The present invention relates to a roller device for treating sheet-form material, in particular for smoothing films (F*) or sheets, comprising a first roller unit 1 and a second roller unit 2, wherein each roller unit (1, 2) comprises: at least one drive motor with a motor moment of inertia JM, a roller (10, 20) with a roller moment of inertia JW, and at least one gear for the kinematic coupling of the roller (10, 20) to the at least one drive motor with a transmission ratio iMW between the at least one drive motor and the roller (10, 20), wherein the roller (20) of the second roller unit (2) is rotatable in the opposite direction to the roller (10) of the first roller unit (1), and wherein there is formed between the roller (1 0) of the first roller unit (1) and the roller (20) of the second roller unit (2) a first roller gap (40) through which the sheet-form material (F) is guided. According to the invention, the roller device is characterised in that in at least one of the first and second roller units (1