Simulating Electron Cyclotron Maser Emission from Low Mass Stars. Joe Llama

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1 Simulating Electron Cyclotron Maser Emission from Low Mass Stars Joe Llama

2 How do we map stellar surface magnetic fields? Doppler Imaging p Intensity Velocity (km/s) Velocity (km/s) Credit: J-F Donati

3 How do we map stellar surface magnetic fields? Radial magnetic field Azimuthal magnetic field Zeeman effect: Magnetic field splits lines stokes V = - Stokes V (%) Track Stokes V -> get field along line-of-sight (Blos). Max amplitude at disk center Limitation: Only large scale field is detected Velocity (km/s) Velocity (km/s) Credit: J-F Donati

4 How do we map stellar surface magnetic fields? Radial magnetic field Azimuthal magnetic field 0.5 Stokes V (%) Velocity (km/s) Velocity (km/s) Credit: J-F Donati

5 How do we map stellar surface magnetic fields? From Stokes V profile use inversion techniques to derive Br,Bϕ,Bθ Tau Boo (F7V) Donati et al. (2008)

6 The confusogram of stellar magnetic fields Size: intensity Color: poloidal toroidal Shape: axisymmetric non-axisym. Variety of intensities and topologies Data from: Catala et al. (2007), Donati et al. (2003,2008,2009); Fares et al (2011,2012,2013), Jeffers et al. (2008), Petit et al. (2008,2011), Morgenthaler et al. (2012); Marsden et al. (2011), Moutou et al. (2009)

7 Modeling Stellar coronae and Winds V374 Peg V374 Peg 30 S 60 S Powell et al. (1999), Toth et al. (2012) Cohen et al. (2011, 2014a, b, 2017) Vidotto et al. (2009, 2011, 2012) Llama et al. (2013) Garraffo et al. (2015, 2016) 1600 Radial Magnetic Field Intensity (G) 135 E 90 E 45 E 0 E 45 W 90 W 135 W 30 N Radial Magnetic Field [G] 60 N 0 N 3D MHD Modeling Morin et al. (2008) corona Potential Field Source Surface Model Altshuler & Newkirk (1969) Jardine et al. (1999, 2013, 2017) See et al. (2015, 2016, 2017) Lang et al. (2012, 2014) Lehmann et al. (2017) wind

8 Stellar Dipole: ECM Emission B = 1000 Gauss incl = 45 o Tcor = 6 x 10 6 K For ECM emission: s n e e 2 m e 0 < eb m e and = nk Thermal pressure BT B 2 /(2µ 0 ) < 1 Magnetic pressure

9 Stellar Dipole: ECM Emission

10 Stellar Dipole: ECM Emission

11 Stellar Dipole: ECM Emission cos M cos cos i arccos sin sin i

12 Stellar Dipole: X-ray Emission Isothermal, hydrostatic corona: m Z p = p 0 exp T g s ds Base-density scales with magnetic pressure: p 0 (, )=KB 2 0(, ) Scales with observed Emission Measure

13 Stellar Dipole: X-ray Emission

14 X-ray and ECM light curves ECM ECM bright when X-ray dim

15 Simulating ECM emission from V374 Peg Size: intensity Color: poloidal toroidal Shape: axisymmetric non-axisym. Variety of intensities and topologies Data from: Catala et al. (2007), Donati et al. (2003,2008,2009); Fares et al (2011,2012,2013), Jeffers et al. (2008), Petit et al. (2008,2011), Morgenthaler et al. (2012); Marsden et al. (2011), Moutou et al. (2009)

16 Simulating ECM emission from V374 Peg V374 Peg V374 Peg Mass: 0.28 x solar mass 60 N Radius: 0.28 x solar radius 135 E 90 E 0 N 45 E Rotation Period: 0.44 days 0 E 45 W Temperature: 3410 K 90 W 135 W 30 N 30 S 60 S Log Lx = Morin et al. (2008) Tcorona = 0.11 x Fx0.26 (Johnstone et al. 2015) Tcorona = 6 x 106 K

17 Simulating ECM emission from V374 Peg Llama and Jardine (in prep)

18 Simulating ECM emission from V374 Peg Llama and Jardine (in prep)

19 Simulating X-ray emission from V374 Peg Llama and Jardine (in prep)

20 Simulating ECM emission from V374 Peg Llama and Jardine (in prep)

21 Extension to more ZDI stars Llama and Jardine (in prep)

22 Planet induced ECM Io Magnetic footprint Main auroral oval HST/STIS NASA and J. Clarke (Michigan) Ganymede Magnetic footprint Europa Magnetic footprint

23 Planet induced ECM Llama and Jardine (in prep)

24 Planet induced ECM Llama and Jardine (in prep)

25 Summary and Prospects Magnetic maps are a useful tool for predicting the radio emission from stars. X-ray and ECM light curves are anti-phased. Planet induced ECM can vary depending on the orbital configuration of the planet. Next steps: Predict light curves for the low-mass stars that have ZDI observations.

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