Fokker-Planck entropic force model for galactic rotation curves

We investigate the possible entropic nature of the force responsible for the discrepancy between the observed galactic rotation curves and those expected from the distribution of visible matter in the galaxy. Observations from the Spitzer Photometry and Accurate Rotation Curves (SPARC) data base are used to study the adequacy of the proposed models. A concrete model derived from a simple solution of the Fokker-Planck equation is used to fit SPARC data, resulting in strong agreement with observations compared to the popular dark matter NFW mass profile. We also show that correlations exist between a parameter of the proposed model and the flat velocity as well as the Luminosity at 3.6 $\mu$m of the sample of galaxies.