

133

in one hemisphere compared to the other. They developed a fairly robust scheme in

134

order to compare intensities from the two cameras measuring two different ultraviolet

135

wavelength bands. Figure 2C shows an example of the auroral images on a rectangular

136

grid. A 2D cross correlation algorithm, similar to that used by Østgaard et al. [2011b],

137

was applied to find that the northern aurora should be shifted -1.3 Magnetic Local Time

138

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(MLT) to match the aurora in the south. The IMF had a positive Bx component and a

139

larger negative By component, while Bz was slightly negative. The two non-conjugate

140

features are marked with 1 and 2, where feature 1 is consistent with the (negative)

141

IMF By penetration mechanism and an interhemispheric current going from north to

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south (see Figure 1C, but also our revised view in Figure 4) and feature 2 with the

143

more efficient solar dynamo in the southern hemisphere, due to the positive IMF Bx

144

(see Figure 1A and 1B). Feature 2 is in the dusk sector and at the poleward edge as

145

expected for upward region 1 current.

146 Figure 2.

Similar examination was performed on all the 15 non-conjugate features and it was

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found that 7 features were consistent with the solar wind dynamo mechanism, 5 due to

148

the penetration of IMFBy and 3 due to conductivity differences. In addition, 5 features

149

could be explained by more than one mechanism. The conclusion of the paper [Reistad

150

et al., 2013] is that non-conjugate aurora is a common phenomenon and that most of

151

them were consistent with a more efficient solar wind dynamo due to a significant IMF

152

Bx component.

153

2.2. Asymmetric region 1 currents driven by difference in solar wind

154

dynamo efficiency due to IMF Bx

155

Following the results from Reistad et al. [2013] a statistical study with a larger

156

amount of data has been performed [Reistad et al., 2014] to explore whether the

157

difference in solar wind dynamo efficiency is statistically significant. For this study the

158

entire IMAGE FUV WIC dataset was used. Careful selection criteria were implemented

159

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to avoid the effect of other possible mechanisms: (1) |IMF Bx|> 2 nT, (2)|IMF By|<

160

2 nT, (3) IMF Bz <0 nT, (4) 10 <|Dipole tilt|< 30 (both hemispheres in darkness),

161

(5) more than 10 min between observations, and (6) the five criteria must be satisfied

162

for more than 10 min.

163

The images were separated in two groups, one for IMF Bx > 2 nT and one for

164

IMF Bx <−2 nT. Before the images were added together they were transformed into a

165

common 10 bin latitudinal grid defined by the polar and equatorward boundaries of the

166

aurora. The results are shown in Figure 3. In the northern hemisphere the superposed

167

images (Figure 3A and 3B) are comprised of more than 150 observations in the MLT

168

sector from 17 to 24, while for the southern hemisphere images (Figure 3D and 3E) there

169

are more than 80 observations in the same MLT sector. As can be seen in Figure 3C

170

and 3F, there are distinct intensity differences between the negative and positive IMF

171

Bx cases. The differences are seen in the dusk sector (15-19 MLT in the north and 16-20

172

MLT in the south) and at the poleward edge, most clearly in the northern hemisphere.

173

This is exactly as expected from the efficiency difference of the solar wind dynamo due

174

to IMF Bx component where this upward region 1 current closes in the poleward region

175

of the ionospheric dusk sector. A Kolmogorov-Smirnov test showed that the differences

176

are significant on a 95 % confidence level within most of the indicated regions [Reistad

177

et al., 2014].

178 Figure 3.

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2.3. Asymmetric currents that may arise from the IMF By induced stress on

179

closed field lines

180

As pointed out in Section 1.2,Østgaard and Laundal [2012] referred to the geometry

181

and the explanation suggested by Stenbaek-Nielsen and Otto [1997] (see Figure 1C).

182

This explanation considered a penetration of IMF By into the closed magnetosphere

183

through reconnection in the tail and that the transport of closed magnetic flux towards

184

the Earth would produce a gradient, ∂B∂xy ≈ Jz, in the neutral plasma sheet. Here,

185

we propose a modified scenario where IMF By does not penetrate but induces a By

186

component in the closed magnetosphere. We will also argue that the result is not an

187

interhemispheric current, but an asymmetric current from the plasma sheet into the two

188

hemispheres.

