中国物理B ›› 2016, Vol. 25 ›› Issue (9): 90501-090501.doi: 10.1088/1674-1056/25/9/090501

• GENERAL • 上一篇    下一篇

Current and efficiency optimization under oscillating forces in entropic barriers

Ferhat Nutku, Ekrem Aydiner   

  1. Theoretical Physics Research Group, Department of Physics, Faculty of Science, İstanbul University, Vezneciler, İstanbul 34134, Turkey
  • 收稿日期:2016-02-17 修回日期:2016-05-07 出版日期:2016-09-05 发布日期:2016-09-05
  • 通讯作者: Ferhat Nutku E-mail:fnutku@istanbul.edu.tr
  • 基金资助:
    Project supported by the Istanbul University, Turkey (Grant No. 55383).

Current and efficiency optimization under oscillating forces in entropic barriers

Ferhat Nutku, Ekrem Aydiner   

  1. Theoretical Physics Research Group, Department of Physics, Faculty of Science, İstanbul University, Vezneciler, İstanbul 34134, Turkey
  • Received:2016-02-17 Revised:2016-05-07 Online:2016-09-05 Published:2016-09-05
  • Contact: Ferhat Nutku E-mail:fnutku@istanbul.edu.tr
  • Supported by:
    Project supported by the Istanbul University, Turkey (Grant No. 55383).

摘要: The transport of externally overdriven particles confined in entropic barriers is investigated under various types of oscillating and temporal forces. Temperature, load, and amplitude dependence of the particle current and energy conversion efficiency are investigated in three dimensions. For oscillating forces, the optimized temperature-load, amplitude-temperature, and amplitude-load intervals are determined when fixing the amplitude, load, and temperature, respectively. By using three-dimensional plots rather than two-dimensional ones, it is clearly shown that oscillating forces provide more efficiency compared with a temporal one in specified optimized parameter regions. Furthermore, the dependency of efficiency to the angle between the unbiased driving force and a constant force is investigated and an asymmetric angular dependence is found for all types of forces. Finally, it is shown that oscillating forces with a high amplitude and under a moderate load lead to higher efficiencies than a temporal force at both low and high temperatures for the entire range of contact angle.

关键词: entropic barrier, Brownian motion, Fick-Jacobs equation, efficiency of Brownian motor

Abstract: The transport of externally overdriven particles confined in entropic barriers is investigated under various types of oscillating and temporal forces. Temperature, load, and amplitude dependence of the particle current and energy conversion efficiency are investigated in three dimensions. For oscillating forces, the optimized temperature-load, amplitude-temperature, and amplitude-load intervals are determined when fixing the amplitude, load, and temperature, respectively. By using three-dimensional plots rather than two-dimensional ones, it is clearly shown that oscillating forces provide more efficiency compared with a temporal one in specified optimized parameter regions. Furthermore, the dependency of efficiency to the angle between the unbiased driving force and a constant force is investigated and an asymmetric angular dependence is found for all types of forces. Finally, it is shown that oscillating forces with a high amplitude and under a moderate load lead to higher efficiencies than a temporal force at both low and high temperatures for the entire range of contact angle.

Key words: entropic barrier, Brownian motion, Fick-Jacobs equation, efficiency of Brownian motor

中图分类号:  (Brownian motion)

  • 05.40.Jc
05.10.Gg (Stochastic analysis methods) 05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion)