Uphill anomalous transport in a deterministic system with speed-dependent friction coefficient

doi:10.1088/1674-1056/26/1/010502

中国物理B ›› 2017, Vol. 26 ›› Issue (1): 10502-010502.doi: 10.1088/1674-1056/26/1/010502

Uphill anomalous transport in a deterministic system with speed-dependent friction coefficient

Wei Guo(郭伟), Lu-Chun Du(杜鲁春), Zhen-Zhen Liu(刘真真), Hai Yang(杨海), Dong-Cheng Mei(梅冬成)

1. Department of Physics, Kunming University, Kunming 650214, China;
2. Department of Physics, Yunnan University, Kunming 650091, China

收稿日期:2016-05-12 修回日期:2016-10-08 出版日期:2017-01-05 发布日期:2017-01-05
通讯作者: Wei Guo E-mail:guoweiphys@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11547027 and 11505149), the Program for Innovative Research Team (in Science and Technology) in University of Yunnan Province, China, the Science Foundation of Kunming University, China (Grant Nos. YJL15005 and XJL15016), the Academic Rewards for Outstanding Young Doctoral Candidate in Yunnan Province, China, and the Cultivation Foundation for Outstanding Doctoral Dissertation of Yunnan University, China.

Uphill anomalous transport in a deterministic system with speed-dependent friction coefficient

Wei Guo(郭伟)¹, Lu-Chun Du(杜鲁春)², Zhen-Zhen Liu(刘真真)², Hai Yang(杨海)¹, Dong-Cheng Mei(梅冬成)²

1. Department of Physics, Kunming University, Kunming 650214, China;
2. Department of Physics, Yunnan University, Kunming 650091, China

Received:2016-05-12 Revised:2016-10-08 Online:2017-01-05 Published:2017-01-05
Contact: Wei Guo E-mail:guoweiphys@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11547027 and 11505149), the Program for Innovative Research Team (in Science and Technology) in University of Yunnan Province, China, the Science Foundation of Kunming University, China (Grant Nos. YJL15005 and XJL15016), the Academic Rewards for Outstanding Young Doctoral Candidate in Yunnan Province, China, and the Cultivation Foundation for Outstanding Doctoral Dissertation of Yunnan University, China.

摘要/Abstract

摘要： We investigate the transport of a deterministic Brownian particle theoretically, which moves in simple one-dimensional, symmetric periodic potentials under the influence of both a time periodic and a static biasing force. The physical system employed contains a friction coefficient that is speed-dependent. Within the tailored parameter regime, the absolute negative mobility, in which a particle can travel in the direction opposite to a constant applied force, is observed. This behavior is robust and can be maximized at two regimes upon variation of the characteristic factor of friction coefficient. Further analysis reveals that this uphill motion is subdiffusion in terms of localization (diffusion coefficient with the form D(t)~t^-1 at long times). We also have observed the non-trivially anomalous subdiffusion which is significantly deviated from the localization; whereas most of the downhill motion evolves chaotically, with the normal diffusion.

关键词: speed-dependent friction coefficient, anomalous transport, anomalous diffusion

Abstract: We investigate the transport of a deterministic Brownian particle theoretically, which moves in simple one-dimensional, symmetric periodic potentials under the influence of both a time periodic and a static biasing force. The physical system employed contains a friction coefficient that is speed-dependent. Within the tailored parameter regime, the absolute negative mobility, in which a particle can travel in the direction opposite to a constant applied force, is observed. This behavior is robust and can be maximized at two regimes upon variation of the characteristic factor of friction coefficient. Further analysis reveals that this uphill motion is subdiffusion in terms of localization (diffusion coefficient with the form D(t)~t^-1 at long times). We also have observed the non-trivially anomalous subdiffusion which is significantly deviated from the localization; whereas most of the downhill motion evolves chaotically, with the normal diffusion.

Key words: speed-dependent friction coefficient, anomalous transport, anomalous diffusion

中图分类号: (Transport processes)

05.60.-k

05.45.-a (Nonlinear dynamics and chaos)

郭伟, 杜鲁春, 刘真真, 杨海, 梅冬成. Uphill anomalous transport in a deterministic system with speed-dependent friction coefficient[J]. 中国物理B, 2017, 26(1): 10502-010502.

Wei Guo(郭伟), Lu-Chun Du(杜鲁春), Zhen-Zhen Liu(刘真真), Hai Yang(杨海), Dong-Cheng Mei(梅冬成). Uphill anomalous transport in a deterministic system with speed-dependent friction coefficient[J]. Chin. Phys. B, 2017, 26(1): 10502-010502.

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Uphill anomalous transport in a deterministic system with speed-dependent friction coefficient

Uphill anomalous transport in a deterministic system with speed-dependent friction coefficient

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