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Transport properties of elastically coupled fractional Brownian motors

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  • Lv, Wangyong
  • Wang, Huiqi
  • Lin, Lifeng
  • Wang, Fei
  • Zhong, Suchuan

Abstract

Under the background of anomalous diffusion, which is characterized by the sub-linear or super-linear mean-square displacement in time, we proposed the coupled fractional Brownian motors, in which the asymmetrical periodic potential as ratchet is coupled mutually with elastic springs, and the driving source is the external harmonic force and internal thermal fluctuations. The transport mechanism of coupled particles in the overdamped limit is investigated as the function of the temperature of baths, coupling constant and natural length of the spring, the amplitude and frequency of driving force, and the asymmetry of ratchet potential by numerical stimulations. The results indicate that the damping force involving the information of historical velocity leads to the nonlocal memory property and blocks the traditional dissipative motion behaviors, and it even plays a cooperative role of driving force in drift motion of the coupled particles. Thus, we observe various non-monotonic resonance-like behaviors of collective directed transport in the mediums with different diffusion exponents.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:437:y:2015:i:c:p:149-161
    DOI: 10.1016/j.physa.2015.05.109
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    References listed on IDEAS

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    1. Koen Visscher & Mark J. Schnitzer & Steven M. Block, 1999. "Single kinesin molecules studied with a molecular force clamp," Nature, Nature, vol. 400(6740), pages 184-189, July.
    2. 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.
    3. Mark J. Schnitzer & Steven M. Block, 1997. "Kinesin hydrolyses one ATP per 8-nm step," Nature, Nature, vol. 388(6640), pages 386-390, July.
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    Cited by:

    1. Du, Yuru & Meng, Lin & Lin, Lifeng & Wang, Huiqi, 2024. "Resonant behaviors of two coupled fluctuating-frequency oscillators with tempered Mittag-Leffler memory kernel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(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. 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.
    4. Zhang, Ruoqi & Meng, Lin & Yu, Lei & Shi, Sihong & Wang, Huiqi, 2024. "Collective dynamics of fluctuating–damping coupled oscillators in network structures: Stability, synchronism, and resonant behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 638(C).
    5. 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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