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Diffusion of an Active Particle Bound to a Generalized Elastic Model: Fractional Langevin Equation
Version 1
: Received: 27 November 2023 / Approved: 30 November 2023 / Online: 30 November 2023 (04:28:39 CET)
A peer-reviewed article of this Preprint also exists.
Taloni, A. Diffusion of an Active Particle Bound to a Generalized Elastic Model: Fractional Langevin Equation. Fractal Fract. 2024, 8, 76. Taloni, A. Diffusion of an Active Particle Bound to a Generalized Elastic Model: Fractional Langevin Equation. Fractal Fract. 2024, 8, 76.
Abstract
We investigate the influence of a self-propelling, out-of-equilibrium active particle on generalized elastic systems, including flexible and semiflexible polymers, fluid membranes, and fluctuating interfaces, while accounting for long-ranged hydrodynamic effects. We derive the fractional Langevin equation governing the dynamics of the active particle, as well as that of any other passive particle (or probe) bound to the elastic system. Our study explores the diffusional behavior emerging for both the active particle and a distant probe.
Keywords
active Ornstein-Uhlenbeck; generalized elastic model; fractional Langevin equation
Subject
Physical Sciences, Condensed Matter Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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