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

doi:10.1088/1674-1056/27/1/010501

中国物理B ›› 2018, Vol. 27 ›› Issue (1): 10501-010501.doi: 10.1088/1674-1056/27/1/010501

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

Jie Wang(王杰), Li-Juan Ning(宁丽娟)

School of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710119, China

收稿日期:2017-06-05 修回日期:2017-10-06 出版日期:2018-01-05 发布日期:2018-01-05
通讯作者: Li-Juan Ning E-mail:ninglijuan@snnu.edu.cn
基金资助:
Projected supported by the National Natural Science Foundation of China (Grant No. 11202120) and the Fundamental Research Funds for the Central Universities of China (Grant Nos. GK201502007 and GK201701001).

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

Jie Wang(王杰), Li-Juan Ning(宁丽娟)

School of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710119, China

Received:2017-06-05 Revised:2017-10-06 Online:2018-01-05 Published:2018-01-05
Contact: Li-Juan Ning E-mail:ninglijuan@snnu.edu.cn
Supported by:
Projected supported by the National Natural Science Foundation of China (Grant No. 11202120) and the Fundamental Research Funds for the Central Universities of China (Grant Nos. GK201502007 and GK201701001).

摘要/Abstract

摘要： 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.

关键词: current transport, correlated noises, fluctuation force, Brownian motion

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.

Key words: current transport, correlated noises, fluctuation force, Brownian motion

中图分类号: (Fluctuation phenomena, random processes, noise, and Brownian motion)

05.40.-a

02.50.Ey (Stochastic processes)

王杰, 宁丽娟. Current transport and mass separation for an asymmetric fluctuation system with correlated noises[J]. 中国物理B, 2018, 27(1): 10501-010501.

Jie Wang(王杰), Li-Juan Ning(宁丽娟). Current transport and mass separation for an asymmetric fluctuation system with correlated noises[J]. Chin. Phys. B, 2018, 27(1): 10501-010501.

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

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

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