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Anomalous transports in a time-delayed system subjected to anomalous diffusion

Author

Listed:
  • Chen, Ru-Yin
  • Tong, Lu-Mei
  • Nie, Lin-Ru
  • Wang, Chaojie
  • Pan, Wanli

Abstract

We investigate anomalous transports of an inertial Brownian particle in a time-delayed periodic potential subjected to an external time-periodic force, a constant bias force, and the Lévy noise. By means of numerical calculations, effect of the time delay and the Lévy noise on its mean velocity are discussed. The results indicate that: (i) The time delay can induce both multiple current reversals (CRs) and absolute negative mobility (ANM) phenomena in the system; (ii) The CRs and ANM phenomena only take place in the region of superdiffusion, while disappear in the regions of normal diffusion; (iii) The time delay can cause state transition of the system from anomalous →normal→anomalous→normal→anomalous →normal transport in the case of superdiffusion.

Suggested Citation

  • Chen, Ru-Yin & Tong, Lu-Mei & Nie, Lin-Ru & Wang, Chaojie & Pan, Wanli, 2017. "Anomalous transports in a time-delayed system subjected to anomalous diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 532-539.
    • Handle: RePEc:eee:phsmap:v:468:y:2017:i:c:p:532-539
    DOI: 10.1016/j.physa.2016.10.071
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    References listed on IDEAS

    as
    1. Zeng, Lingzao & Xu, Bohou, 2010. "Effects of asymmetric Lévy noise in parameter-induced aperiodic stochastic resonance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(22), pages 5128-5136.
    2. Alexandra Ros & Ralf Eichhorn & Jan Regtmeier & Thanh Tu Duong & Peter Reimann & Dario Anselmetti, 2005. "Absolute negative particle mobility," Nature, Nature, vol. 436(7053), pages 928-928, August.
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