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M.V. Stepanova 1 , E.E. Antonova 2,3 , I.L. Ovchinnikov 2 , I.P. Kirpichev 3 , V. Pinto 4 , J.A. Valdivia 4 1 Universidad de Santiago de Chile (USACH) 2 Skobeltsyn Institute for Nuclear Physics, Lomonosov Moscow State University 2 Space Research Institute RAS, Moscow, Russia
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M.V. Stepanova1, E.E. Antonova2,3, I.L. Ovchinnikov 2, I.P. Kirpichev3, V. Pinto4, J.A. Valdivia 4 1Universidad de Santiago de Chile (USACH) 2Skobeltsyn Institute for Nuclear Physics, Lomonosov Moscow State University 2Space Research Institute RAS, Moscow, Russia 4Departamento de Física, Facultad de Ciencias, Universidad de Chile, Santiago, Chile Properties of turbulence and bursty bulk flows in the plasma sheet using the data of THEMIS satellite mission
Возможна ли така картина течения? (см. постер 114)
Early difficulty of the traditional approach ...A further difficulty is that the flow is probably turbulent, particulary in the "wake" of the earth, and both Pioneer I and Explorer I observations show clear indications of some hydromagnetic form of turbulence...
Motivation:Magnetosphere as a turbulent wake Even for laminar solar wind, the magnetospheric tail can be considered as a turbulent wake behind an obstacle, considering the very high values of Reynolds number (> 1010 [Borovsky and Funsten, 2003]).
Specific topics • Importance of turbulence • Statistical studies of turbulence in the plasma sheet • Study of stability of the turbulent plasma sheet • Role of BBFs
Evidences of the turbulence in the magnetosphere Plasma sheet turbulence was analyzed by Antonova [1985], Angelopoulos et al. [1992, 1993, 1996, 1999]; Borovskyet al. [1997, 1998], Consolini et al. [1996, 1998], Antonovaet al. [2000, 2002]; Yermolaev et al.[2000], Ovchinnikov et al. [2000, 2002], Neagu et al. [2001, 2002]; Lui [2001, 2002]; Troshichevet al. [2001, 2002]; Petrukovich and Yermolaev [2002]; Borovsky and Funsten[2003a,b]; Voros et al. [2003]; Volwerk et al. [2004];Goldstein [2005]; Weygand et al. [2005-2007]; Nagata et al. [2008], Stepanova et al. [2005, 2009, 2011a,b], Wang et al.[2010], Pinto et al. [2011] ets. CLUSTER results [Volwerk et al., 2004] ISEE-2 results [Angelopoulos et al., 1993] Interball/Tail probe results [Antonova et al., 2000, 2002]
Plasma sheet turbulence in MHD models with high Reynolds number [El-Alaoui et al., 2010, 2012]. IMF Bz=-5 nT, nsw=20 cm-3, Vx=500 km/s.
How to stabilize the turbulent plasma sheet? Existence of pressure balance across the plasma sheet/tail lobes (Michalov et al. [1968], Stiles [1978], Spence et al. [1989], Tsyganenko [1990], Baumjohann et al. [1990], Kistler et al. [1993], Petrukovich [1999], Tsyganenko and Mukai [2003]) in spite of the observed turbulence.
Antonova and Ovchinnikov stable turbulent plasma sheet, JGR 1999 IMF Bz<-4 нТ IMF Bz>+4
Important consequences: bifurcation of the plasma sheet under Bz>0 Huang et al. [1987] Frank et al. [1986] Koskinen et al. (2000)
Theory of plasma sheet with medium scale turbulence predicted the value of quasidiffusion coefficientfirst published by Borovskyet al. [1998] and verified by Antonova et al. [2000], Ovchinnikov et al. [2002], Troshichevet al. [2001, 2002]; Stepanova et al. [2005, 2009,2011]; Nagata et al. [2008]; Pinto et al. [2011]. Antonova et al. [2000] The problem of space distribution of the coefficient of eddy diffusion have appeared. Spatial distribution of eddy diffusion coefficient was obtained by Nagata et al. [2008] and Wang et al. [2010]; Stepanova et al. [2005, 2009,2011]; Pinto et al. [2011]. Wang et al. [2010] Nagata et al. [2008]
Stepanova et al. [2009] obtained value of eddy diffusion coefficient during different phases of magnetic storm using data of INTERBALL/Tail probe observations. Variation of eddy-diffusion coefficients with the distance from the Earth, for quiet time (q), expansion (e) and recovery (r) phases of magnetic substorm . Sharp decrease of eddy diffusion coefficient is observed at geocentric distances <10RE
Statistical studies of eddy diffusion coefficients using THEMIS mission Stepanova et al., JGR[2011] THEMIS results support the previous conclusions and give more information including Dxx.
The three diagonal eddy-diffusion coefficients using all THEMIS satellites were determined simultaneously from 5 till 30RE by Pinto et al. [2011]. Theory predictions obtain the additional support. Simultaneous measurements of the plasma parameters at different distances in the plasma sheet show that the diagonal components of the eddy diffusion tensor increase in the tailward direction.
Resume: • Dst>-20 nT • AL>-30 nT • Bz>0 nT • Vsw<280 km/s Quiet time event, September 12, 2004Doy 256
Direct verification of theory using CLUSTER and radar data [Stepanova and Antonova, 2011] for September 12, 2004 event. Variations of Bx component of the geomagnetic field (a), Vz component of the plasma bulk velocity (b), of the ion number density n (c), and temperature T (d) Averaged values of the polar cap potential difference (a), Z component of the eddy diffusion coefficient (b), the ion number density (c), and the X component of the geomagnetic field (d), in the GSE coordinate system
Saito et al. [2008] Pritchett and Coroniti [2011]
Instrumentation and Data Analysis We used the ESA data of five THEMIS probes inside the plasma sheet. The criteria of BBF event selection was similar to [Angelopoulos et al.(1995)]: the absolute value of the bulk velocity exceeds 100 km/s, during which the velocity exceeds 400 km/s for at least one sample period. Plasma sheet selection: XGSM < −5 Re, ZGSM < 6 Re, p > 0.01 nPa, > 0.5. QUIET: AL −100 nT, |s| 1/2 nT/min for 40 min before and after the middle of the interval. EXPANSION: AL < −100 nT s −1/2 nT/min for 5 min with respect to the middle point of the interval, and s < 0 for 20 min with respect to the middle point of the interval. RECOVERY: AL < −100 nT and the value of the slope of the AL index was s 1/2 nT/min for 5 min with respect to the middle point of the interval, and s > 0 for 20 min with respect to the middle point of the interval. [Stepanova et al.(2011)] Percentage of time when the BBFs have been observed Quiet time Expansion Recovery
Conclusions 1) Plasma sheet is constantly turbulent, even under quiet geomagnetic conditions • 2) The level of the turbulence depends on the geomagnetic conditions and location • 3) Turbulent plasma sheet is stable due to a balance between turbulent expansion and compression by regular dawn-dusk electric field • 4) BBFs appear when we need to fill urgently some parts of the magnetosphere
Cluster September 12, 2004 Very quiet geomagnetic conditions