https://doi.org/10.1140/epjb/s10051-024-00685-5
Regular Article - Statistical and Nonlinear Physics
Confinement effect on diffusion dynamics in active viscoelastic environments
1
School of Mathematics and Statistics, Northwestern Polytechnical University, 710072, Xi’an, China
2
Faculty of Graduate Studies for Statistical Research, Cairo University, 12613, Giza, Egypt
3
MOE Key Laboratory for Complexity Science in Aerospace, Northwestern Polytechnical University, 710072, Xi’an, China
Received:
19
February
2024
Accepted:
4
April
2024
Published online:
24
April
2024
Understanding the diffusion dynamics of active particles experiencing external potential in viscoelastic environments is key to understanding biological systems such as molecular motors which rarely move unbounded geometry. In this paper, we investigate the characteristics of motion governed by underdamped active generalized Langevin equation with harmonic potential. The effects of inertia, viscoelasticity, confinement, and active noise on the behavior of ensemble mean squared displacement (MSD) and time-averaged MSD (TAMSD), ergodicity, and velocity autocorrelation function (VAF) have been analyzed. We observe that confinement has significant effects on the long-term behavior of these observables. Finally, we numerically quantify the behavior of the first passage time statistics in a finite domain. Besides the slow viscoelastic environment, we find that the active force and confinement also reduce the mean first passage time (MFPT). In this context, these factors may play a constructive role in the search process in relevant systems such as living cells.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024. 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.
