Current transport and mass separation for an asymmetric fluctuation system with correlated noises

Abstract

We discuss the transport of an underdamped particle driven by an external fluctuation force in a spatially periodic asymmetric potential with correlated noises. The corresponding mathematical model is established. The movement of the steady current of an underdamped particle is presented by the method of the numerical simulation. It is indicated that the value of the current may be negative, zero, or positive. The external fluctuation force and correlated noises can effect the current direction. Under the appropriate parameters, the correlated noises intensity may even raise a reversal of the current. Besides, we have noticed a phenomenon that particles with different weight have different directions during movement by the impact of the correlated noises and external fluctuation force. Therefore, the Brownian particles can be effectively separated according to their masses.

Asymmetric stochastic resonance under non-Gaussian colored noise and time-delayed feedback*

“…The previous studies of SR were generally based on the symmetric potential function, [13][14][15] but there were few studies based on asymmetric potential functions, and most of them are asymmetric systems in real natural systems. So studying asymmetric systems is another key point in the development of SR theory.…”