Response of the Earth s magnetosphere and ionosphere to the small-scale magnetic flux rope in solar wind by the MHD simulation

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Response of the Earth s magnetosphere and ionosphere to the small-scale magnetic flux rope in solar wind by the MHD simulation Kyung Sun Park 1, Dae-Young Lee 1, Myeong Joon Kim 1, Rok Soon Kim 2, Kyungsuk Cho 2, Tatsuki Ogino 3, Kyu Chel Choi 4, Jae Hoon Kim 5 1 Dept. Astronomy and Space Science, Chungbuk National University, Korea 2 Korea Astronomy and Space Science Institute, Korea 3 ISEE, Nagoya University, Japan 4 Selab, Inc., Korea 5 Korean Space Weather Center of the National Radio Research Agency, Korea

Introduction Interaction between the solar wind and Earth s magnetosphere CME Shock High energetic particles, change of the magnitude and direction of the interplanetary magnetic field (strongly southward IMF) Solar wind and IME arrives at the Earth s magnetosphere one to four days after the initial eruption, resulting in strong geomagnetic storms, aurora and electrical power blackouts. When the IMF turns southward, the energy of the solar is efficiently trapped by reconnection in the magnetosphere, and convection and currents within the magnetosphere increase.

Introduction Characteristics of interplanetary magnetic flux ropes Coronal Mass Ejection 3 2 1 B B x B y ACE: ICEM 1 2 3 by KASI 1: Shock 2. Sheath 3. MFR -Rotation of magnetic field direction B z -Enhanced magnet field strength -Low proton temperature V sw -Low plasma value n sw T p -Diameters: about 0.2 ~ 0.4 AU (4704 ~ 9407 R E ) -Duration time: tens of min to tens of hours (~a few days) near the Earth orbit

Small-scale magnetic flux rope (SMFR) New class of magnetic flux ropes in solar wind was identified by Moldwin et al. [1995, 2000] Average diameters: 270R E (191~530R E ) with about an hour duration time A flux rope model fit is shown superimposed on the data as a thick solid line.

Small magnetic flux rope and substorm expansion [Feng et al., 2010] ~370 km/s ~11.5 nt WIND observation on 26 July 2000 Auroral brightening Aurora expanded poleward, westward, eastward 18 (69%) small flux ropes triggered magnetospheric substorms 14 substorm expansion phases: northward turning of SMFR 4 substorm events: sudden changes in solar wind dynamic pressure

There have been no studies of the interaction between the SMFR and Earth s magnetosphere and ionosphere by global MHD simulation. From this study we want to know about: What are characteristics of the SMFR by observation? How/what does it affect the Earth s magnetosphere and ionosphere.

Events list by ACE observation data CBNU: 1998-2016 KASI: 1998-2009 Duration time 411 SMFR over 19 years 139 SMFR B used by Marubashi Fitting model Average properties of SMFR during 1998-2016 SMFR events having duration times 2h 24m Magnetic field strength of 7.3 nt V sw n sw Flow speed of 434 km/s Proton number density of 7.6 cm -3

Magnetic flux rope distinguished by four types +Z Right hand +Z Left-hand -Y Right hand +Y Left-hand 62/411 (15%) 120/411 (29.2%) Earth Northward B z -Z Right hand -Z Left-hand +Y Right hand -Y Left-hand 80/411 (19.5%) South to Northward B z 149/411 (36.3%) Southward B z North to southward B z

Global MHD Simulation conditions We have performed a three-dimensional global MHD simulation of interaction between the SMFR conditions and the Earth s magnetosphere and ionosphere. The number of grid points (n x, n y, n z ) = (300, 100, 200) with a uniform grid spacing of 0.3R E. Steady state and quiet configuration, Initial condition: IMF B z = 2 nt, V sw = 400 km/s, and n sw = 5/cc Cross polar cap potential: ~15 kv t = 120 min

Simulation input parameter Solar wind and IMF conditions during the SMFR Case 1: -Z axis (RH) B Z (southward) and B Y (dusk to dawn) Case 3: -Y axis (RH) B Z (south to northward) and B Y (dawnward) B t B Y B Z Duration time: 3 hours V sw = 400 km/s n sw = 5 cm -3 IMF B : 4 7 4 nt Case 2: +Z axis (RH) B Z (northward) and B Y (dawn to dusk) Case 4: +Y axis (RH) B Z (north to southward) and B Y (duskward)

