Volume 142, Number 5, June 2023
|Number of page(s)||7|
|Section||Biological and soft matter physics|
|Published online||30 May 2023|
Splitting probabilities for dynamics in corrugated channels: Passive vs. active Brownian motion(a)
1 Helmholtz Institute Erlangen-Nürnberg for Renewable Energy (IEK-11), Forschungszentrum Jülich Cauerstr. 1, 91058 Erlangen, Germany
2 Sorbonne Université, CNRS, Laboratoire de Physique Théorique de la Matière Condensée (UMR CNRS 7600) 4 place Jussieu, 75252 Paris Cedex 05, France
(b) E-mail: firstname.lastname@example.org (corresponding author)
Received: 31 January 2023
Accepted: 12 May 2023
In many practically important problems which rely on particles' transport in realistic corrugated channels, one is interested in knowing the probability that either of the extremities (e.g., the one containing a chemically active site, or connected to a broader channel) is reached before the other one. In mathematical literature, the latter are called the “splitting” probabilities (SPs). Here, within the Fick-Jacobs approach, we study analytically the SPs as functions of system's parameters for dynamics in three-dimensional corrugated channels, confronting standard diffusion and active Brownian motion. Our analysis reveals some similarities in the behavior and also some markedly different features, which can be seen as fingerprints of the activity of particles.
© 2023 The author(s)
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