1. Interstellar Turbulence and the Plasma Environment of the Heliosphere
Steven R. Spangler
University of Iowa

2. The sky as imaged by the Wisconsin H Alpha Mapper (WHAM; Haffner et al 2003, ApJS 149, 405)
The Warm Ionized Medium (WIM): where do stellar structures end and turbulence begin?

3. The Warm Ionized Medium (WIM) of the Interstellar Medium
Density= 0.08 cc
B field = 3-4 microG
T=8000k
VA=23.3 km/sec
Hydrogen ionization: >90 %
Helium ionization: 50%-100% neutral
See Haffner et al 2009, Rev. Mod. Phys. 81, 969 for full description

4. Philosophical statement on turbulence: the solar wind should serve as a model of turbulence everywhere

5. Power spectra of magnetic field and velocity in the solar wind
Podesta and Borovsky 2010,
Phys. Plasm. 17,
Outer scale

6. What are the recent developments in studies of interstellar turbulence?
Evidence for a relatively small outer scale ( ~ 5 parsecs) for WIM turbulence
Claims that in the solar wind the power spectra of magnetic and velocity fluctuations differ (3/2 vs. 5/3)(Obs: J. Podesta and colleagues; Theory: S. Boldyrev and colleagues)
Progress in understanding the dissipation mechanisms of solar wind turbulence, and by extension, all astrophysical turbulence (G. Howes and colleagues)

7. Faraday Rotation in the corona and elsewhere
Rotation measure

8. Cosmic magnetic fields here means the solar corona as well as that of the ISM and elsewhere

9. Faraday Rotation as a turbulence diagnostic
A difference in Rotation Measure between two closely-spaced lines of sight

10. Faraday rotation as a probe of interstellar plasma turbulence
“suitable for observers”
The rotation measure structure function
Minter and Spangler 1996, ApJ 458, 194

11. The rotation measure structure function and the properties of interstellar turbulence
“It showed our intentions were serious…”

12. The observed rotation measure structure function
2/3
5/3
Minter and Spangler 1996, ApJ 458, 194
Outer scale = 3.6 parsecs

13. Recent studies have obtained rotation measure structure functions from large parts of the sky. They are always flatter than 5/3
Haverkorn et al ApJ 680, 362, 2008
Oppermann et al A&A, in press
The “flatness” of rotation measure structure functions is an important diagnostic of interstellar turbulence

14. What about the plasma environment of the Heliosphere?
Plasma of the Local Clouds similar (in many respects) to the WIM

15. (Redfield and Linsky, ApJ 613, 1004, 2004)
How do we infer the presence of turbulence in the Very Local Interstellar Medium?
(Redfield and Linsky, ApJ 613, 1004, 2004)

16. Spectra can measure central velocity, column density, and line width of each line isolated

17. Physical properties of small clouds
Ion density about 0.1/cc
Neutral fraction about 50%
Temperatures ~ 6700K
Clouds seem to be flowing from direction of Scorpius-Centaurus Association

18. Inferring cloud turbulence properties from high-resolution spectroscopy
Line width
Velocity centroid

19. Line width due to Doppler motion of atoms or ions (thermal + turbulent)
With measurements of several atoms or ions (different m), can solve for T and \xi
Note: both T and \xi are line-of-sight values (Doppler effect)

20. Capella

21. Measurement of several lines leads to rms turbulent velocity
Redfield and Linsky 2004, ApJ 613, 1004

22. Is the outer scale in the VLISM also small?
Apparently not (?) Frisch et al (2010, ApJ 724, 1473) report relatively uniform B field over spatial extent of ~80 parsecs
Direction of uniform field agrees with axis of IBEX “ribbon”, and heliospheric models
Could still have turbulence with outer scale of 3-4 parsecs if amplitude is small.
But, direction of Frisch et al (2010) field is at large angle with respect to galactic plane, like turbulent fluctuation.

23. Are VLISM observations consistent with MHD turbulence possessing a pronounced “residual energy spectrum”?
Assume b and v spectra with residual energy spectrum
Assume at inner scale, fluctuations are Alfvenic
Then on large scales, fluctuations given by

24. VLISM turbulence and residual energy spectrum
We know these parameters
Spangler, Savage, Redfield (ApJ 742, 30, 2011)
Would seem difficult to reconcile with uniform B over 80 parsecs

25. A new age of opportunity for cosmic Faraday rotation measurements; the availability of the Karl G. Jansky Very Large Array
Lower noise receivers
Larger bandwidth
Continuous frequency coverage
Thanks