https://doi.org/10.1140/epje/s10189-023-00283-w
Regular Article - Flowing Matter
Active Brownian particles in a biased periodic potential
1
School of Mathematics and Statistics, Northwestern Polytechnical University, 710129, Xi’an, Shaanxi, People’s Republic of China
2
Department of Physics, Humboldt Universität zu Berlin, Newtonstr 15, 12489, Berlin, Germany
3
Bernstein Center for Computational Neuroscience, Haus 2, Philippstr 13, 10115, Berlin, Germany
Received:
18
November
2022
Accepted:
19
March
2023
Published online:
30
March
2023
We study transport properties of an active Brownian particle with an Rayleigh–Helmholtz friction function in a biased periodic potential. In the absence of noise and depending on the parameters of the friction function and on the bias force, the motion of the particle can be in a locked state or in different running states. According to the type of solutions, the parameter plane of friction and bias force can be divided into four regions. In these different regimes, there is either only a locked state, only a running state, a bistability between locked and running states, or a bistability of two different running states (corresponding to a systematic motion to the left or right, respectively). In the presence of noise, the mean velocity depends in different ways on the noise intensity for the various parameter regimes. These dependences are explored by means of numerical simulations and simple analytical estimates for limiting cases.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