189

First, we will explain how the IMF By will induce a By component in the closed

190

magnetosphere. We consider a hypothetical event in the solar wind with IMF Bz

191

negative and where IMF By is initially zero and then jumps to a constant positive

192

value. When IMF has a By component the merging with the Earth’s magnetic field

193

will result in a dawn-dusk asymmetry of the open magnetic flux in the lobes in the two

194

hemispheres. This is shown in Figure 4A for positive IMF By (same as Figure 3a in

195

Liou and Newell [2010] and similar to Figure 5 in Khurana et al. [1996]). The added

196

magnetic flux will be opposite in the two hemispheres, and consequently the forces

197

acting on the field-lines in the two hemispheres will be oppositely directed [Cowley,

198

1981a; Liou and Newell, 2010]. These magnetic pressure forces will also affect closed

199

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field lines and lead to the longitudinal asymmetry of the foot points. The result is an

200

induced By component in the closed magnetosphere with the same direction as the

201

IMF By, as seen in Figure 4A. This is how the IMF By induces a By component in the

202

closed magnetosphere shortly after the entrance of an IMFBy component to the dayside

203

magnetopause.

204

Now, we will describe the dynamics of this induced By component. In Figure 4B

205

we illustrate how the situation will be in the mid-tail region for a magnetic field line

206

with asymmetric foot points in the two dawn cells. The situation is shown for a positive

207

IMF By, hence the crescent ”banana” convection cell is seen on the dawn side in the

208

northern hemisphere (top) and on the dusk side in the southern hemisphere (bottom).

209

The asymmetric pressure forces from the lobes, indicated by the −∇P0 arrows are

210

now balanced by the tension forces on the field line, illustrated by the −→

T arrows. For

211

simplicity, the induced By component is confined between the two black horizontal lines.

212

In the lower part of Figure 4B we illustrate the current system that will be associated

213

with the induced By component when the forces are balanced. The view is in the XZ

214

plane and again the By component is confined within the area depicted by dashed lines,

215

corresponding to the region between the horizontal black lines mentioned above. This

216

means that there will be a step-like positive gradient in ∂B∂xy on the right side (tail ward)

217

of the box and a negative gradient on the inner side (Earthward) of the box. Due to

218

Amp´ere’s law, ∂B∂xy ≈ Jz, this means that we have an upward current on the right side

219

and a downward on the left side, both shown with purple arrows. The tension forces

220

(−→

T ) that balance the pressure forces (−∇P0) require currents along X as shown by

221

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the blue and red arrows in both panels of Figure 4B. In such a balanced situation the

222

current system is closed locally and the stress on the field lines will not be transported

223

away from that region.

224

Now, we follow this field line as it convects toward the Earth (here: X =−6RE).

225

As this field line moves further inside the magnetosphere the lobe pressure will have a

226

weaker effect but the total pressure (magnetic and plasma) from the Earth becomes

227

larger. This is what we illustrate in Figure 4C. To emphasize our point, we neglect

228

the lobe pressure and represent the pressure from the Earth by −∇P0. For field lines

229

with foot points in the dawn cell this force will be dawn ward in both hemispheres (in

230

the dusk cell it will be dusk ward). In the southern hemispheres the tension force (−→ T)

231

and Earth pressure force (−∇P0) are opposite but in the northern hemisphere they

232

are both directed dawn ward. Consequently, most of the stress is transmitted towards

233

the northern ionosphere and this will act to restore symmetry of the foot-points of the

234

field line. The northern hemisphere foot point will therefore move faster than the foot

235

point in the southern hemisphere., which is consistent with the longer trajectory the

236

foot points in the ”banana” cell has to travel compared to the ”orange ” cell in order to

237

reach symmetry. The final situation is shown in Figure 4D.

238

As the stress propagates mostly into the northern ionosphere from the situation in C

239

to D, it represents a field-aligned current going from the equatorial plane to the northern

240

ionosphere. This propagation is illustrated in the lower part in Figure 4C. However, this

241

is not an interhemispheric current, but an asymmetric current. Furthermore, we would

242

expect to see the signature post midnight in the northern hemisphere in the ”banana”

243

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cell. If we had considered a flux tube convecting earthward on the dusk cell and using

244

the same argument we would expect the stress and the field-aligned current to be

245

transmitted primarily to the southern ionosphere, also the ”banana” cell. Although not

246

interhemispheric, the directions of these currents are similar as Stenbaek-Nielsen and

247

Otto [1997] suggested.

