7 May 2003 Directed current in ratchets by pseudo-Gaussian white noise: a seeming paradox from a Langevin equation and an alternative master equation
Author Affiliations +
Proceedings Volume 5114, Noise in Complex Systems and Stochastic Dynamics; (2003) https://doi.org/10.1117/12.488776
Event: SPIE's First International Symposium on Fluctuations and Noise, 2003, Santa Fe, New Mexico, United States
Abstract
Symmetric white Poissonian shot noise with Gaussian distributed amplitudes is shown from an overdamped Langevin equation to induce directed motion of ratchets. The noise becomes white Gaussian in the limit λ→∞, where λ is the average number of the delta pulses per unit time. The current tends to zero as 1/λ→0, which agrees with the fact that the directed motion cannot be induced by the thermal noise alone. However, a finite value of 1/λ yields a finite value of the current no matter how small the former may be. Since 1/λ cannot be zero physically, this is a seeming contradiction of the second law of thermodynamics, which originates from the Langevin equation. We discuss this point from an alternative master equation without assuming the Langevin equation.
© (2003) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Nobuko Fuchikami, Nobuko Fuchikami, Shunya Ishioka, Shunya Ishioka, "Directed current in ratchets by pseudo-Gaussian white noise: a seeming paradox from a Langevin equation and an alternative master equation", Proc. SPIE 5114, Noise in Complex Systems and Stochastic Dynamics, (7 May 2003); doi: 10.1117/12.488776; https://doi.org/10.1117/12.488776
PROCEEDINGS
10 PAGES


SHARE
RELATED CONTENT


Back to Top