Simulation Results Locations of the bow shock and the magnetopause at the dayside magnetosphere Case 1 Case 2 Case 3 Case 4 Southward B z Northward B z South to Northward B z North to southward B z Locations of Bow shock [R E ] 14.1 14.1 15 14.1 14.1 14.7 Locations of Magnetopause [R E ] 11.1 10.2 11.1 12 11.1 10.2 11.1 11.1 11.7 10.5

Simulation Results Case 1: -Z (RH) Southward Bz z Configuration of the magnetic field lines Case 3: -Y (RH) South to Northward B z Green : closed field line Blue : open field line Red : reconnected field line 90 min Dayside reconnection region 90 min Dayside reconnection region Case 2: +Z (RH) Northward B z Case 4: +Y (RH) North to southward B z 100 min 90 mim

Simulation Results Maximum value for each of the Vx and Ey in tail region Case 1: -Z (RH) Southward B z Case 2: +Z (RH) Northward B z Case 3: -Y (RH) South to Northward B z Case 4: +Y (RH) North to southward B z Tail reconnection: Case 1: -11.1~-11.4R E Case 2: -14.1~-14.4R E Case 3: -11.7~-12R E Case 4: -12.9~-13.2R E Earthward plasm flow (V X > 0): Case 1: 290 km/s at 90 min Case 2: 68 km/s at 75 min Case 3: 261km/s at 90 min Case 4: 257 km/s at 115 min Duskward electric field, Ey Case 1: 2.6 mv/m at 90 min Case 2: 0.62 mv/m at 95 min Case 3: 2 mv/m at 110 min Case 4: 2.2 mv/m at 75 min

Simulation Results Response of the Earth s ionospheric potential Case 1: -Z axis (RH) B Z (southward) and B Y (dusk to dawn) PCP is governed by Bz components. Case 2: +Z axis (RH) B Z (northward) and B Y (dawn to dusk) PCP is controlled By and Bz. Case 3: -Y axis (RH) B Z (south to northward) and B Y (dawnward) PCP is controlled by Bz component. 40 kv 52 kv Case 4: +Y axis (RH) B Z (north to southward) and B Y (duskward) PCP is controlled by magnitude total B and Bz. 25.4 and 25.3 kv 43 kv

Summary and Conclusion We identified 411 small-scale flux ropes in solar wind over 19 years of ACE magnetic field data. The results show that the mean values of duration time is 2h 24m and average of magnetic strength is 7 nt. Also average value of the solar wind speed is 434 km/s and density is 7.6 cm -3. 23 ICME: Yellow SMFR: Blue 24 Even though declining and minimum phase of solar cycle, SMFR consistently observed in solar wind.

Summary and Conclusion We also have performed a three-dimensional global MHD simulation to examine the effect of the four types of SMFR on the magnetospheric and ionospheric response. Simulation input parameters for a four SMFR conditions: Solar wind of velocity, V sw = 400 km/s and n sw = 5 cm -3 Magnetic field rotates smoothly during 3 hours: IMF B = 4 to 7 and to 4 nt Response of the magnetosphere: During the southward IMF condition in case 1, 3, and 4, the bow shock and magnetopause are located in 14 R E and 10~11 R E in the subsolar region. During the northward IMF condition in case 2, the bow shock and magnetopause move to 15 R E and 12 R E in the subsolar region.

Summary and Conclusion Response of the magnetosphere: When the IMF has small duskward/dawnward components during the SMFR conditions, dayside magnetic reconnection occur in dusk/dawn side and high latitude region in northern hemisphere where IMF anti-parallel to the geomagnetic field. The convective electric field becomes comparable to the solar wind electric field for -13 R E < X < -7 R E in tail region. For three types SMFR conditions, E y increases between 71% and 93% in the plasm sheet for a case of southward, south to north, and north to south of IMF B z. The tail reconnection can be seen at X= -11~-12 R E with a southward IMF conditions. Also, E y is almost 21% in the plasma sheet and tail reconnection region still appears at X= -14 R E while the IMF B z is northward during the SMFR

Summary and Conclusion Response of the ionosphere: The cross polar cap potential are mainly governed by IMF Bz as well as By/magnitude of B. For all of the 4 types of SMFR, the cross polar cap potential,, increase over 20 kv. possibly support the growth phase condition for substorm triggering [Ref. Feng et al. 2010] But, the effect depends on specific types of SMFR: largest for Z (RH) type, smallest for +Z (RH) type Plan a further work to test dependence on initial conditions (to test effect of preconditions on substorm triggering)