248

Three important distinctions can be made from this scenario: 1) IMF By does not

249

penetrate the magnetosphere, but through asymmetric lobe pressure it induces a By

250

component (with same sign as IMF By in the closed magnetosphere. 2) The currents

251

are not interhemispheric, but rather asymmetric from the plasma sheet into the two

252

hemispheres. 3) To establish asymmetric foot points we do not need to consider the

253

Dungey cycle with nightside reconnection ([assumed by e.g., Stenbaek-Nielsen and Otto,

254

1997; Østgaard et al., 2004]), which will be on time scale of an hour, but just the

255

build up of lobe pressure which is on a shorter time scale. In this context the role of

256

reconnection is to convect the field lines Earthward (return flow).

257

A more comprehensive explanation, model results and interpretation on how this

258

IMF By induced scenario works can be found in Tenfjord et al.[2015].

259 Figure 4.

2.4. Interhemispheric currents due to conductivity differences in the two

260

hemispheres.

261

Recent studies Lyatskaya et al. [2014]; Benkevich et al. [2000] have reported

262

modeling results which show field-aligned currents flowing between the hemispheres

263

at high latitudes. These results are based on the Maxwell’s equations in the static

264

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case, the ionospheric Ohm’s law, and the assumption that the electric potential

265

maps perfectly between the hemispheres on closed field lines. Further, an ionospheric

266

conductance pattern was assumed, as well as boundary conditions for the electric

267

potential. Benkevich et al. [2000] only used sunlight induced conductance in their

268

model, while Lyatskaya et al. [2014] included a contribution from a typical auroral oval.

269

The modeled interhemispheric FACs close the primary (R1) FAC through the opposite

270

hemisphere, depending on the conductance differences between hemispheres, leaving or

271

entering the ionosphere where gradients in the conductance are present.

272

Only indirect evidence of such currents exist (Lyatskaya et al. [2008]; Laundal

273

and Østgaard [2009]). Direct evidence is hard to obtain, because the interhemispheric

274

currents are predicted to largely coincide with the traditional current systems, and may

275

appear either as a enforcement or a reduction of such currents. However, it is known

276

that the traditional currents system can be imbalanced into the two the hemispheres,

277

for example when the ionospheric conductance is different [Ohtani et al., 2005]. We will

278

term these as asymmetric currents. As these asymmetric currents can flow into the

279

ionosphere very close to where the interhemispheric currents predicted by Lyatskaya

280

et al. [2014] and Benkevich et al. [2000], it can be difficult to distinguish between the

281

two.

282

Here we address one of the key properties of this type of interhemispheric currents,

283

namely that they connect to conductance gradients. Using AMPERE data, we calculate

284

global maps of median current densities with the position of the sunlight terminator

285

held fixed. Benkevich et al. [2000] predicted that the interhemispheric currents at the

286

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terminator are comparable to the R1 current, and thus we expect that they would be

287

visible in the AMPERE maps as a perturbation to the existing current system. We

288

focus on the conductance gradient at the terminator, since its location is much more

289

predictable than the generally sharper gradients associated with particle precipitation.

290

The results are shown in Figure 5. The location of the sunlight terminator is

291

confined within the red lines in each plot labeled A, B, ... H. In addition, we require

292

negative IMF Bz to ensure sufficiently strong R1 currents. We also require a stable

293

current pattern, using the mean relative overlap defined by Anderson et al. [2008],

294

which we calculate based on patterns 20 minutes apart, and require to be greater than

295

0.45. The number of AMPERE current maps in each plot is indicated in the lower left

296

corners. Below the average AMPERE maps, we show the mean R1 current as a function

297

of hour angle from the midnight meridian. The R1 current in this case is defined as the

298

mean upward current at dusk MLT sectors and mean downward current at dawn. Each

299

plot correspond to the above maps labeled by the same letter. The vertical bars show

300

where the terminator crosses the peak R1 current.

301

The AMPERE maps show that the Birkeland currents increase with solar

302

illumination everywhere except the pre-midnight region. This variation is similar to

303

what was reported by Ohtani et al. [2005] and Green et al. [2009]. This behavior is

304

consistent with the Birkeland currents scaling with the conductance, produced primarily

305

by sunlight except pre-midnight, where particle precipitation dominates. The particle

306

precipitation in this region is stronger in darkness on average [Newell et al., 2010].

307

An expected signature from interhemispheric currents would be a localized

308

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perturbation, close to the terminator. No consistent perturbation is seen in Figure

309

5. From this we conclude that any interhemispheric currents of the kind proposed

310

by Benkevich et al. [2000] must be weaker than what their computations show. It

311

is therefore not likely that such currents, at least those associated with the sunlight

312

terminator, contribute significantly to asymmetries in auroral intensity.

