Classification of circular polarization Stokes profiles in a sunspot using k-means clustering

The magnetic and velocity fields in sunspots are highly structured on small spatial scales which are encoded in the Stokes profiles. Our aim is to identify Stokes profiles in a sunspot which exhibit spectral characteristics that deviate from those associated with the Evershed flow and their spatial distribution. We employ a k-means clustering routine to classify Stokes V spectra in the penumbra of a sunspot. 75% of the penumbral region is dominated by profiles comprising two, nearly anti-symmetric lobes, while 21% of the area is occupied by three-lobed profiles that represent the Evershed flow returning to the photosphere. 4% of the area is dominated by four profile groups - Group 1: three-lobed profiles in which both the rest and strong downflowing component have the same polarity as the sunspot and seen exclusively in the light bridge. Group 2: single, red-lobed profiles over an area of about 2% seen at the outer penumbra in discrete patches that possibly signify the downflowing leg of an Omega-loop. Group 3: three-lobed/highly asymmetric profiles, where the rest and strong downflowing component have a polarity opposite the sunspot. These occupy 1.4% of the penumbral area over conspicuous, elongated structures or isolated patches in the outer penumbra and penumbra-QS boundary. Group 4: three lobed-profiles, in which the rest component has the same polarity as the sunspot and a weaker, upflowing component with an opposite polarity. These profiles are located near the entrance of the light bridge and are found in only 0.12% of the penumbral area. These minority groups of profiles could be related to dynamic phenomena that could affect the overlying chromosphere. The simplicity and speed of k-means can be utilized to identify such anomalous profiles in larger data sets to ascertain their temporal evolution and the physical processes responsible for these inhomogeneities.