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

Wei Guo, Can-Jun Wang, Lu-Chun Du and Dong-Cheng Mei

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 19, 4210-4215

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.

Keywords: Active Brownian motion; Transport processes; Time delay; Noise (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:19:p:4210-4215

DOI: 10.1016/j.physa.2013.05.026

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