Effects of time delay on transport processes in an active Brownian particle |
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Authors: | Wei Guo Can-Jun Wang Lu-Chun Du Dong-Cheng Mei |
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Affiliation: | 1. Department of Physics, Yunnan University, Kunming, 650091, China;2. Department of Physics, Baoji University of Arts and Sciences, Baoji, 721007, China |
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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. |
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Keywords: | Active Brownian motion Transport processes Time delay Noise |
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