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Effects of time delay on transport processes in an active Brownian particle

Author

Listed:
  • Guo, Wei
  • Wang, Can-Jun
  • Du, Lu-Chun
  • Mei, Dong-Cheng

Abstract

The transport properties of an active Brownian particle with a time-delayed feedback and an external bias are investigated theoretically. By virtue of the perturbation theory for small delay, analytical expressions for the mean velocity and effective diffusion coefficient are derived. There exists a critical absolute value of the bias, below and above which the delay, respectively, enhances and weakens the diffusion, for a fixed noise intensity. The effects of delay observed above are more pronounced for weaker noise. These results are further verified via direct numerical simulations.

Suggested Citation

  • Guo, Wei & Wang, Can-Jun & Du, Lu-Chun & Mei, Dong-Cheng, 2013. "Effects of time delay on transport processes in an active Brownian particle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4210-4215.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:19:p:4210-4215
    DOI: 10.1016/j.physa.2013.05.026
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    Cited by:

    1. Wang, Tonghuan & Guan, Lin & Zeng, Chunhua, 2019. "Transition induce by positive and negative time delay feedback in active Brownian particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    2. Chendur Kumaran, R. & Venkatesh, T.G. & Swarup, K.S., 2022. "Stochastic delay differential equations: Analysis and simulation studies," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).

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