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Transport behaviors of locally fractional coupled Brownian motors with fluctuating interactions

Author

Listed:
  • Wang, Huiqi
  • Ni, Feixiang
  • Lin, Lifeng
  • Lv, Wangyong
  • Zhu, Hongqiang

Abstract

In some complex viscoelastic mediums, it is ubiquitous that absorbing and desorbing surrounding Brownian particles randomly occur in coupled systems. The conventional method is to model a variable-mass system driven by both multiplicative and additive noises. In this paper, an improved mathematical model is created based on generalized Langevin equations (GLE) to characterize the random interaction with locally fluctuating number of coupled particles in the elastically coupled factional Brownian motors (FBM). By the numerical simulations, the effect of fluctuating interactions on collective transport behaviors is investigated, and some abnormal phenomena, such as cooperative behaviors, stochastic resonance (SR) and anomalous transport, are observed in the regime of sub-diffusion.

Suggested Citation

  • Wang, Huiqi & Ni, Feixiang & Lin, Lifeng & Lv, Wangyong & Zhu, Hongqiang, 2018. "Transport behaviors of locally fractional coupled Brownian motors with fluctuating interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 124-135.
    • Handle: RePEc:eee:phsmap:v:505:y:2018:i:c:p:124-135
    DOI: 10.1016/j.physa.2018.03.047
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    References listed on IDEAS

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    1. Wu, Dan & Zhu, Shiqun & Luo, Xiaoqin, 2012. "Coupled Brownian motors with two different kinds of time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1032-1037.
    2. Lv, Wangyong & Wang, Huiqi & Lin, Lifeng & Wang, Fei & Zhong, Suchuan, 2015. "Transport properties of elastically coupled fractional Brownian motors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 149-161.
    3. Wang, Hai-Yan & Bao, Jing-Dong, 2005. "Cooperation behavior in transport process of coupled Brownian motors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 357(3), pages 373-382.
    4. Olivares-Rivas, Wilmer & Colmenares, Pedro J., 2016. "The generalized Langevin equation revisited: Analytical expressions for the persistence dynamics of a viscous fluid under a time dependent external force," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 76-94.
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    Cited by:

    1. Tian, Yan & Yu, Tao & He, Gui-Tian & Zhong, Lin-Feng & Stanley, H. Eugene, 2020. "The resonance behavior in the fractional harmonic oscillator with time delay and fluctuating mass," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    2. Cui, Yingxue & Ning, Lijuan, 2023. "Transport of coupled particles in fractional feedback ratchet driven by Bounded noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    3. Lin, Lifeng & Wang, Huiqi & Ma, Hong, 2019. "Directed transport properties of double-headed molecular motors with balanced cargo," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 270-279.

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