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

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

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.

Keywords: speed-dependent friction coefficient anomalous transport anomalous diffusion

Received: 12 May 2016
Revised: 08 October 2016
Accepted manuscript online:

PACS:	05.60.-k	(Transport processes)
	05.45.-a	(Nonlinear dynamics and chaos)

Fund: 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.

Corresponding Authors: Wei Guo
E-mail: guoweiphys@163.com

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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 2017 Chin. Phys. B 26 010502

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

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