Comment on “White-noise–induced transport in periodic structures” by J. Łuczka et al.

¹ Yukawa Institute for Theoretical Physics, Kyoto University - Kyoto, 606-01, Japan
² Research Institute of Electrical Communication, Tohoku University, Sendai, 980-77, Japan

Received: 30 November 1995
Accepted: 13 June 1996

Abstract

In the paper by J. Łuczka et al. (Europhys. Lett., 31 (1995) 431), the authors reported by rigorous calculation that an additive Poissonian white shot noise can induce a macroscopic current of a dissipative particle in a periodic potential —even in the absence of spatial asymmetry of the potential. We argue that their central result can easily be attributed to the spatially broken symmetry of a probability distribution of the additive noise, unlike the similar result caused by chaotic noise which has a symmetric probability distribution (J. Phys. Soc. Jpn., 63 (1994) 2014).