42 Manuel Güdel Consequently, the average stellar X-ray spectrum <strong>in</strong>dicates more hot plasma (Schrijver et al., 1984; Maggio et al., 1994; Güdel et al., 1997b; Preibisch, 1997; Orlando et al., 2000; Peres et al., 2000). • Increased magnetic activity leads to more numerous <strong>in</strong>teractions between adjacent magnetic field structures at the chromospheric level (Cuntz et al., 1999) and there<strong>for</strong>e at the coronal level, ow<strong>in</strong>g to higher magnetic fill<strong>in</strong>g factors <strong>in</strong> the photosphere (Section 4.2.6). The heat<strong>in</strong>g efficiency thus <strong>in</strong>creases. Specifically, a higher rate of large flares is expected. Flares produce hot, dense plasma and there<strong>for</strong>e <strong>in</strong>crease both the X-ray lum<strong>in</strong>osity and the average coronal temperature of a star (Güdel et al., 1997b). • Jordan et al. (1987) and Jordan and Montes<strong>in</strong>os (1991) described an emission measure (EM)- T relation based on arguments of a m<strong>in</strong>imum energy loss configuration of the corona, assum<strong>in</strong>g a fixed ratio between radiative losses and the coronal conductive loss. A relation <strong>in</strong>clud<strong>in</strong>g the stellar gravity g was suggested, of the <strong>for</strong>m EM ∝ T 3 g , (16) which fits to a sample of observations with T taken from s<strong>in</strong>gle-T fits to stellar coronal spectra. Equation (16) holds because coronal heat<strong>in</strong>g directly relates to the production rate of magnetic fields, and the magnetic pressure is assumed to scale with the thermal coronal pressure. 5.6 Putt<strong>in</strong>g it all together: The XUV Sun <strong>in</strong> time The above subsections provide the <strong>in</strong>put <strong>for</strong> a comprehensive model of the spectral evolution of the “Sun <strong>in</strong> Time” <strong>in</strong> the wavelength band that is relevant <strong>for</strong> ionization of and chemical reactions <strong>in</strong> planetary atmospheres and circumstellar disks, namely the 1 – 1700 ˚A (≈ 0.007–10 keV) FUV/EUV/X-ray (“XUV”) range. The results are summarized <strong>in</strong> Tables 4 and 5 compiled us<strong>in</strong>g data from Ribas et al. (2005) (<strong>for</strong> the UV-EUV range) and Telleschi et al. (2005) (<strong>for</strong> the X-ray range). The table also conta<strong>in</strong>s data referr<strong>in</strong>g to the classical T Tauri star TW Hya, to be discussed <strong>in</strong> Section 6, and solar data (see Ribas et al. 2005 <strong>for</strong> references). 2 The l<strong>in</strong>e fluxes given <strong>in</strong> Table 4 are normalized to a distance of 1 AU and have also been normalized to the radius our Sun had at the age of the respective star. Note that the Lyα l<strong>in</strong>e fluxes were corrected <strong>for</strong> <strong>in</strong>terstellar H i and D i absorption, i.e., they represent the pure stellar contribution. Ribas et al. (2005) constructed band-<strong>in</strong>tegrated irradiances <strong>for</strong> the spectral ranges 1 – 20 ˚A (X-rays), 20 – 100 ˚A (soft X-rays and EUV), 100 – 360 ˚A (EUV), and 920 – 1180 ˚A (FUV). For the wavelength range of 1180 – 1700 ˚A, only l<strong>in</strong>e fluxes are provided because of <strong>in</strong>creas<strong>in</strong>g contributions from the photospheric cont<strong>in</strong>uum. All <strong>in</strong>tegrated irradiances correlate tightly with the stellar rotation period or age, suggest<strong>in</strong>g a rapid decay of activity at all atmospheric levels <strong>in</strong> concert. The relations are excellently represented by power laws, as illustrated <strong>in</strong> Figure 19a. The power-law fits to the fluxes of the <strong>for</strong>m F = αt β 9 2 The l<strong>in</strong>e fluxes of O viii, O vii, N vii, and C vi were determ<strong>in</strong>ed from a model spectrum synthesized <strong>in</strong> the XSPEC software (Arnaud, 1996) us<strong>in</strong>g the vapec model (Smith et al., 2001). The model is based on an isothermal plasma with a temperature of 2 MK normalized such that the 0.1 – 10 keV lum<strong>in</strong>osity is 2 × 10 27 erg s −1 . The low-FIP element abundances were set to values four times higher than standard photospheric abundances, while the high-FIP element abundances were photospheric; the S abundance was set to an <strong>in</strong>termediate value of 2× the photospheric value. <strong>Liv<strong>in</strong>g</strong> <strong>Reviews</strong> <strong>in</strong> <strong>Solar</strong> <strong>Physics</strong> http://www.liv<strong>in</strong>greviews.org/lrsp-2007-3 (17)
