Thermal Noise Can Facilitate Energy Conversion by Ratchet System?

Molecular motors in biological systems are expected to use ambient fluctuation. In a recent Letter [Phys. Rev. Lett. {\bf 80}, 5251 (1998)], it was showed that the following question was unsolved, ``Can thermal noise facilitate energy conversion by ratchet system?'' We consider it using stochastic energetics, and show that there exist systems where thermal noise helps the energy conversion.