313 Figure 5.

3. Summary

314

In this Chapter we have reviewed some new results about non-conjugate phenomena

315

that has been reported the last couple of years. We have focused on the three suggested

316

mechanisms to produce asymmetric aurora in the conjugate hemispheres. The results

317

can be summarized as follows:

318

1. There are statistically significant brightness differences in the dusk side aurora

319

in the poleward part of the oval, when IMF has a Bx component larger than 2 nT. The

320

differences are consistent with stronger region 1 currents that flow out of the dusk side

321

ionosphere, which is expected from a more efficient solar wind dynamo due to a IMF Bx

322

component.

323

2. IMF By does indeed lead to asymmetric foot points of closed field lines. This

324

has been shown both by in situ measurements and many studies about asymmetric

325

auroral substorm onset locations. However, the IMF By does not penetrate the closed

326

magnetosphere but induces a By component with same polarity as IMF. We have

327

discussed what current systems that should be expected from this By component. We

328

have revised our earlier view and suggest that they are not interhemispheric currents,

329

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but instead pairs of balanced FAC systems transmitting the asymmetric magnetic stress

330

from the magnetospheric sources to each ionosphere.

331

3. Interhemispheric currents due to conductivity differences have been estimated

332

by models to be of similar strength as region 1 and region 2 currents. Statistical results

333

based on AMPERE data do not support the existence of currents in the vicinity of the

334

terminator with such magnitudes.

335

Acknowledgments.

336

This study was supported by the Research Council of Norway/CoE under contract

337

223252/F50. S. E. Milan received support from the Science and Technology Facilities Council

338

(UK), grant no. ST/K001000/1. We thank the AMPERE team and the AMPERE Science

339

Center for providing the Iridium-derived data products.

340

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References

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Anderson, B. J., H. Korth, C. L. Waters, D. L. Green, and P. Stauning, Statistical Birkeland

342

current distributions from magnetic field observations by the Iridium constellation,

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Ann. Geophys.,26, 671–687, 2008.

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Belon, A. E., J. E. Maggs, T. N. Davis, K. B. Mather, N. W. Glass, and G. F. Hughes,

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Conjugacy of visual auroras during magnetically quiet periods, J. Geophys. Res., 74,

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1–28, 1969.

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Benkevich, L., W. Lyatsky, and L. L. Cogger, Field-aligned currents between conjugate

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hemispheres, J. Geophys. Res.,102, 27,727–27,737, 2000.

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Bobra, M. G., S. M. Petrinec, S. A. Fuselier, S. S. Claflin, and H. E. Spence, On the solar

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wind control of cusp aurora during northward IMF, Geophys. Res. Lett.,31, L04805,

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doi:10.1029/2003GL018417, 2004.

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S. E. Milan, Radio and Space Plasma Physics Group, Department of Physics and

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Figure Captions

496

Figure 1. The three suggested mechanisms for non-conjugate aurora. A) Due to a positive IMFBx (andBz <0) the magnetic tension force on open field lines (2 and 3) is larger in the southern hemisphere (black large arrows) than in the northern hemispheres (remake ofCowley [1981b] Figure 2). B) Associated current systems. C) The penetration of IMF By < 0 into the closed magnetosphere showing the pile-up region (remake of Stenbaek-Nielsen and Otto [1997] Figure 4). D) Induced interhemispheric currents due to conductivity differences in the conjugate regions for λtilt > 0 (remake of Benkevich et al. [2000] Figure 1). This Figure is similar to Figure 2 in Reistad et al.[2013]

Figure 2. The non-conjugate aurora on 02 July 2001. (C) The image pair mapped to a rectangular magnetic grid. The northern aurora has been longitudinal shifted - 1.3 MLT. Regions of non-conjugate aurora are indicated with solid blue rings, and the corresponding conjugate area with dashed blue rings. The red (black) lines indicate SZA=100 (110). D) Intensity profiles along 2.4 MLT of feature 1 where black line is northern hemisphere and red line is southern hemisphere. E) Intensity profiles along 0.3 MLT of feature 2 from both hemispheres. This Figure is similar to Figure 2C, 2D and 2E in Reistad et al.[2013]

Figure 3. Superposed images of auroral luminosity. A and D) Northern and southern hemisphere for IMF Bx negative. B and E) Northern and southern hemisphere for IMF Bx positive. C and F) The difference between the A and B, D and E. This Figure is similar to Figure 3 and Figure 4, panels A, B and C in Reistad et al. [2014]

