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E. Khomenko and M. Collados

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1 E. Khomenko and M. Collados
EFFECTS OF PARTIAL IONIZATION IN THE PHOTOSPHERE AND IN THE CHROMOSPHERE E. Khomenko and M. Collados

2 Approximation of magnetohydrodynamics
+ Fully ionized Coupled by collisions Single fluid description

3

4 photosphere chromosphere

5 Approximation of magnetohydrodynamics Multi-fluid approximation
+ B + Fully ionized Coupled by collisions Single fluid description Weakly ionized Less coupled by collisions Sunspots and chromosphere Best valid in the deep photosphere and convection zone

6 Equations of Magnetohydrodynamics

7 Equation for individual species

8 Combined quasi-MHD equations

9 Diffusivities

10 Conversion of magnetic to thermal energy

11

12

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14 Z = 1000 km 900 G 750 G 600 G 450 G 300 G

15 Z = 1000 km

16

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18 Conclusions Collissions with neutrals (ambipolar diffusion) can lead to a significant temperature rise (~ 2000 k) within minutes at chromospheric level Important plasma motions can appear during the heating process


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