Low-Mach-number turbulence in interstellar gas revealed by radio
  polarization gradients
  The interstellar medium of the Milky Way is multi-phase, magnetized and
turbulent. Turbulence in the interstellar medium produces a global cascade of
random gas motions, spanning scales ranging from 100 parsecs to 1000
kilometres. Fundamental parameters of interstellar turbulence such as the sonic
Mach number (the speed of sound) have been difficult to determine because
observations have lacked the sensitivity and resolution to directly image the
small-scale structure associated with turbulent motion. Observations of linear
polarization and Faraday rotation in radio emission from the Milky Way have
identified unusual polarized structures that often have no counterparts in the
total radiation intensity or at other wavelengths, and whose physical
significance has been unclear. Here we report that the gradient of the Stokes
vector (Q,U), where Q and U are parameters describing the polarization state of
radiation, provides an image of magnetized turbulence in diffuse ionized gas,
manifested as a complex filamentary web of discontinuities in gas density and
magnetic field. Through comparison with simulations, we demonstrate that
turbulence in the warm ionized medium has a relatively low sonic Mach number,
M_s <~ 2. The development of statistical tools for the analysis of polarization
gradients will allow accurate determinations of the Mach number, Reynolds
number and magnetic field strength in interstellar turbulence over a wide range
of conditions.
