中国物理B ›› 2024, Vol. 33 ›› Issue (2): 20502-020502.doi: 10.1088/1674-1056/ace8fa

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Symmetric Brownian motor subjected to Lévy noise

Kao Jia(贾考), Lan Hu(胡兰), and Linru Nie(聂林如)   

  1. Faculty of Science, Kunming University of Science and Technology, Kunming 650500, China
  • 收稿日期:2023-04-21 修回日期:2023-07-12 接受日期:2023-07-20 出版日期:2024-01-16 发布日期:2024-01-16
  • 通讯作者: Linru Nie E-mail:lrnie@163.com
  • 基金资助:
    Project supported by the Research Group of Nonequilibrium Statistics (Grant No. 14078206) and Kunming University of Science and Technology, China.

Symmetric Brownian motor subjected to Lévy noise

Kao Jia(贾考), Lan Hu(胡兰), and Linru Nie(聂林如)   

  1. Faculty of Science, Kunming University of Science and Technology, Kunming 650500, China
  • Received:2023-04-21 Revised:2023-07-12 Accepted:2023-07-20 Online:2024-01-16 Published:2024-01-16
  • Contact: Linru Nie E-mail:lrnie@163.com
  • Supported by:
    Project supported by the Research Group of Nonequilibrium Statistics (Grant No. 14078206) and Kunming University of Science and Technology, China.

摘要: In the past few years, attention has mainly been focused on the symmetric Brownian motor (BM) with Gaussian noises, whose current and energy conversion efficiency are very low. Here, we investigate the operating performance of the symmetric BM subjected to Lévy noise. Through numerical simulations, it is found that the operating performance of the motor can be greatly improved in asymmetric Lévy noise. Without any load, the Lévy noises with smaller stable indexes can let the motor give rise to a much greater current. With a load, the energy conversion efficiency of the motor can be enhanced by adjusting the stable indexes of the Lévy noises with symmetry breaking. The results of this research are of great significance for opening up BM's intrinsic physical mechanism and promoting the development of nanotechnology.

关键词: symmetric Brownian motor, average velocity, energy conversion efficiency, Lévy noise

Abstract: In the past few years, attention has mainly been focused on the symmetric Brownian motor (BM) with Gaussian noises, whose current and energy conversion efficiency are very low. Here, we investigate the operating performance of the symmetric BM subjected to Lévy noise. Through numerical simulations, it is found that the operating performance of the motor can be greatly improved in asymmetric Lévy noise. Without any load, the Lévy noises with smaller stable indexes can let the motor give rise to a much greater current. With a load, the energy conversion efficiency of the motor can be enhanced by adjusting the stable indexes of the Lévy noises with symmetry breaking. The results of this research are of great significance for opening up BM's intrinsic physical mechanism and promoting the development of nanotechnology.

Key words: symmetric Brownian motor, average velocity, energy conversion efficiency, Lévy noise

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

  • 05.40.-a
05.60.Cd (Classical transport) 05.70.Ln (Nonequilibrium and irreversible thermodynamics)