Multi-fluid magnetohydrodynamics in the solar atmosphere

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1 Mul-flud magohydrodyams h solar amoshr Tmuraz Zaqarashvl თეიმურაზ ზაქარაშვილი Sa Rsarh Isu of Ausra Aadmy of Ss Graz Ausra ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04

2 ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04

3 Tmraur h solar amoshr gh km FAL93-3 modl Fola al. 993 ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04

4 Coroal hag roblm Coroal rgy losss: Coroal hols rg m - s - Qu Su rg m - s - Av rgos rg m - s - Chromoshr rgy losss: Coroal hols rg m - s - Qu Su rg m - s - Av rgos rg m - s - ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04

5 Nural aoms h solar amoshr Blu sold l: rao of ural hydrog ad lro umbr dss. Gr dashd l: rao of ural hlum ad lro umbr dss. gh km Plasma s oly kly ozd h hooshr bu boms almos fully ozd h raso rgo ad oroa. FAL93-3 modl Fola al. 993 ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04

6 Nural aoms h solar amoshr Th rao of ural hlum ad ural hydrog s aroud 0. h lor hghs. Bu rass u o 0. ar hromoshr/oroa raso rgo.. a 000 km. FAL93-3 modl Fola al. 993 ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04

7 Mul-Flud quaos : 3 : 3 : kt kt kt Q q T T k Q q T T k Q q T T k R m R B E m R B E m Bragsk 965 a R s h hag of muls a q s h ha flux dsy a Q s h ha roduo. W osdr arally ozd lasma hh osss of lros roos ad ural aoms. ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04

8 Imuls hag ad ha roduo Q Q Q R R R ab ba ar offs of fro b dffr sor of arls. Imuls hag ad ha roduo a b xrssd as Bragsk 965 Imora: h flud dsro s vald for h m sals hh ar logr ha lro-lro o-o ad ural-ural ollso ms! ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04

9 Collso frqus A 000 km: -: ~0 7 z -: ~0 7 z -: ~0 5 z A 000 km: Mul-flud dsro s vald for -: ~0 6 z -: ~0 6 z 0 4 s -: ~0 4 z ras ad Krs 03 ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04

10 Maxll q uaos Th sysm s omld by Maxll quaos hr s h urr dsy ad B E 4 B B 0. Plasma s suosd o b quas ural. ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04

11 Elro-o ollso frquy Th off of fro b os ad lros a b xrssd as Bragsk m 3 m kt 3/ hr s h Coulomb logarhm. Elro-o ollso frquy s xrssd by m 3 4 m kt 4 3/. ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04

12 Flud-flud ollso frquy Th off of fro b os ad ural hydrog aoms s Bragsk 965 8kT m m hr s o-hydrog ollso ross-so ad s h rdud mass. Io-ural ollso frquy s dffr ha ural-o ollso frquy m m Th quao for rlav vloy b os ad urals a b obad as. m m Ths quao gvs a sgl valu for h o-ural ollso frquy Zaqarashvl al. 0 m m. m kt m ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04.

13 Flud-flud ollso frquy For las hard shr ollso h o-hydrog ollso ross-so s Bragsk 965 r r hh quals aom ross so. A 000 km: -: ~0 7 z -: ~0 5 z -: ~5 0 3 z A 000 km: -: ~0 6 z -: ~5 0 z -: ~50 z ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04

14 Flud-flud ollso frquy Quaum-mhaal aroah lads o h dffr valus for h o-hydrog ollso ross-so hh gvs dffr ollso frquy. A 000 km: -: ~5 0 7 z -: ~5 0 6 z -: ~5 0 5 z A 000 km: -: ~0 6 z -: ~5 0 4 z -: ~ z ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04

15 To-flud quaos For m sals logr ha o-lro ollso m h o-lro gas a b osdrd as a sgl flud. Ay addoal sor of ural aoms a b rad as a sara flud. Th aroxmao s vald f. I mas ha h osdrd m sals should b mor ha o-lro ad ural-ural ollso m ad omarabl or lss ha o-ural ollso ms. For h m sals of h o-lro ad ural fluds ar ollsoally ould ad h sgl-flud aroxmao a b usd. ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04

16 To-flud quaos Ths aroxmao s vald h solar hromoshr for h m sals of s a 000 km hgh s a 000 km hgh for hard shr ollsos ad s a 000 km hgh for h quaum-mhaal ross-sos s I h lar as h o-flud aroxmao s o vald for h hghs lor ha 700 km baus. a 000 km hgh ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04

17 To-Flud MD quaos 0 0 q q q m B m s h rssur of lro-o gas. ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04

18 Iduo quao o-flud aroah B Ohm s la s obad from h lro quao afr glg h lro ra E B. B Faraday s la ad Ohm s la lad o h duo quao hr B B 4 4 s h off of mag dffuso. B ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04

19 Sgl-Flud quaos 0 B B B B B q q q B B. B G For m sals logr ha o-ural ollso m ral rms a b gld. X X X X X hr s h oal vloy s h rlav vloy. ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04

20 Iduo quao sgl-flud aroah Th oba G ad h duo quao boms B G B 4 hr G B B B 4 B B B T B B T 4 G. ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04

21 Coluso: Mul-flud MD aroxmao s vald for h m sals hh ar logr ha o-o lro-lro ad ural-ural ollso ms: I h lor hromoshr a 000 km: 0 5 s. I h ur hromoshr a 000 km: 0 4 s. ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04

22 Colusos: To-flud quaos ar vald h h m sal s mor ha lro-o ad ural-ural ollso ms: I h lor hromoshr a 000 km for hard shr ollso: 0 5 s I h ur hromoshr a 000 km for hard shr ollso: I h lor hromoshr a 000 km for quaum ollso: 0. 3 s. 0 7 s. I h ur hromoshr a 000 km for quaum ollso: 0 For quaum-mhaal ross-sos o-flud aroxmao s o vald lor hghs < 700 km. 5 s. ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04

23 Colusos: 3 Sgl-flud aroah s vald: A 000 km hgh: hard shr quaum s. 4 s A 000 km hgh: hard shr - Quaum - 0 s 0 4 s. ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04

24 Collso ross-sos ar mora! ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04

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