The Sun <strong>in</strong> Time: Activity and Environment 43 (α and β be<strong>in</strong>g constants) are given <strong>in</strong> Table 5. Note that the <strong>in</strong>accessible spectral range of 360 – 920 ˚A (strongly absorbed by <strong>in</strong>terstellar gas) has been <strong>in</strong>terpolated between adjacent spectral ranges, assum<strong>in</strong>g a decay law with β = −1. <strong>Liv<strong>in</strong>g</strong> <strong>Reviews</strong> <strong>in</strong> <strong>Solar</strong> <strong>Physics</strong> http://www.liv<strong>in</strong>greviews.org/lrsp-2007-3
- Page 1 and 2: Living Rev. Solar Phys., 4, (2007),
- Page 3 and 4: Contents 1 Introduction 7 2 What is
- Page 5: List of Tables 1 Symbols and units
- Page 8 and 9: 8 Manuel Güdel The discovery of ex
- Page 10 and 11: 10 Manuel Güdel 2 What is a Solar-
- Page 12 and 13: 12 Manuel Güdel 3 The Sun in Time
- Page 14 and 15: 14 Manuel Güdel Guinan, 1994a; Dor
- Page 16 and 17: 16 Manuel Güdel 4 The Solar Magnet
- Page 18 and 19: 18 Manuel Güdel 4.1.2 Polar spots
- Page 20 and 21: 20 Manuel Güdel structure”; furt
- Page 22 and 23: 22 Manuel Güdel Because the X-ray
- Page 24 and 25: 24 Manuel Güdel Flux density at bo
- Page 26 and 27: 26 Manuel Güdel Figure 7: Left (a)
- Page 28 and 29: 28 Manuel Güdel detection until re
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- Page 36 and 37: 36 Manuel Güdel X-ray luminosity (
- Page 38 and 39: 38 Manuel Güdel Flux density at 1
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- Page 44 and 45: 44 Manuel Güdel Table 4: Integrate
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- Page 48 and 49: 48 Manuel Güdel Flux at 1 AU (erg
- Page 50 and 51: 50 Manuel Güdel Figure 22: Correla
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- Page 60 and 61: 60 Manuel Güdel Abundance 1.0 0.1
- Page 62 and 63: 62 Manuel Güdel 6.2.2 New features
- Page 64 and 65: 64 Manuel Güdel Figure 30: Summary
- Page 66 and 67: 66 Manuel Güdel among the stars co
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- Page 70 and 71: 70 Manuel Güdel same time, related
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- Page 80 and 81: 80 Manuel Güdel 7 The Solar System
- Page 82 and 83: 82 Manuel Güdel of life, and life
- Page 84 and 85: 84 Manuel Güdel 7.1.3 Cosmic rays
- Page 86 and 87: 86 Manuel Güdel H2O + hν → OH +
- Page 88 and 89: 88 Manuel Güdel Here, v0 = (2kTexo
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92 Manuel Güdel Figure 42: Modeled
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94 Manuel Güdel (Section 5.6), one
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96 Manuel Güdel 8 Summary and Conc
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98 Manuel Güdel Solar magnetic act
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100 Manuel Güdel References Acuña
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102 Manuel Güdel Balbus, S.A., Haw
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104 Manuel Güdel Calvet, N., Muzer
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106 Manuel Güdel Curiel, S., Rodr
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108 Manuel Güdel Favata, F., Micel
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110 Manuel Güdel Gagne, M., Cailla
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112 Manuel Güdel Güdel, M., 1997,
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114 Manuel Güdel workshop held at
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116 Manuel Güdel Holman, G.D., Ben
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118 Manuel Güdel Johns-Krull, C.M.
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120 Manuel Güdel König, B., Guent
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122 Manuel Güdel Maggio, A., Peres
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124 Manuel Güdel Mitra-Kraev, U.,
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126 Manuel Güdel Parnell, C.E., Ju
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128 Manuel Güdel Proceedings for a
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130 Manuel Güdel Schmitt, J.H.M.M.
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132 Manuel Güdel Smith, K., Pestal
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134 Manuel Güdel Telleschi, A., G
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136 Manuel Güdel Weber, E.J., Davi