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Figure 4. A) Asymmetric entry of magnetic flux in the lobes during positive IMF By conditions. This panel is the same as Figure 3a in Liou and Newell [2010]. B-D) A fluxtube on closed field-lines with asymmetric foot points in the dawn convection cell during IMFBy positive conditions. Upper panels show pressure, tension and asymmetric foot points into the dawn cells. Lower panels show the associated current systems seen from dusk. (B) Just after reconnection the asymmetric pressure forces due to IMFBy and the magnetic tension forces on the flux tube balance. Currents close locally as indicated in the lower panel. (C) Flux tube moves earthward and is affected by the (total) pressure gradients surrounding the Earths (plasma and magnetic field). Now the forces do not balance. In the northern hemisphere these forces point in the same direction. Hence, most of the stress is transmitted into this hemisphere and the northern foot point will catch up with the southern counterpart to restore symmetry, as seen in (D).

Figure 5. Top: Median Birkeland current densities from AMPERE, for IMFBz <0 nT, with mean relative overlap (see Anderson et al. [2008]) at 20 minutes cadence greater than 0.45. Each map are based on global Birkeland current patterns recorded when the sunlight terminator was located between the red lines. Bottom: Mean R1 current density as a function of magnetic hour angle from the midnight meridian, calculated from the above maps (correspondence indicated by the the letters a, b, ..., h). The location where the sunlight terminator crosses the peak current is indicated by dashed vertical lines.

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(30)

Figures

497

D) C) A) B)

Figure 1. The three suggested mechanisms for non-conjugate aurora. A) Due to a positive IMFBx (andBz <0) the magnetic tension force on open field lines (2 and 3) is larger in the southern hemisphere (black large arrows) than in the northern hemispheres (remake ofCowley [1981b] Figure 2). B) Associated current systems. C) The penetration of IMF By < 0 into the closed magnetosphere showing the pile-up region (remake of Stenbaek-Nielsen and Otto [1997] Figure 4). D) Induced interhemispheric currents due to conductivity differences in the conjugate regions for λtilt > 0 (remake of Benkevich et al. [2000] Figure 1). This Figure is similar to Figure 2 in Reistad et al.[2013]

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Figure 2. The non-conjugate aurora on 02 July 2001. (C) The image pair mapped to a rectangular magnetic grid. The northern aurora has been longitudinal shifted - 1.3 MLT. Regions of non-conjugate aurora are indicated with solid blue rings, and the corresponding conjugate area with dashed blue rings. The red (black) lines indicate SZA=100 (110). D) Intensity profiles along 2.4 MLT of feature 1 where black line is northern hemisphere and red line is southern hemisphere. E) Intensity profiles along 0.3 MLT of feature 2 from both hemispheres. This Figure is similar to Figure 2C, 2D and 2E in Reistad et al.[2013]

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F D E

C A B

Figure 3. Superposed images of auroral luminosity. A and D) Northern and southern hemisphere for IMF Bx negative. B and E) Northern and southern hemisphere for IMF Bx positive. C and F) The difference between the A and B, D and E. This Figure is similar to Figure 3 and Figure 4, panels A, B and C in Reistad et al. [2014]

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A

B C D

z x

X ~ -17 RE

Tension:

z x

X ~ -6 RE 12

12

06 06 18

18

Figure 4. A) Asymmetric entry of magnetic flux in the lobes during positive IMF By conditions. This panel is the same as Figure 3a in Liou and Newell [2010]. B-D) A fluxtube on closed field-lines with asymmetric foot points in the dawn convection cell during IMFBy positive conditions. Upper panels show pressure, tension and asymmetric foot points into the dawn cells. Lower panels show the associated current systems seen from dusk. (B) Just after reconnection the asymmetric pressure forces due to IMFBy and the magnetic tension forces on the flux tube balance. Currents close locally as indicated in the lower panel. (C) Flux tube moves earthward and is affected by the (total) pressure gradients surrounding the Earths (plasma and magnetic field). Now the forces do not balance. In the northern hemisphere these forces point in the same direction. Hence, most of the stress is transmitted into this hemisphere and the northern foot point will catch up with the southern counterpart to restore symmetry, as seen in (D).

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A B C D

E F G H

a b c d

e f g h

Figure 5. Top: Median Birkeland current densities from AMPERE, for IMFBz <0 nT, with mean relative overlap (see Anderson et al. [2008]) at 20 minutes cadence greater than 0.45. Each map are based on global Birkeland current patterns recorded when the sunlight terminator was located between the red lines. Bottom: Mean R1 current density as a function of magnetic hour angle from the midnight meridian, calculated from the above maps (correspondence indicated by the the letters a, b, ..., h). The location where the sunlight terminator crosses the peak current is indicated by dashed vertical lines.

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