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The kinetics of a granular planar rotator with a fixed center undergoinginelastic collisions with bath particles is analyzed both numerically andanalytically by means of the Boltzmann equation. The angular velocitydistribution evolves from quasi-gaussian in the Brownian limit to an algebraicdecay in the limit of an infinitely light particle. In addition, we comparethis model with a planar rotator with a free center. We propose experimentaltests that might confirm the predicted behaviors.Comment: 10 Pages, 9 Figure

Angular velocity distribution of a granular planar rotator in a thermalized bath