Transport enhancement and efficiency optimization in two heat reservoir ratchets

doi:10.1088/1674-1056/21/5/050502

中国物理B ›› 2012, Vol. 21 ›› Issue (5): 50502-050502.doi: 10.1088/1674-1056/21/5/050502

Transport enhancement and efficiency optimization in two heat reservoir ratchets

曾春华¹ ²,王华²

a. Faculty of Science, Kunming University of Science and Technology, Kunming 650093, China;
b. Center of Metallurgical Energy Conservation and Emission Reduction, Ministry of Education, Kunming University of Science and Technology, Kunming 650093, China

收稿日期:2011-11-04 修回日期:2012-04-27 出版日期:2012-04-01 发布日期:2012-04-01
基金资助:
Project supported by the Natural Science Foundation of Yunnan Province, China (Grant No. 2010CD031) and the Key Project of Research Fund of Education Department of Yunnan Province, China (Grant No. 2001Z011).

Transport enhancement and efficiency optimization in two heat reservoir ratchets

Zeng Chun-Hua(曾春华)^a)b) and Wang Hua(王华)^b)†

a. Faculty of Science, Kunming University of Science and Technology, Kunming 650093, China;
b. Center of Metallurgical Energy Conservation and Emission Reduction, Ministry of Education, Kunming University of Science and Technology, Kunming 650093, China

Received:2011-11-04 Revised:2012-04-27 Online:2012-04-01 Published:2012-04-01
Supported by:
Project supported by the Natural Science Foundation of Yunnan Province, China (Grant No. 2010CD031) and the Key Project of Research Fund of Education Department of Yunnan Province, China (Grant No. 2001Z011).

摘要/Abstract

摘要： We study a Brownian motor moving in a sawtooth potential in the presence of an external driving force and two heat reservoirs. Based on the corresponding Fokker--Planck equation, the analytical expressions of the current and efficiency in the quasi-steady-state limit are obtained. The effects of temperature difference and the amplitude of the external driving force on the current and efficiency are discussed, respectively. The following is our findings. (i) The current increases with both δ and A. In other words, δ and A enhance the transport of the Brownian motor. (ii) The competition between the temperature difference and the amplitude of the external driving force can lead to efficiency optimization. The efficiency is a peaked function of temperature, i.e., δ>0 and a lower amplitude value of the external driving force is necessary for efficiency optimization. (iii) The efficiency increases with δ, and decreases with A. δ and A play opposite roles with respect to the efficiency, which indicates that δ enhances the efficiency of energy transformation while A weakens it.

关键词: temperature difference, sawtooth potential, current and efficiency

Abstract: We study a Brownian motor moving in a sawtooth potential in the presence of an external driving force and two heat reservoirs. Based on the corresponding Fokker--Planck equation, the analytical expressions of the current and efficiency in the quasi-steady-state limit are obtained. The effects of temperature difference and the amplitude of the external driving force on the current and efficiency are discussed, respectively. The following is our findings. (i) The current increases with both $\delta$ and A. In other words, $\delta$ and A enhance the transport of the Brownian motor. (ii) The competition between the temperature difference and the amplitude of the external driving force can lead to efficiency optimization. The efficiency is a peaked function of temperature, i.e., $\delta$>0 and a lower amplitude value of the external driving force is necessary for efficiency optimization. (iii) The efficiency increases with $\delta$, and decreases with A. $\delta$ and A play opposite roles with respect to the efficiency, which indicates that δ enhances the efficiency of energy transformation while A weakens it.

Key words: temperature difference, sawtooth potential, current and efficiency

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

05.40.-a

05.70.-a (Thermodynamics) 87.10.-e (General theory and mathematical aspects)

曾春华, 王华. Transport enhancement and efficiency optimization in two heat reservoir ratchets[J]. 中国物理B, 2012, 21(5): 50502-050502.

Zeng Chun-Hua(曾春华) and Wang Hua(王华) . Transport enhancement and efficiency optimization in two heat reservoir ratchets[J]. Chin. Phys. B, 2012, 21(5): 50502-050502.

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Transport enhancement and efficiency optimization in two heat reservoir ratchets

Transport enhancement and efficiency optimization in two heat reservoir ratchets

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