  We used spectropolarimetric observations of a sunspot in active region NOAA
11809 in the Ca ii line at 854.2 nm taken with the SpectroPolarimeter for
Optical and Infrared Regions (SPINOR) at the Dunn Solar Telescope to infer
thermodynamic parameters along one hundred super-penumbral fibrils that harbor
the inverse Evershed flow. The fibrils were identified in line-of-sight (LOS)
velocity and line core intensity maps and were located in a segment of the
sunspot that showed a regular penumbra in the photosphere. The chromospheric
LOS velocity abruptly decreases from 3 to 15 km/s to zero at the inner
footpoints of the fibrils that are located from the mid penumbra to about 1.4
spot radii. The spectra often show multiple components, i.e., one at the rest
wavelength and one with a strong red shift, which indicates spatially or
vertically unresolved structures. The line-core intensity always peaks slightly
closer to the umbra than the LOS velocity. An inversion of the spectra with the
CAlcium Inversion using a Spectral ARchive (CAISAR) code provided us with
temperature stratifications that allowed us to trace individual fibrils through
the atmosphere and to determine the angle of the flows relative to the surface
without any additional assumptions on the flow topology such as radial
symmetry. We find that the fibrils are not horizontal near the downflow points,
but make an angle of 30 to 60 degrees to the local vertical. The temperature is
enhanced by 200K at log(tau) ~ -2 and up to 2000K at log(tau) ~ -6 over that of
the quiet Sun, whereas there is no signature in the low photosphere. Our
results are consistent with a critical, i.e., sonic, or super-sonic siphon flow
along super-penumbral flux tubes in which accelerating plasma abruptly attains
sub-critical velocity through a standing shock in or near the penumbra as
predicted by Montesinos & Thomas (1993).
