HI anisotropies associated with radio-polarimetric filaments. Steep
  power spectra associated with cold gas
  LOFAR detected toward 3C 196 linear polarization structures which were found
subsequently to be closely correlated with cold filamentary HI structures. The
derived direction-dependent HI power spectra revealed marked anisotropies for
narrow ranges in velocity, sharing the orientation of the magnetic field as
expected for magneto hydrodynamical turbulence. Using the Galactic portion of
the Effelsberg-Bonn HI Survey we continue our study of such anisotropies in the
HI distribution in direction of two WSRT fields, Horologium and Auriga; both
are well known for their prominent radio-polarimetric depolarization canals. At
349 MHz the observed pattern in total intensity is insignificant but polarized
intensity and polarization angle show prominent ubiquitous structures with so
far unknown origin. Apodizing the HI survey data by applying a rotational
symmetric 50 percent Tukey window, we derive average and position angle
dependent power spectra. We fit power laws and characterize anisotropies in the
power distribution. We use a Gaussian analysis to determine relative abundances
for the cold and warm neutral medium. For the analyzed radio-polarimetric
targets significant anisotropies are detected in the HI power spectra; their
position angles are aligned to the prominent depolarization canals, initially
detected by WSRT. HI anisotropies are associated with steep power spectra.
Steep power spectra, associated with cold gas, are detected also in other
fields. Radio-polarimetric depolarization canals are associated with
filamentary HI structures that belong to the cold neutral medium (CNM).
Anisotropies in the CNM are in this case linked to a steepening of the
power-spectrum spectral index, indicating that phase transitions in a turbulent
medium occur on all scales. Filamentary HI structures, driven by thermal
instabilities, and radio-polarimetric filaments are associated with each other.
