The Turbulent Warm Ionized Medium: Emission Measure Distribution and MHD Simulations

TL;DR

This study analyzes the distribution of H-alpha emission measures in the Galaxy's warm ionized medium, revealing a lognormal distribution consistent with MHD turbulence simulations, and estimates the WIM's physical properties.

Contribution

It demonstrates that the EM distribution of the WIM is well modeled by MHD turbulence simulations with specific Mach numbers, providing new insights into the turbulence and structure of the WIM.

Findings

EM distribution is lognormal and well fit by turbulence models

Turbulent WIM has a vertical extent of 400-500 pc

WIM electron density peaks at 0.03 cm^{-3}

Abstract

We present an analysis of the distribution of H-alpha emission measures for the warm ionized medium (WIM) of the Galaxy using data from the Wisconsin H-Alpha Mapper (WHAM) Northern Sky Survey. Our sample is restricted to Galactic latitudes |b| > 10. We removed sightlines intersecting nineteen high-latititude classical H II regions, leaving only sightlines that sample the diffuse WIM. The distribution of EM sin |b| for the full sample is poorly characterized by a single normal distribution, but is extraordinarily well fit by a lognormal distribution, with <log EM sin |b|> = 0.146 +/- 0.001 and standard deviation 0.190 +/- 0.001. <log EM sin |b|> drops from 0.260 +/- 0.002 at Galactic latitude 10<|b|<30 to 0.038 +/- 0.002 at Galactic latitude 60<|b|<90. The distribution may widen slightly at low Galactic latitude. We compare the observed EM distribution function to the predictions of three-dimensional magnetohydrodynamic simulations of isothermal turbulence within a non-stratified interstellar medium. We find that the distribution of EM sin |b| is well described by models of mildy supersonic turbulence with a sonic Mach number of ~1.4-2.4. The distribution is weakly sensitive to the magnetic field strength. The model also successfully predicts the distribution of dispersion measures of pulsars and H-alpha line profiles. In the best fitting model, the turbulent WIM occupies a vertical path length of 400-500 pc within the 1.0-1.8 kpc scale height of the layer. The WIM gas has a lognormal distribution of densities with a most probable electron density n_{pk} = 0.03 cm^{-3}. We also discuss the implications of these results for interpreting the filling factor, the power requirement, and the magnetic field of the WIM.