Obtaining turbulence properties from surveys Jungyeon Cho Chungnam National University, Korea Cho...
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Obtaining turbulence properties from surveys
Jungyeon ChoChungnam National University, Korea
Cho & Ryu (2009, ApJL)Cho et al. (2013, in prep.)
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ISM is in turbulent state
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Observed line width > thermal line width
Molecular Clouds: V ~ a few km/sec
Turbulence
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Big power law (WIM): Armstrong & Spangler (1995)
Slope ~ -5/3
Elec
t ron
d ens
it y sp
ectru
m
AUpc
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HI cloud (SMC) : Stanimirovic+(1999)
HI column density power-law spectrum
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Important turbulence properties
-Driving scale-Density fluctuation ()-…
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Density PDF• Numerical studies (for example, VS94, PN97, PN99, Passot and
VS 98, E. Ostriker et al. 01) showed that density PDFs of isothermal (gamma=1), turbulent flows follow a log-normal distribution.
ln
2)ln(lnexp
2
1ln)(ln 2
20
2ddP
for a mass-conserving system2
ln2
0
Slide from J. Kim (modified)
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1D isothermal HD (Passot & Vazquez-Semadeni 94)
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3D isothermal HD (Nordlund & Padoan 1999)
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3D isothermal MHD (Ostriker+ 2001)
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We observe projected quantities (e.g. ,…)Question: Can we obtain ?
Density (MHD)
To observer
=projected
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PPV cube
v
Intensity
V
Itot
Centroid
2 useful observables
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Column density of turbulence
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Velocity centroids (Mach=2.3, Alfven Mach=0.7)
This last expression valid for optically thin media, w/emissivity proportional to density (e.g. cold HI)
From A. Esquivel
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~
~l (L/l)1/2 l (L/l)1/2
>0 <0
l=???
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Cho & Ryu (2009) showed that l ~ Lint, where Lint is the integral scale
~ Lint (L/Lint)1/2
FTk1
k2
k~1/l
E(k)
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~ Lint (L/Lint)1/2
Lint=
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Conclusions
-If we observe optically thin line emissions, we can get
1. Driving scale 2.
3….